015052   Sitrarasu M R;Bhuvaneshwari K;Urmila B (Mathematics Dep, Kongunadu Arts and Science College, Coimbatore, Tamilnadu) : M/M<. Opsearch 2007, 44(1), 73-99.

M/M^ab/C interdependent queueing model with controllable arrival rates is intvoduced. The steady state solutions and the system characteristics are derived ana analysed for this model. It is observed that the mean dependence rate between the arrival and service processes can reduce the congestion in queues and delays in transmission. This is the most general model which includes most of the earlier models as particular cases for specific or limiting values of the parameters. The tabulation values help to control the queue length with the suitable selection of the parameters. The graphical figures help us to select the optimal values of the parameters to control the queue length. As an illustration, if the faster arrival rates are increasing, then the service rate should also be increased so that the queue length is empty.

2 tables, 7 ref

015051   Singh S;Chauhan A (Mathematics Dep, Bareilly College, Bareilly-243 005) : A study on hypersurfaces of a riemannian manifolds with special cases. Acta Cienc Indica-Math 2007, 33(4), 1593-1604.

In this paper, hyper surfaces immersed in an almost product Riemannian manifold. have been studied. Case where the hyper surfaces admits an almost paracontact Riemannian structure has been studied. Further, consider two hyper surfaces M_{l and M2 of M^- and obtained the condition for the two hyper surfaces to be tangent along a differentiable curve and recollect definitions and properties of invariant submanifolds of an almost r-para contact Riemannian sub manifold of P-Sasakian type with a structure ∑(φ,ξ<97>, χ^αg) and deal with the case when ξα are normal to the submanifold. Also studied invariant, isometric, conformal and structure preserving infinitesimal variations of invariant submanifolds.}

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015050   Singh K N;Singh P K (Mathematics Dep, S.G.R.P.G. Coll, Dobhi, Jaunpur-222 149) : On matrix-cesaro summability of fourier coefficients. Acta Cienc Indica-Math 2007, 33(4), 1545-50.

In this paper, a new theorem on matrix-summability of fourier coefficients has been established.

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015049   Singh K N;Singh P K (Mathematics Dep, S.G.R.P.G. Coll, Dobhi, Jaunpur-222 149) : On the degree of approximation of function belonging to the class lip (α, p). Acta Cienc Indica-Math 2007, 33(4), 1385-9.

In this paper, a new theorem on the degree of approximation of function belonging to the class Lip (α, p) has been established.

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015048   Singh K N;Singh D K (Mathematics Dep, S.G.R. Post Graduate Coll, Dobhi, Jaunpur-222 149) : On (N, <. Acta Cienc Indica-Math 2007, 33(4), 1721-8.

In this paper a theorem on (N, P_n^{α) Summability of a Fourier series and its Conjuate series has been established.}

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015047   Shukla A K;Prajapati J C (Mathematics Dep, S.V. National Institute of Technology, Surat-395 007) : Some integral transforms of general class of polynomials. Acta Cienc Indica-Math 2007, 33(4), 1779-83.

The integral transforms have many mathematical and physical applications; their uses are still predominant in advanced study and research. In present paper, author obtained several integral transforms viz. Fourier transform, Hankel transform, Hermite transform, Jacobi transform, Lagendre transform and Gegenbour transform of a general class of polynomials {A_qa(^{α, β, γ, δ}) (x, a, l, s)/n=0, 1, 2,..} with their particular cases.

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015046   Sharma V K (Mathematics Dep, D.N.P.G. Coll, Gulaothi (Distt. Bulandshahr)-245 408) : g-separation axioms. Acta Cienc Indica-Math 2007, 33(4), 1271-6.

Levine introduced the notion of generalized closed (abbreviated as g-closed) sets in 1970. The complement of a g-closed set is called g-open. The purpose of the present work is to define and study new separation axioms using g-open sets. Replacing open sets by g-open sets in T₀, T₁ and T₂ axioms, new separation axioms g_o, g₁, g₂. are introduced. The concepts of g-regularity and g-normality due to munshi are generalized to gg-regularity and gg-normality in this paper. Mutual relationships of these axioms and non coincidence with other separation axioms are investigated with the help of various counter examples. New notions of g-closure, δg-closed sets and 9 continuous maps are also defined.

