002007   Marhoune A L;Hameida A (Laboratoire Equations Differentielles, and Laboratoire des Mathematiqu, Universite Mentouri Constantine, 25000 Constantine, Algerie, Email: marhoune@umc.edu.dz) : Mixed problem with an integral space variable condition for a third order parabolic equation of mixed type. Far East J mathl Sci 2008, 29(2), 409-18.

Authors study a mixed problem with an integral space variable condition for a parabolic equation of mixed type. The existence and uniqueness of the solution in a functional weighted Sobolev space are proved. The proof is based on two sided a priori estimates and the density of the range of the operator generated by the considered problem.

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002006   Lyulko N A (NO, Sobolev Institute of Mathematics, Pr. Koptyuga 4 Novosibirsk 630090, Russia, Email: natyl@mail.ru) : Behaviour of solutions to initil-boundary value hyperbolic problems with lumped delay in the boundary conditions at t → ∞. J Analysis Applic 2008, 6(2), 113-28.

An initial-boundary value problem for a linear homogeneous hyperbolic system of the first order with lumped delay in the boundary conditions is considered in the half-strip Π = {(x, t) : 0<x<1, t>0}. Asymptotic properties of the Laplace transform of the solution to the considered problem is studied. Boundary conditions which guarantee increasing smoothness of the solution to the considered problem as t grows are formulated.

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002005   Luo H C;Wang Z G (Mathematics Dep, Xiangnan Univ, Chenzhou-423 000, Email: xnxylhc@163.com) : Some subclasses of analytic functions with respect to 2k-symmetric conjugate points. J Analysis Computn 2008, 4(1), 69-77.

Authors introducd two new subclasses P^(k)_sc (λ, α) and Q^{(k)_sc (λ,α) of analytic functions with respect td 2k-symmetric conjugate points. Such results as integral representations, convolution conditions and coefficient inequalities for these classes are provided.}

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002004   Li C K (Mathematics and Computer Science Dep, Brandon Univ, Brandon, Manitoba, Canada R7A 6A9, Email: lic@brandonu.ca ) : Products of distributions on manifolds and invariant theorem. J Analysis Applic 2008, 6(2), 77-95.

The problem of defining products of distributions on manifolds has been very difficult since there is a serious lack of definitions for products and powers of generalized functions overall, although they are in great demand for quantum field theory. Few results have been obtained so far in the area of interest. In this paper, initially study the products, such as /(P)δ^(k)(P) and f(P,Q) δ5(PQ), on regular manifolds, where (δ^(k)(P), φ) = (-1)^k ∫_P=0 w_k(φ). Then utilizing Pizetti's formula, we compute the product X δ(P), which one is unable to obtain along the differential form approach. Furthermore, we use the delta sequence and the convolution given on the P = 0 to derive an invariant theorem, that powerfully converts the products of distributions on manifolds into the well-denned products of a single variable. Several examples, including the product of P^r₊(x) and δ^(k)(P(x)), are presented by the invariant theorem.

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002003   Lebri N;Djabi S (Mathematics Dep, Faculty of Sciences, Farhat Abbas Univ, Setif, 19000, Algeria) : Frictional bilateral contact in viscoplasticity. Far East J mathl Sci 2008, 29(2), 467-79.

The aim of this work is to study of a value problem describing the quasistatic evolution of semilinear retetype viscoplastic models assuming the problem of Tresca's friction law in the presence of recal forces. The existence and uniqueness of the solution is proved using results of evolutionary variational inequalities and a fixed point theorem.

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002002   Kuroki K;Owa S (Mathematics Dep, Kinki Univ, Higashi-Osaka, Osaka 577-8502, Japan, Email: freedom@sakai.zaq.ne.jp) : Some subordination criteria for the generalizd janowski functions. J Analysis Applic 2008, 6(2), 97-112.

For the class A of analytic functions f(z) in the open unit disk U which are normalized by f(0) = f'(0) -1 = 0, an extension of Janowski functions generalized by some complex parameters A and B is discussed. Furthermore, from the subordination criteria concerning the following subordination zf'(z)/f(z) ∝ 1+Az/1+Bz (z ∈ U), some interesting subordination criteria for /(z) 6 A are given.

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002001   Kangni K;Toure S;Toure I (UFR de Mathematiques et Informatique, Universite de Cocody, 22 BP 1214 Abidjan, Rep. de Cote d'Ivoire) : On some hilbert cosine functions. Far East J mathl Sci 2008, 29(2), 497-511.

Considered the equation: <222>_K φ (xk.y)dk = φ(x)φ(y), x,y ∈ G in which a compact group K with normalized Haar measure dk acts on a locally compact group G by automorphism. Let H be a Hilbert space and B(H) be the bounded linear operators on H. Any bounded solution of (1) is called generalized cosine function. In this work Authors study some characterizations and properties of these cosine functions. The abelian case is developed.

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002000   Jayadevappa D;Srinivas Kumar S;Murty D S (Research Scholar, Medical Electronics Dep, MSRIT, Bangalore, Email: jayadev_latha@yahoo.com) : Active contours for segmentation of brain tissue using mri data. J Analysis Computn 2008, 4(1), 79-85.

In this paper author proposed an Active contour based on level set for brain tissue segmentation using MRI data The use of level set theory has provided more flexibility and convenience in the implementation of active contours. This method uses Bayesian a posterior probabilities as the driving forces for curve evolution. Distribution prior, if available, can be seamlessly integrated into the level set evolution procedure. Unlike other region based active contour models, solution relaxes the global piecewise constant assumption, and uses locally varying Gaussians to better account for intensity inhomogeneity and robust segmentations are therefore achieved. Experimental results for MRIs demonstrate the improvement made by this method.

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001999   Janfada M (Mathematics Dep, Tarbiat Moallem Univ, Sabzeva, Iran, Email: m_janfada@sttu.ac.ir) : One parameter σ-Semigroup of operators on banach spaces. J Analysis Applic 2008, 6(2), 129-37.

In this work authors introduced σ-one parameter semigroups of operators on Banach spaces and its related concepts. It showon that some of properties of Co-semigroups holds in σ-semigroups. By some examples it is shown that some so-called properties of semigroups, for example the Hille-Yosida theorem, is not true in σ-semigroups of operators. Also proves that if the generator of a σ-semigroup is bounded then it is uniformly continuous although its converse is not valid in general. Furthermore analogous abstract Cauchy problem is diseased.

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001998   Horry M;Zahedi M M (Mathematics Dep, Shahid Bahonar Univ of Kerman, Kerman, Iran, Email: mohhorry@yahoo.com) : Equivalenced in max-min deterministic general fuzzy automata of order n. Int Rev Fuzzy Math 2008, 3(1), 1-19.

Defines the notions of max-min deterministic general fuzzy automata of order n of a max-min general fuzzy automaton, the overall transition function of a max-min deterministic general fuzzy automaton of order n, the initialized max-min deterministic general fuzzy automaton of a max-min general fuzzy automaton of order n and the response number of an initialized max-min deterministic general fuzzy automaton. Then by using these notions, three types of equivalence relations are considered, namely, statewise, compositewise, distributionwise equivalence. It is shown that the last two are equivalent. Finally, defined the notions of the max-min (statewise irreducible, compositewise irreducible, distributionwise irreducible, effective, statewise minimal, compositewise minimal) deterministic general fuzzy automaton of order n of a max-min general fuzzy automaton and find the relationship between them.

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001997   Hatomoto J (Mathematics Dep, Tokyo Institute of Technology, O-okayama, Meguro-ku, Tokyo, 152-8551, Email: hatomoto.j.aa@m.titech.ac.jp) : Mixing properties for invertible maps with weak hyperbolic product structure. Far East J mathl Sci 2008, 29(2), 257-310.

An invertible map f which admits a weak hyperbolic product structure region, which is the intersection of two transversal families of weak stable and weak unstable disks, with countably many branches and variable return times. Obtains that f has an invariant probability measure v whose conditional measures on the weak unstable disks are absolutely continuous with respect to the Lebesgue measures on these disks such that the correlation function Cor_n(φ, ψ; ν) of (f, ν) for Holder continuous functions (φ and ψ with Holder exponent η satisfies the following formula: Cor_n(φ, ψ; ν) = max {O(v(n/4)^-1), O(λ (ρ_nn)^η), O(τ(ρ_nn)^η) }, where v(t) is a positive increasing function with t ≥ 0 in a way related to asymptotic mass of the return times on the weak unstable disks, and λ(l) (resp. τ(l)) is the supremum of the diameters of the l-th forward (resp. backward) iterate of the weak stable (resp. unstable) disks. This formula includes exponential, polynomial and stretched exponential decay of correlations.

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001996   Guesmia A;Daili N (NO, Universite du 20 Aout 1955-Skikda, Route d'El-Hadaiek B.P.: 26 Skikda-21000, ALgeria, Email: guesmaiasaid@yahoo.fr) : Finite volume approximation of stationary Burgers equation. J Analysis Applic 2008, 6(3), 179-93.

In this paper author studied stationary Burgers' equation. Finite elements and finite volume approximations schemes of stationary Burgers' equation are given, Proved a convergence and error estimate. Some numerical simulations are given.

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001995   Girolo J;Gu C (Mathematics Dep, California Polytechnic State Univ, San Luis Obispo, CA 93405, U.S.A., Email: jgirolo@calpoly.edu) : Joint spectrum of several matrices. Far East J mathl Sci 2008, 29(2), 327-40.