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015045   Shanugam T N;Sivasubramanian S;Kavitha S (Information Technology Dep, Salalah College of Technology Salalah, Sultanate of Oman, Email: drtns2001@yahoo.com) : On the unified class of functions of complex order involving Carlson Shaffer operators. Far East J mathl Sci 2007, 26(3), 749-57.

Unified class of functions of complex order involving Carlson Shaffer operator have been considered. Authors obtain a necessary and sufficient condition for functions to be in these classes.

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015044   Shabir M;Hussain M;Saeed R (Mathematics Dep, Quaid-I-Azam University, Islamabad, Pakistan, Email: mshabirbhatti@yahoo.co.uk) : Fully fuzzy idempotent Γ-nearrings. Int J Math Analysis 2006, 3(1), 19-37.

Introduce the notion of idempotent ideals and than characterize those (right) Γ-nearrings for which each fuzzy ideal is idempotent and the Γ-nearrings all of whose fuzzy ideals are prime. Show that the for a zerosymmetric fully fuzzy idempotent Γ-nearring R the notions of fuzzy prime, fuzzy strongly irreducible and fuzzy irreducible ideals coincide. Later we topologize the space of all proper fuzzy prime ideals of a fully fuzzy idempotent Γ-nearrings.

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015043   Sen S;Chakrabarty T (Department of Applied Mathematics 92, University of Calcutta, A.P.C Road, Kolkata-700 009) : Order level inventory model with variable rate of deterioration and alternating replenishing rates considering shortages. Opsearch 2007, 44(1), 17-26.

In production inventory systems, there are situations in which it is not possible to have single rate of production through out the production period .Items are produced at different rates during sub-periods so as to meet various constraints that arise due to change in demand pattern, market fluctuations etc. Models such a situation by assuming constant rate of demand and varying rates of production . Also, attempts have been made to investigate the model for items that deteriorates according to a special form of Weibull density function for time allowing shortages. In all cycles special cases are discussed . Results are illustrated by numerical examples.

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015042   Sedghi S;Rao K P R;Shobe N (Mathematics Dep, Islamic Azad Univ-Ghaemashahr Branch, Ghaemshahr, P.O. Box 163, Iran, Email: sedghi-gh@yahoo.com) : Common fixed point theorems for six weakly compatible mappings in D*-metric spaces. Indian J Math mathl Sci 2007, 6(2), 225-37.

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015041   Sarma R D (Mathematics Dep, Rajdhani Coll (University of Delhi), Raja Garden, Delhi-110 015, Email: ratna.sarma@yahoo.com) : Characterizations fo some non-continuous functions using net. Indian J Math mathl Sci 2007, 6(2), 239-44.

Several important topological notions such as c-continuity, semi-continuity, sub-continuity, closed graph etc. are characterized using net. It is shown that the notion of limit is not necessary for these characterizations. More general versions of me already existing results are provided using relaxed conditions on convergence of nets.

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015040   Sarka Hoskova (Mathematics and Physics Dep, University of Defence Brno, Kounicova 65, 612 00 Brno, Czech Republic, Email: sarka.hoskova@unob.cz) : Quasi-order J-hypergroups. Int J Math Analysis 2006, 2(1-3), 57-64.

Quasi-order hypergroups were introduced by J. Chvalina in 90s of the last century. They form a subclass of the class of all hypergroups, i.e. structures with one associative hyperoperation fulfilling the reproduction axiom. In this paper a theorem which allows an easy description of all quasiªorder hypergroups is mentioned and some results concerning the relation of quasi-order and upper quasi-order hypergroups are given. Furthennore the transformation hypergroups acting on tolerance spaces are defined and an example of them is given.

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015039   Sao G S;Sharma A (Mathematics Dep, K.G. Arts & Science College, Raigarh) : Meir-keeler type contractive conditions on menger spaces. J expl Zool 2007, 10(1), 1365-6.