The joint spectrum σJ(C) of a set of matrices C = {C₁, ..., C_m} is defined. When the matrices in C can be upper-triangularized by the same similarity transformation, the fan spectrum, op (C), is defined and it is shown that σJ(C) ⊆ σF(C). If the matrices in C commute amongst themselves, then σJ(C) ⊆ σF(C). A generalization of the fact that an n x n matrix with n-distinct eigenvalues is diagonalizable is also established.

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001994   Fisher B (Mathematics Dep, Leicester Univ, Leicester, LE1 7RH, England, Email: fbr@le.ac.yk) : On the composition of the distributions x<. Far East J mathl Sci 2008, 29(2), 311-26.

Let F be a distribution and let / be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {F_n(f}}, where F_n(x) = F(x) * δ_n(x) and {δ_n(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function 5(x). The distribution (x^μ₊)^-1 1n|x^μ₊| is evaluated for μ > 0 and μ | 1, 2, ....

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001993   Dashore P (School of Computer's and Electronics, IPS Academy, Rajendra Nagar, Indore, Madhya Pradesh, Email: pk_dashore@yahoo.co.in) : Fuzzy metagraph for knowledge representation and indexing. J Analysis Computn 2008, 4(1), 33-41.

In past fuzzy set based theory used to represent uncertain knowledge but fuzzy metagraph is used to represent knowledge with more effective manner. Directed graphs have some similarity with metagraphs. However fuzzy metagraph posses great potential for knowledge representation and also applied in data, management, rule management, and hierarchical modeling and specially focused on structural aspects. Inference mechanisms are introduced to allow instant access to relevant rules. In Fuzzy metagraph indexing is a system used to search information quickly. In this paper I use Fuzzy metagraph for representation of uncertainty knowledge and indexing approach in rule based system Firstly I introduce fuzzy metagraph and then their representation through rule. This paper presents a rule based knowledge representation scheme through fuzzy meta graph, with the capability of describing the relationships between sets of fuzzy element, fuzzy knowledge could be represent in both graphic and algebraic format. For algebraic representation the FM closure matrix is used for query processing and effective representation. An index is a system used to make finding information easier The indexing approach with rule-based system would make more importance of fuzzy metagraph.

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001992   Belaidi B (Mathematics Dep, Laboratory of Pure and Applied Mathematics, Mostaganem Univ, B.P. 227 Mostaganem, Algeria, Email: belaidi@univ-mosta.dz) : On the complex oscillation of some differential polynomials. J Analysis Applic 2008, 6(3), 139-51.

Paper is devoted to studying the growth problem and the zerds of some differential polynomials generated by solutions of the differential equation f" +A₁(z)f' +A₀(z)f = 0, where A_j (z) (≡ 0) (j = 0,1) are transcendental meromorphic functions of finite p-iterated order.

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001991   Basavarajappa K S;Katiyar V K;Manjunatha G; Knkarappa K S;Krishnakumar T K;Naik S S (Mathematics Dep, Bapuji Institute of Engineering and Technology, Davangere, Karnataka) : Mathematical modeling on human blood in reference to the variation of hematocrit. J Analysis Computn 2008, 4(1), 21-32.

Mathematical model to compute the velocity, flux and resistance of flow of blood in relation to iron deficiency anemia (IDA) has been studied in this paper. Viscosity of the blood for iron deficiency is computed and compared with that of physiological value i.e. 100 ml of blood containing 15 gm of hemoglobin contain 50 mg of iron. Percentage of iron is calculated by processing the green leaves collected from the different locations. Ten individuals aged from 5 years to 20 years have been adapted for hemoglobin monitoring. Total protein minus albumin (TPMA 40-30g/l) a chemical variable composed of fityinogen and globulin for estimating the iron percentage is used in the mathematical model. Analytically computed values of iron percentage gave the insight to record the decrease of viscosity by 0.001 poise. Corresponding decrease of hematocrit 42.7% to 34.0% is observed and the decrease ofhematocrit is not negotiable with heme biosynthesis. This change ofhematocrit lowers the binding between hemoglobin and enzymes ultimately causes the unstable hemoglobin and further causes the lowering of normal proteins in the blood. Although the body has a number of compensatory mechanisms which delay the on set of iron deficiency but when the iron deficient state is prolonged so that the iron stores become depleted. As a result hemoglobin synthesis is impaired and the prevalence of iron deficiency anemia develops. This causes the smaller erythrocytes (microcytes) than normal in the blood. Then the hematocrit (volume of packed cells) is lower and each red cell has decreased hemoglobin content. Results show the biological variability among human activities. The fluid (blood) with iron deficiency is considered as non-Newtonian. Walburn - Schneck (W-S model) equation is used as initial parameter to the power exponent of the power law equation. Taylor's series method is employed to compute the velocity, flux, and resistance of flow. Numerical results show good agreement with that of experimental values of Frederick J. et al. [1976], C. M. Rodkiewicz et al. [1990] and X. Y. Luo et al.[1992].