015038   Sao G S;Sharma A (Mathematics Dep, K.G. Arts & Science College, Raigarh (C.G.)) : Common fixed point theorem in fuzzy metric space. Acta Cienc Indica-Math 2007, 33(4), 1327-8.

The aim of present paper is to obtain a common fixed-point theorem in fuzzy metric space. Purpose of this study is to generalize the several known results.

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015037   Sanjeev Rajan;Pawar M;Praveen Kumar (Mathematics Dep, Hindu Coll, Moradabad (U.P.)) : Fritz john conditions and constraint qualifications. Acta Cienc Indica-Math 2007, 33(4), 1267-70.

In this paper, author discussed the connection of the Fritz John Conditions with classical constraints qualifications that guarantee the existence of a geometric multiplier.

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015036   Saluja G S (Mathematics & I.T. Dep, Govt College of Science, Raipur, Chhattisgarh, Email: salujo_1963@rediffmail.com) : Fixed point theorems for a certain class of asymptotically regular semigroups in L<. Int J Math Analysis 2006, 3(1), 73-84.

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015035   Sahu S K;Panda G C (P.G. Statistic Dep, Sambalpur Univ, Burla (Orissa)) : An inventory system with ramp type demand rate and shotage. Acta Cienc Indica-Math 2007, 33(4), 1585-92.

Here author describes an EOQ model with three parameter Weibull deterioration and has been developed with a ramp type demand function of time. Here, the rate of replenishment is infinite, shortages are allowed and fully backlogged. The total relevant cost of the system during the time interval obtained by optimum value of time. The model illustrated with numerical example and sensitivity analysis of the model to some system of parameter is presented.

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015034   Sahu N D;Gudadhe A S (NO, Sipn's College of engineering and Technology, Amravati, Email: alka_gudadhe@yahoo.com) : Gelfand Shilov type space for Banach space valued potential transform. Vidarbha J Sci 2008, 3(1), 22-7.

The paper studies different testing function spaces of Gelfand-Shilov type for the Banach space valued generalized Potential transform. The topological properties of these spaces are also discussed. The Analyticity theorem for Banach space valued distributional Potential Transform is also proved.

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015033   Saffar Ardabili J;Mirnia k (Mathematics Dep, Payam-e-Nour Univ, Ardabli Iran, Email: jamal.saffar@gmail.com) : Tetra-parametric optimal partition invariancy sensitivity analysis for general linear optimization. J Computnl Math optimiz 2007, 3(2), 77-98.

In tetra-parametric general linear optimization (GLO), perturbation occurs in both the right band side (RHS) and objective function coefficient (OFC) data that are different nonzero parameters. In his paper, the tetras-parametric GLO problem under consideration, one wants to find the region of the parameters variation where the perturbed problem has still an optimal solution with the same optimal partition for parameters values. In practice the LO problems are in general form including free variables and inequalities in addition to nonnegative variables and equalities. Identifying the regions where optimal partition is invariant for GLO problem, These regions are referred to as invariancy regions. It is proved that invariancy regions are mesh-like area and are separated by vertical and horizontal planes and lines. It is proved that the boundaries of these regions can be identified in polynomial time. Computable LO problems to identify the associated optimal partition regions for GLO problem is presented. The behavior of the optimal value function on these regions is investigated too.

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015032   Rupesh Kumar;Singh K K (Mathematics Dep, Agra Coll, Agra (U.P.)) : Two-dimensional exact periodic solution of a MHD oscillatory flow through porous medium. Acta Cienc Indica-Math 2007, 33(4), 1751-6.

The study of an exact periodic solution of a two-dimensional flow of an electrically conducting viscous, incompressible fluid through porous medium bounded by two parallel infinite porous horizontal plates is presented. The lower plate is stationary and the upper one is oscillating in time about a constant mean. The fluid motion is also subjected to constant injection and suction through the lower and upper plates respectively in the presence of uniform magnetic field applied perpendicular to the plates. The unsteady problem is solved exactly and the transient velocity, the amplitude and the phase of the skin friction at the stationary plate are discussed.

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015031   Ruhinikumar I;Tomba I (Mathematics Dep, Manipur Univ, Canchipur, Imphal-795 003) : Stability analysis on logistic epidemic models. Acta Cienc Indica-Math 2007, 33(4), 1277-85.