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001990   Azmi F M (Mathematics Dep, College of Science and Medical Studies at Malaz, King Saud Univ, P. O. Box 22452, Riyadh 11495, Saudi Arabia, Email: fazmi@ksu.edu.sa) : On a subclass of meromorphic close to convex functions of complex order. Far East J mathl Sci 2008, 29(2), 369-77.

Authors introduced a new class of meromorphic functions of complex order in the punctured disk, which generalizes the concept of close to convexity. Investigates some of its properties and discuss a class of integral operators.

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001989   Aldihan N A;Alamoudi K A (NO, Riyadh Univ for Women, P.O. Box 61410, Riyadh 11757, Saudi Arabia, Email: n_aldihan@hotmail.com) : On univalent function defined by a differential operator. J Analysis Applic 2008, 6(3), 153-60.

Introduced a class of univalent function Rⁿ (λ, α) defined by a new differentiafoperator Dⁿ_λf(z), n ∈ N₀ = {0,1,2,3,}, where D°_λJ (z) = f(z), D¹_λf (z) = (1-λ)f (z) + λzf (z) + λz²(f'(z)) = D_λf (z), λ ≥ 0 and Dⁿ_λf (z) = D_λ (Dⁿ_λ^n-1 f (z)). In-clusion relation, extreme points of Rⁿ (λ,α), some convolution properties of function belonging to Rⁿ (λ, α) and other results are given.

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001988   Al-Kadhi M A (Mathematics Dep, Faculty of Science, Imam Mohammed Bin Saud Islamic Univ, P.O. Box 122037, Riyadh 11721, Saudi Arabia, Email: malki2@yahoo.com) : On (2,3,t)-generations for the janko groups J₁ and J₂. Far East J mathl Sci 2008, 29(2), 379-88.

A group G is said to be (r, s, t) -generated if it is a quotient group of the triangle group T(r, s, t) = (x, y, z|x^r = y^s = z^t = xyz = 1). In Moori [18], the question of finding all possible (r, s, t) -generations for any non-abelian finite simple group was posed. In this article we partially answer this question for the first two Janko groups J₁ and J₂. Computes (2, 3, t) -generations for the first two Janko groups J₁j and J₂, where t is any divisor of | J_i} for i = 1, 2.

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001987   Al-Amri I R (Mathematics Dep, Faculty of Science, Taibah Univ, P.O. Box 30010, Madinah Munawwarah, Saudi Arabia, Email: profibrahim@hotmail.com) : Note on the weak wreath product. Far East J mathl Sci 2008, 29(2), 491-6.

Introduces the notion of "weak wreath product" and obtain certain results.

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001986   Aggarwala B D (Mathematics and Statistics Dep, Calgary Univ, Calgary, Alberta, Canada, Email: aggarwal@ucalgary.ca ) : On WHO and AIDS deaths in India. Far East J mathl Sci 2008, 29(2), 341-52.

Discuss the number of AIDS deaths in India in recent years and show that they should be considerably less than the ones estimated by World Health Organisation (WHO).

001985   Abdel-All N H;Mofarreh F Y (Mathematics Dep, Faculty of Science, Assiut Univ, Assiut, Egypt, Email: nhabdeal2002@yahoo.com) : Geometry of equiform motions. Far East J mathl Sci 2008, 29(2), 431-8.

This paper is concerned to the geometry of configuration space of a generalized type of similarity motions (equiform kinematics). For carrying out this investigation, used the tools of vector calculus to perform the computations. Finally, qualitative study on the singularities of the motion is given through some of the applications which are plotted and interpreted geometrically.

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001072   Zhu R;Zhang H (Mathematics Dep, Jiangsu Univ, Zhenjiang, Jiangsu 212013, P.R. China, Email: zrp0511@ujs.edu.cn) : Complex dynamics in a delay predator-prey model with selective recruitment and mixed functional response. Far East J mathl Sci 2008, 29(1), 35-52.

Authors studied study a predator-prey model with selective recruitment which incorporates a delay term and mixed functional response. The local stability of the trivial equilibria is analyzed and it is found out that the set of such equilibria consists of a unstable node and two saddle points. It is also noted that the positive equilibrium is locally asymptotically stable when time delay is suitable small, while a loss of stability by a Hopf bifurcation can occur as time delay increase. Some sufficient conditions which guarantee the uniform persistence of the model and the global stability of the positive equilibrium are also given. In this respect, it is seen that the delay has no effect upon the persistence of the model. Finally, a numerical simulation is provided and some concluding remarks are given.

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001071   Zhao Y P;Liu X L (Mathematics Dep, Qinghai Univ for Nationalities Xining, Qinghai 810007, P.R. China, Email: doclanliu2002@yahoo.com.cn) : Oscillation of nonlinear higher-order neutral delay difference equation. Far East J mathl Sci 2008, 29(1), 13-19.

In this paper author considered the neutral delay difference equation Δ^m(x_n + p_nx_n-k) + f(n, x_n-1) = 0, where f(n, u) is nondecreasing in u, and k and l are positive integers. Establish/some sufficient conditions for the oscillations of all solutions of this equation, and obtain the result for monotone solutions.

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001070   Zhang S L;Chen C P (Basic Courses Dep, Jiaozuo Univ, Jiaozuo Henan 454003, China) : Generalization of Alzer's inequality. J Analysis Computn 2008, 4(2), 213-21.

Proves that if {a_i}^∞_i=1 is an increasing positive sequence satisfying a^{2_i+1 ≥ a_ia_i+2, i = 1,2, ... and (a_i+2/a_i+1)i+1 ≥ (a_i+1/a_i)i, i = 1,2, .... Then for any natural numbers n and m, a_n/a_n+m ≤ {1/n <82>n_i=1 ar_i/1/n+m <82>_i=1n+m ar_i)1/r where r is a positive real number. The sign of equality holds if and only if all the a_i(1 ≤ i ≤ n + m) are equal. The lower bound is the best possible. Our result generalizes the Alzer's inequality.}

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001069   Yoshihara H (Mathematics Dep, Faculty of Science, Niigata Univ, Niigata 950-2181, Japan, Email: yosihara@math.sc.niigata-u.ac.jp) : Errata to "galois points for plane rational curves". Far East J mathl Sci 2008, 29(1), 209-12.

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001068   Yageen Thomas P;Samuel P (Statistics Dep, Kerala Univ, Trivandrum) : Adjusted non-linear unbiased estimation of the location parameter of a symmetric distribution. Calcutta Statist Ass Bull 2008, 60(237-8), 99-110.

Considers a location family of distributions which are symmetric about the location parameter μ, and propose a nonlinear function of order statistics as an estimator of μ. It call this estimator as the adjusted non-linear unbiased estimator of μ. For the U-shaped distribution with location parameter μ, we have illustrated that our estimator is a competitor of ft, the best linear unbiased estimator of μ based on order statistics. We have also identified the region of the parameter space in which the proposed estimator is more efficient than μ.

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001067   Xue Y;Shan H (Mathematics Dep, North Univ of China, Taiyuan, Shanxi 030051, P. R. China, Email: xyk5152@163.com) : Threshold of survival for 3-D food web system under pulse input of toxin in a polluted environment. Far East J mathl Sci 2008, 29(1), 127-44.

Considers the model of 3-dimensional food web system under pulse input of toxin in a polluted environment. Researches on the dynamical behavior of the model enable to obtain the key factors as well as the threshold for determining the existence and extinguishment of each population by using integral inequality and the mean of integral functions. Researches also enable us to obtain and prove in theory, the threshold conditions for each population to continue to live. All the conclusions have been verified through computer simulation. Founds there exists a unique positive τ-periodic solution in system model, which is globally asymptotically stable.

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001066   Xiao Y (Mathematics Dep, Zhanjing Normal Univ, Zhanjiang, 524048, P. R. China) : New soliton-like solutions to the two-dimensional variable coefficient burgers equation. Far East J mathl Sci 2008, 29(1), 171-6.

The extended projective Riccati equations method is proposed and then the two-dimensional variable coefficient Burgers equation is chosen to illustrate the method. As a result, two families of exact soliton-like solutions for this equation are obtained.

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001065   Williams K S (Centre for Research in Algebra and Number Theory, School of Mathematic, Carleton Univ, Ottawa, Ontario, Canada K1S5B6, Email: kwilliam@connect.carleton.ca ) : On liouville's twelve squares theorem. Far East J mathl Sci 2008, 29(1), 239-42.

A simple proof is given of a formula for the number of representations of a positive integer as the sum of twelve squares.

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001064   Vernold Vivin J;Venkatachalam M;Akbar Ali M M (Mathematics Dep, Sri Shakthi Institute of Engineering and Technology, Coimbatore-641 062, Email: vernold_vivin@yahoo.com) : Achromatic coloring on double star graph families. Int J mathl Combinatorics 2009, 3, 71-81.

The purpose of this article is to find the achromatic: number, i.e., Smarandachely achromatic 1-coloring for the central graph, middle graph, total graph and line graph of double star graph K_1,n,n denoted by C(K_1,n,n), M(K_1,n,n), T(K_1,n,n) and L(K_1,n,n) respectively.