The present paper, considers an SIS (Susceptible-Infective-Susceptible) epidemic model of fixed population size P and Logistic equation of epidemic type. From the Logistic equation of epidemic model the effect of Logistic epidemic curve was analysed by finding out the point of inflexion and stability of the endemic equilibrium point. Further, considerable effort has been made to derive stochastic infective population model. Even when the logistic model is made, stochastic considerable complications arise.

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015030   Rawat K S;Dobhal G (Mathematics Dep, , H.N.B. Garhwal Univ Campus, Badshahi Thaul, Tehri Garhwall-249 199) : Einstein-kaehlerian bi-recurrent space. Acta Cienc Indica-Math 2007, 33(4), 1367-70.

In the present paper, Einstein-Kaehlerian bi-recurrent space and its properties were studied by taking different curvature tensors. Also some necessary and sufficient conditions have been derived.

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015029   Rawat K S;Dobhal G (Mathematics Dep, , H.N.B. Garhwal Univ Campus, Badshahithaul, Tehri Garhwal-249 199) : Some theorems on decomposition in a kaehlerian recurrent space. Acta Cienc Indica-Math 2007, 33(4), 1347-50.

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015028   Rawat K S;Dobhal G (Mathematics Dep, , H.N.B. Garhwal Univ Campus, Badshahithaul, Tehri Garhwal-249 199) : Decomposition in a kaehlerian recurrent space. Acta Cienc Indica-Math 2007, 33(4), 1341-5.

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015027   Rakbud J;Wootijiruttikal O;Chaisuriya P (Mathematics of Dep, Fac of Sci, Silapakorn Univ, Nakorn Pathorn-73000, Email: jitrakbud@yahoo.com) : Spaces of sequences over function algebras. J Analysis Applic 2007, 5(3), 184-199.

Dasses of sequences over the C*-algebra C(X) of continuous complex-valued functions on a compact Hausdorff space X, that refer to as l^b_p(C(X)) and l_{p(C(X)) are studies. These are generalizations of the classical sequence spaces lp for 1 if P ≤ p <60> ∞. Our goal is to study the duality and reflexivity of both l^bp(C(X)) and lp(C(X)).}

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015026   Rajavarman V N;Rajagopalan S P (Information Technology Dep, Dr. M.G.R. Univ, Chennai-95) : Genetic algorithms-an overview. Acta Cienc Indica-Math 2007, 33(4), 1615-26.

Genetic algorithm (G.As.) have been used in a wide variety of fields to evolve solutions to problems as difficult as or more difficult than those faced by human designers. Moreover, the solutions they came up with or often more efficient, more elegant or more complex than anything comparable a human designer would produce. In some cases, genetic algorithms have come up with solutions that baffle to programmers who wrote the algorithms in the first place. In this study work different sections are organized in the following manner. Section 1 is introduction; Section 2- describes Genetic algorithm; Sections 3 and 4 deals about their Strengths and limitations; In section 5; two examples of GAs are provided and in final section, has been given conclusion.

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015025   Rajan S;Singh B K;Bhatnagar P (Mathematics Dep, Coll of Engng and Technol, I.F.T.M., Moradabad, U.P) : Study on connectedness of three colour bipartite graphs. Acta Cienc Indica-Math 2007, 33(4), 1317-22.

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015024   Rajan S;Singh B K;Bhatnagar P (Mathematics Dep, Coll of Engineering & Technology, I.F.T.M., Moradabad, U.P) : Stationary conditions for global or local optimality under some mathematical programs with equilibrium constraints. Acta Cienc Indica-Math 2007, 33(4), 1299-1307.

In this paper author considered a mathematical program with equilibrium constraints (MPEC) formulted as a mathematical program with complmentarity constraints. Simple proof to the M-stationary condition are given and it is shown that it is sufficient for global or local optimality under some MPEC generalized convexity assumptions.