001063   Vasuki R;Nagarajan A (Mathematics Dep, Dr.Sivanthi Aditanar College of Engineering, Tiruchendur-628 215, Email: vasukisehar@yahoo.co.in) : Some results on super mean graphs. Int J mathl Combinatorics 2009, 3, 82-96.

Let G be a graph and f : V(G) → {i, 2, 3, ..., p + q} be an injection. For each edge e = uv and an integer m ≥ 2, the induced Smarandachely edge m-labeling fs- is defined by fs(c) = [f(u) + f(v)/m]. then f is called a smarandachely super in mean labeling if f(V(G)) ∪ {f*(e): e ∈ E(G)} = {1,2,3, ..., p + q}. Particularly, in the case of m = 2 to know that f*(e) = {f(u) +f(v)/2 if f(u) + f(v) is even, and f*(e) = f(u) + f(v) + 1/2 if f(8) + f(v) is odd. Such a labeling is usually called a super mean labeling, A graph that, admits a Smarandachely super mean m-labeling is called Smarandachely super m-mean graph. In this paper, wo prove that the H-graph, carona of a H-graph, G © S₂ where G is a H-graph, the cycle C_2n for n ≥ 3, caroiia of the cycle C_n for n ≥ 3, mC_n-snake for m ≥ 1,n ≥ 3 and n ≠ 4, the dragon P_n(C_m) for m ≥ 3 and m ≠ 4 and C_m X P_n for m = 3. 5 are super menu graphs, i.e.. Smarandachely super 2-mean graphs.

001062   Vaidya S K;Kaneria V J;Kyada V H (Mathematics Dep, Surashtra Univ, Rajkot-360 005) : Anisotropic analogue of schwarzschild interior solution. Prajna 2007, 16, 80-9.

Presents an anisotropic version of Schwarzschild interior solution. The solution is matched with the Schwarzschild exterior solution at the boundary. The solution is interpreted as an exact relativistic model for a compact anisotropic star. The numerical estimates of various parameters are given and the physical features of the solution are briefly discussed.

001061   Thandapani E;Arul R;Gunasekaran S (RIAS in Mathematics, Madras Univ, Chennai-600 005) : Asymptotic and oscillatory properties of neutral type difference systems. Far East J mathl Sci 2008, 29(1), 113-26.

In this paper the authors study the asymptotic and oscillatory behavior of neutval type difference systems. The necessary conditions for asymptotic and oscillatory properties of the system are discussed via fixed point theorem. Examples are provided to illustrate the results.

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001060   Subramanian N;Murugesan C (Mathematics Dep, Sastra Univ, Tanjore-613 402, Email: nsmaths@yahoo.com) : Double orlicz sequence spaces Γ<. Far East J mathl Sci 2008, 29(1), 21-34.

In this paper authors introduced and examine some properties of the double Orlicz sequence spaces Γ²_M (p) and Λ²_M(p).

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001059   Sreenivasa G T;Venkatesha;Bagewadi C S; Naganagoud K (Mathematics and Computer Science Dep, Kuvempu Univ, Shankaraghatta, Shimaga, Karnataka, Email: sreenivasgt@gmail.com) : On Lorentzian α-sasakian manifolds. J Analysis Computn 2008, 4(2), 147-53.

In this paper we study (i) Lorentzian a-Sasakian manifold, (ii) Lorentzian α-Sasakian manifold with η-parallel Ricci tensor. It is shown that in the first case the manifold is η-Einstein and in second case the manifold is of constant scalar curvature. Futher it is proved that a Ricci-generalized pseudo-symmetric Lorentzian α-Sasakian manifold is either a space of constant curvature α² or an η-Einstein manifold.

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001058   Soylu G (Mathematics Dep, Akdeniz Univ, Antalya, 07058, Turkey, Email: gsoylu@akdeniz.edu.tr) : Fuzzy absolute value. J Analysis Computn 2008, 4(2), 173-84.

In this paper author introduced the concept of fuzzy absolute values and given their similarity based constructions. Starting point is applying fuzzy logic on the classical construction of an absolute value on an ordered field. Furthermore author propose a many-valued definition of the triangular inequality of absolute value and investigate the existence of fuzzy absolute value functions which hold this fuzzy triangular inequality.

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001057   Sharma R K;Raich V;Jain A (NO, Govt. Holkar Science College, Indore-452 001) : Common fixed points via compatible maps in generalized fuzzy metric spaces. Ind Res Commun 2009, 3(1), 85-90.

The concepts of S-weak commutativity and S-compatibility are introduced for self-maps of a S-fuzzy metric spaces. Then under suitable conditions of contarctive type, the existence and uniqueness of a common fixed point for such self-maps is proved.

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001056   Sharada B;Soner Nandappa D (DOS in Mathematics, Mysore Univ, Manasagangothri, Mysore, Email: sharada_b21@rediffmail.com) : Characterization of trees whose domination subdivision number is one. J Analysis Computn 2008, 4(2), 95-9.