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015023   Prasada Rao D R V;Mallikarjuna Reddy A; Reddaiah P (Mathematics Dep, Sri Krishnadevaraya University, Anantapur-515 003) : Effect of periodic suction on M.H.D. Heat transfer flow of a viscous heat generating fluid through a porous medium bounded by a vertical porous plate. Acta Cienc Indica-Math 2007, 33(4), 1529-44.

Author studied the effect of heat generating Viscous fluid past a hot vertical wall with transverse sinusoidal periodic suction velocity distribution Including dissipative effects. The flow is three-dimensional although the dependence of the velocity and the temperature variables along the z-direction (direction of variation of suction) is confined to sinusoidal variation, keeping in view the imposed periodic suction distribution. The velocity and the temperature distributions have been calculated for different variations in the governing parameters. The shear stress and the rate of heat transfer have been evaluated for different variations.

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015022   Polatoglu Y;Yavuz E;Owa S (Mathematics and Computer Science Dep, TC Itanbul Kultur Univ, 34156 Istanbul, Turkey, Email: y.polatoglu@iku.edu.tr) : On λ fractional convex functions. Far East J mathl Sci 2007, 26(3), 665-72.

Let A be the class of analytic functions f(z) in the open unit disc U with f(0) = 0 and f'(0) = 1, Using the fractional calculus D^λ_zf(z) for f(z) ∈ A, a new fractional operator D^λ f(z) is introduced by D^λ f(z) = Γ(2- λ)z^λD^λ_z f(z). Subclass C(λ) of A consisting of functions f(z) is considered and some properties of f(z) in the class C(λ) are discussed.

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015021   Pawar M;Pandey V D;Rajan S (Mathematics Dep, R.V. Institute of Higher Inst of Higher Edu & Technol, Noida (U.P.)) : Error bounds for convex & non convex programs. Acta Cienc Indica-Math 2007, 33(4), 1729-36.

Given a single feasible solution X_F and a single infeasible solution X₁, of a Mathematical program, provide an upper bound to the optimal dual value. It was assumed, that X_F satisfies a weakened form of all Slater condition. Applied the bound to convex programs and discussed its relation to Hoffman Like bounds as a special case. Author also recovered a bound due to Mangasarian on the distance of a point to a Convex set specified by Inequalities.

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015020   Pawar D D;Bayaskar S N;Patil V R;Deshmukh A G (Mathematics Dep, Govt. Vidarbha Institite of Science and Humanities, Amarvati-444 404) : Plane symmetric string cosmological model in modified theory of general relativity. Vidarbha J Sci 2008, 3(1), 35-9.

A plane symmetric space time in the presence of cosmic string in modified theory of Einstein theory of general relativity by assuming the condition 3λ' + 5p = 0 . Some properties of the model are also discussed.

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015019   Pashazadeh J;Movsisyan Y U (NO, Islamic Azad univ, Branch Bonab, Iran, Email: jm_pashazadeh@yahoo.com) : On the representation of Boolean algebras. Far East J mathl Sci 2007, 26(3), 789-94.

Representation theorem for various algebras, similar to the Stone and Cayley theorems, has been proved in [1-4, 8]. Some results for representation of Boolean algebras by matrices and, binary and ternary functions are proved.

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015018   Pandey S N;Sinha J (Mathematics Dep, K.N. Govt. PG Coll, Gyanpur, Sant Ravidas Nagar (Bhadohi), U.P) : On quarter symmetric non-metric, metric and Φ-connections in LP-sasakian manifold. Acta Cienc Indica-Math 2007, 33(4), 1557-68.

Recently Jaiswal, Ojha and Prasad [1] have studied a semi-symmetric non-metric Φ-connection in Lorentzian Para-Sasakian manifold. We shall in this paper, study a quarter symmetric non-metric Φ-connection, a quarter symmetric metric connection in LP-Sasakian manifold.

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015017   Pandey S N; (Mathematics Dep, K.N. Govt. P G Coll, Gyanpur, Sant Ravidas Nagar (Bhudohi), U.P) : On hyperbolic sasakian manifold admiting a semi-symmetric connection. Acta Cienc Indica-Math 2007, 33(4), 1551-5.