The domination subdivision number of a simple graph G is the minimum number of edges that must be subdivided (where each edge in G can be subdivided at most once) in order to increase the domination number. Arumugam has shown that for a tree, the domination subdivision number always lies between one and three inclusive. In this paper, we provide a constructive characterization of trees whose domination subdivision number is exactly one.

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001055   Saxena D;Sharma V K;Prakash M M;Saxena A (Indian Institute of Public Health, Gandhinagar, Gujarat, Email: ddeepak72@yahoo.com) : Introduction to epidemiological study designs (RMEB-1). Ind Res Commun 2009, 3(1), 6-8.

Series: Research Methodology & Essential of Biostatics Epidemiological study deigns and statistical methods have gained importance in biomedical and health research because of their contribution in providing inferences and valid conclusions. However many young researchers and our readers do not feel very comfortable and compatible with these methods because the entire teaching methodology in our curriculum is theoretical and research methodology is never included as a part of routine training. In order to help our readers understand the basics of research methodology and statistical methods, we are starting a series of articles under heading Research Methodology & Essentials of Biostatistics. The articles that will be published hence forward will not require any prior know ledge of research or basic statistics and will try to help readers understand the subject. Subsequent articles of the series are built up on the material already presented in the previous articles. We sincerely hope that our readers and young researchers will find these series very useful for their developing their research skills.

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001054   Rajan M A;Girish Chandra M;Reddy L C;Hiremath P S (Computer Science Dep, Dravidian Univ, Kuppam, Email: rajan.ma@tcs.com) : New cross layer design based on connectivity index for wireless AD-HOC networks. J Analysis Computn 2008, 4(2), 197-211.

In wireless Ad-Hoc networks, the study of fundamental issues: connectivity, topology, network partition and cross layer design are always relevant and important. These issues are interlinked and affect the performance of the network. This paper is an excerpt of the research work carried out by us to study, these issues by applying Connectivity Index (CI) through mathematical analysis and simulation.

7 illus, 60 ref

001053   Raich V V;Sharma R K;Jain S (NO, Govt. Autonomous Holkar Science College, Indore, Madhya Pradesh, Email: ranjupatki@rediffmail.com) : Fuzzy modelling approch for predicting diarrhea stage. Ind Res Commun 2009, 3(1), 76-84.

In India and many others under developing country the diseases of digestive track like peptic ulcer, diarrhea, gastritis and colitis ulcer, are commonly found particularly in rural area. There are so many factors affecting the severity of the disease of digestive track. There is no any work on the diarrhea control using fuzzy set theory. The model used in developed countries cannot apply to solve the similar problem. They have required some basic change to suit the condition prevailing in country. In this paper developd a model, which can help to predict the stage of diarrhea MILD, IVIODERAT OR SEVERE through fuzzy modeling to enable the physicians as well as administrator of to have a better analytic understanding of present diagnostic process of diarrhea.

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001052   Oz E;Guney I (Computer Technology and Programming Dep, Yildiz Technical Univ, Maslak/Istanbul/Turkey) : Stochastic differential equation simulation of population growth rate. J Analysis Computn 2008, 4(2), 155-63.

In this study the census data performed in Turkey between the years 1927-2007 are used. For the years that do not have the census, the population growth are estimated. By using the estimated data, the population growth rates are obtained by Stochastic Differential Equation Simulation. In Stochastic Differential Equation solving ho analysis is used. In estimating and equation solving Maple 9 program is used. The real population growth rate and the growth rates obtained by simulation and the estimated population growth and real population growth are compared. In both comparison X²- test is applied. The estimation for the next ten years is made with the help of the data obtained.

6 illus, 3 tables, 8 ref

001051   Nagarajan K;Nagarajan A;Sahul Hamid I (Mathematics Dep, Sri S.R.N.M. College, Sattur-626 203, Email: k_nagarajan_srnmc@yahoo.co.in) : 1-Equidomination cover of a graph. Scienta Magna 0000, 5(2), 54-9.

A set. D ⊆ V of vertices in a graph G is a dominating set if overy vertex τ in V - D is adjacent to a vertex in D. The ininhinini cardinality oi a dominating sci of G is called the domination number of G and is denoted by γ(G). A dcc.oinpusil ion of a graph G is a eolleetion ψ of edge disjoint subgraphs G₁. G₂ .... G_n of G such thai every edge exactly one. G_i If γ(G_i) = 1 for each i. then ψ is called a.n 1-equidomination cover G. The minimum cardinality of an 1-equidomination cover of G is called the 1-equidominat covering number of a graph G and is denoted by γ_e⁽¹⁾ (G). Initiates a study on this parameter.