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015016   Ouagnina Hili (NO, , BP 1911, Yamoussoukro, Cote d'Ivoire, (Ivory Coast), Email: o_hili@yahoo.fr) : Estimation of a multiple-threshold AR(p) model. Int J Math Analysis 2006, 2(1-3), 43-56.

Deals with the multiple-threshold p-order autoregressive model which has been introduced by Tong and Lim (1980) in non-linear system modelling. Under some conditions on the coeffiecients of the model which ensure the stationarity, the existence of moments and the strong mixing property of this process and under other mild assumptions, we establish the asymptotic properties (consistency and asymptotic normality) of the minimum Hellinger distance estimates of the autoregressive coefficients of the model.

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015015   Navalagi G;Lellis Thivagar M;Raja Rajeswari R;Margaret nirmala M (Mathematics Dep, K.L.E. Society's G.H. Coll, Haveri-581 110, Email: gnavalagi@hotmail.com) : Note on weakly-γ-functions. Int J mathl Sci 2007, 6(2), 127-38.

Two classes of functions called weakly-γ open and weakly-γ-closed by using the notions of γ-open and γ-closed sets of Andrijevic [1] have been introduced and also study the relationships between these functions and other existing topological functions.

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015014   Natarajan R;Vimala J (Mathematics Dep, Alagappa Univ, Karaikudi-630 003 (T.N.)) : Distributive convex l-subgroup. Acta Cienc Indica-Math 2007, 33(4), 1765-78.

The concept of a generalization of distributive ideal to convex sublattice is called distributive convex sublattice has been introduced and studied by Natarajan, R. In this paper a generalization of distributive l -ideal for convex l -subgroup is called distributive convex l -subgroup is introduced. Many important properties of distributive l- ideal which are valid for distributive convex l -subgroup are established. It's relation with congruence class are also established.

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015013   Natarajan P;Thiagarajan K;Nanditta S (Res & Develop, Rajalakshmi Engng Coll, Thandalam, Chennai (T.N.)) : 0-1 Labelling for network characterization. Acta Cienc Indica-Math 2007, 33(4), 1397-1402.

In this paper author presented 0 - 1 labelling approach on fixing servers (finite number of servers), on a triangular grid in network characterization the method 0 - 1 labelling helps access the given network design under sets of constraints.

015012   Narain S;Narinder Kaur (Mathematics Dep, Harishchandra (P.G.) Coll, Varanasi-221 001) : Magneto-strictive torsional deformation of a non-homogeneous visco-elastic cylinder. Acta Cienc Indica-Math 2007, 33(4), 1693-1702.

This paper investigates magneto-strictive torsional deformation of a non-homogeneous visco-elastic cylinder made-up of perfectly conducting visco-elastic material representing a parallel union of Kelvin and Maxwell bodies under the action of magnetic field. The non-homogeneity of the cylinder is taken due to the variable. Shear modulus μ which has been assumed to vary as μ = μ_oe^kz, where μ_o and k are constants. Calculated the velocity of the torsional wave thus produced. Effect of this variation on the wave so generated numerically has been shown.

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015011   Nandini S;Arockiarani I (Mathematics Dep, Sree Narayana Guru Coll, K.G.Chavadi, Coimbatore-641 105) : Pr-closed sets in topological spaces. Acta Cienc Indica-Math 2007, 33(4), 1499-1506.

The aim of this paper is to introduce and study pr-closed sets a new weaker form of preclosed sets. Basic characterizations and several properties concerning them are obtained. Further, the notion of pr-continuous maps and pr-irresolute maps is defined. Also pasting lemma for pr-continuous maps is generalized.

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015010   Muthucumaraswamy R;Vijayalakshmi A (Information Technology Dep, Sri Venkateswara College of Engineering, Sriperumbudur-602 105, Email: msamy@svce.ac.in) : Radiation and chemical reaction on moving vertical plate with variable temperatue and uniform mass diffusion. Int J Math Analysis 2006, 3(1), 63-71.

Theoretical study of thermal radiation on unsteady free convective flow over a moving vertical plate with mass transfer in the presence of homogeneous chemical reaction of first order. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The temperature is raised linearly with time and concentration level near the plate is raised uniformly. The dimensionless governing equations are solved using the Laplace transform technique. It is observed that the velocity increases with decreasing radiation parameter or chemical reaction parameter.

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015009   Murali V (Mathematics (Pure & Appled) Dep, Rhodes Univ, Grahamstown 6140, South Africa) : Equivalent finite dimensional fuzzy subspaces. Acta Cienc Indica-Math 2007, 33(4), 1291-8.

An equivalence relation, based on the finite membership values, on the set of all fuzzy subsets of a set was considered in various contexts recently. This paper looks at fuzzy subspaces of finite dimensional vector spaces coordinatized by an ordered basis under such an equivalence relation. Equivalence classes of coordinate fuzzy subspaces are proved to be in correspondence with integer partitions of the number representing the dimension of vector space together with certain permutations of the basis vectors.

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015008   Motsumi T;Daman O (Mathematics Dep, University of Botswana, Botswana) : Similarity solution simplification and spatial stability analysis of a viscous incompressible flow in an infinite channel with porous walls. Acta Cienc Indica-Math 2007, 33(4), 1309-16.

With the help of Berman's similarity solution, the steady state Navier-Stokes equations are reduced to an ordinary differential equation which is dependent on the the Reynolds number R. A small disturbance in normal mode form, superimposed on the basic flow, which is then monitored spatially far downstream, gives rise to an eigenvalue problem with eigenvalues denoted by λ. Employing the linear shooting method, to numerically integrate the eigenvalue problem together with the basic flow equation, conditions for stability of flow are established. The evolution of the instability that develops is investigated analyticaliy and an expression for the linear growth of the disturbance.

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015007   Meshram D K;Khobragade N W (Post Graduate Teaching Mathematics Dep, RTM Nagpur Univ, MJP Edu Campus, Nagpur-440 033) : Inverse transient thermoelastic problem of an isotropic circular annular fin. Acta Cienc Indica-Math 2007, 33(4), 1471-80.

This paper is concerned with an inverse thermoelastic problem in which we need to find out the unknown temperature, displacement, stress function and thermal stresses on the outer curved surface of a thin annular fin when the interior heat flux is known. Finite classical Marchi-Zgrablich transform and Laplace transform techniques have been utilized to obtain the solution for the problem. The results are obtained in the form of MarchiªZgrablich series.

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015006   Meshram D K;Khobragade N W (Post Graduate Techning Mathematics Dep, RTM Nagpur Univ, MJP Educational Campus, Nagpur-440 033) : Thermal deflection of a three dimensional clamped rectangular plate. Acta Cienc Indica-Math 2007, 33(4), 1463-70.

This paper is concerned with an inverse transient thermoelastic problem in which we need to determine the unknown temperature gradient, temperature distribution and thermal deflection on upper plane surface of a three dimensional clamped rectangular plate when the interior heat flux is known. The integral transform techniques are used to find the solution and illustrated graphically.

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015005   Merad D;Aissani D (Faculte de Mathematiques USTHB, BP 32 El Alia Bab Ezzouar, Algeria, Email: merad_djenat@yahoo.fr) : Classical renewal theorem and point processes. Far East J mathl Sci 2007, 26(3), 759-68.

Aim of this paper is to show that the classical renewal theorem in the nonlattice case is a consequence of a convergence in distribution on the measurable space of positive Radon measures equipped with the topology of vague convergence.

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015004   Mehta M (Mathematics Dep, Satyawati College Univ Delhi, Ashok Vihar, Phase-III, Delhi-110 052) : Existence of solution for a generalised variational like inequality problem in terms of bifunctions. Opsearch 2007, 44(1), 41-50.

Variational like inequality problem expressed in terms of a bifunction and establish existence theorems for the problem. Also relates this generalized variational like inequality problem with mathematical programming problems.

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015003   Meghwal R C (Mathematics Dep, Govt. P.G. College, Neemuch (M.P.)) : Multiresolution analysis and wavelets. Acta Cienc Indica-Math 2007, 33(4), 1377-84.

The aim of this paper is to established the relation between mother wavelet and te father wavelet as a signal decomposition.

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