001050   Modoodi M N;Belagali S L;Ebrahimi P (Studies in Environmental Science Dep, Mysore Univ, Mysore, Karnataka) : Pesticide residues in agricultural soil systems of Mysore district. J Analysis Computn 2008, 4(2), 111-19.

The likely presence oforganochlorine and organophosphorous pesticide residues on eighty soil samples collected from agricultural farmlands of Mysore district have been found out by Gas Chromato graphic (GC) method consisting of Electron Capture Detector (BCD) for organochlorine pesticides (OCPs) and Flame Photometric Detector (FPD) for organophosphorous pesticides (OPPs). The organochlorine pesticide residues were detected in 93 % of the soil samples which include aldrin, a-HCH, b-HCH, g-HCH, dieldrin, endrin, heptachlor, endosulfan I, p,p'-DDT, p,p'-DDE, p,p'-DDD, o,p-DDT. The highest and lowest mean concentration values of pesticide residues were found in Mysore and periyapatna taluks respectively. The most common pesticide residues were p,p'-DDE and endosulfan I. Organophosphorous and atrazine pesticide residues were not found in any of the samples. The pesticide residue concentrations, Physico-Chemical characteristics and heavy metal contents of almost all the soil samples were well within the permissible limits. No significant correlations were found among the averages of pesticide residues, Physico-Chemical characteristics and heavy metal concentrations of the soil samples.

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001049   Modi H B (Mathematics Dep, Bhavnagar Univ, Bhavnagar-364 002, Email: hbm_bhav_uni@yahoo.com) : Estimation of D₃(x). Prajna 2006, 14, 94-8.

Let d₃(n) denote the number of representation of n in the form n = α₁ x α₂ x α₃, where α₁ 's are positive integers. studies the asymptotic formula of D₃ (x) = <82> d₃ (x).

001048   Maragatham R S (Mathematics Dep, Queen Mary's College, Chennai-4, Email: r_stellae@yahoo.co.in) : Signed domination in relative character graphs. Scienta Magna 2009, 5(2), 22-29.

Deals with the author's initiation of signed domination functions in Relative character Graphs (RC-graphs). Given any finite group G and a subgroup H. one can construct a finite, simple, undirected graph Γ(G,H). We introduce, two canonical Innct.ions f and f* from the vertex set V = IrrG into the set {-1,1} satisfying the neighborhood condition. Then f or f* is called a signed domination function. Those RC-graphs for which f or f* is a domination function is called an RC-signcd dominated graph. Proves that, all abelian groups (and subgroups), groups giving rise to K_n, the Probcnius groups with certain special properties are RC-signod dominated. Also studies those RC-graphs Γ for which a comparison can IK; made, between a minimum dominating RC-graph number γR(Γ) and the signed domination number γs(Γ) (In some cases these number coincide). Finally certain bounds for are γ(Γ(G, H)) + γR (Γ(G,H)) obtained in line with similar resnlts for arbitrary graphs obtained by Haas and Wexler.

001047   Maiti P (Economics Research Unit, Indian Statistical Institute, Kolkata) : Stochastic modeling of buying behaviour of Indian customers. Calcutta Statist Ass Bull 2008, 60(237-8), 111-21.

A collaborative research on a problem of common interest and of immediate concern, which Hindustan Lever Limited (HLL) - a multinational company was facing or likely to face in the near future, was undertaken at the Indian Statistical Institute (ISI), Kolkata. The problem was to explain the purchase behaviour of frequently bought branded consumer products using stochastic models. For this, the panel data, after being coded to ensure anonymities were supplied to the ISI and on the basis of the available data, modeling of the buying behaviour was made. To begin with, some descriptive measures were calculated to understand the data and, finally, 'Dirichlet' multinomial model was used for explaining the buying behaviour of the customers in the specific segment with respect to the specific group of commodities. Because of not-so-wide coverage of the data and not-well-validated assumptions on the underlying distributions, the results failed to reveal much of the consumer behaviour pattern.

001046   Kori M L;Sharma C S;Gaur K;Jaiswal A;Patel J R;Nema R K;Dixit V K (NO, R.N.S. College of Pharmacy, GORMI, Email: shekhar_gurava@yahoo.co.in) : Synthesis, characterization and ulcerogenic-analgesic profile of some amino acid-diclofenac conjugates. Int J chem Sci 2008, 6(3), 1622-9.

Various arnino acid conjugates of diclofenac were synthesized by reacting amino acid methyl esters with the carboxylic acid moiety of diclofenac using N, N'-dicyclohexylcarbodiimide as a coupling agent. The synthesized compounds were characterized by physico-chemical and spectral studies like IR and ¹H NMR. The compounds synthesized were screened for analgesic and ulcerogenic activity by Acetic acid induced method and pyloric.ligation induced ulceration method, respectively. All the compounds exhibited significant analgesic activity as compared to diclofenac sodium with less ulcerogenic activity.

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