017418   Ohnuki Y;Watanabe S (Physics Dep, Nogoya Univ, Nagoya 464-8602, Japan, Email: ohnuki2y8@ybb.ne.jp) : The dilatation operator in quantum mechanics and its applications. Far East J mathl Sci 2004, 15(3), 353-67.

Let D be the operator in L²(R): D = -i(x d/dx + 1/2), x ∈ R. The operator D appears in quantum mechanics and is called the dilatation operator. Its selfadjointness is examined first. Then it has been shown that a Mellin transform gives rise to the transformation of the operator D into the multiplication by y ⊕ y (y ∈ R). Here the multiplication y ⊕ y is an operator in L²(R) ⊕ L²(R), and the Mellin transform provides a unitary operator from L²(R) onto L²(R) ⊕ L²(R). These results have been applied to quantum mechanics, and also to the initial boundary value problems for some partial differential equations to write down the explicit forms of the solutions.

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017417   Mizuno H;Sato I (IOND Univ Japan, , 2-35-15, Kouenjiminami, Suginami, Tokyo 166-0003, Japan) : Weighted zeta functions of regular coverings of graphs. Far East J mathl Sci 2004, 15(3), 273-82.

A new determinant expression of the weighted zeta function of a regular covering of a graph has been given.

17 ref

017416   Lee E P;Park S W;Kim K R (Math Dep, Seonam Univ, , Email: eplee@seonam.ac.k) : Maximal intuitionistic fuzzy filters. Far East J mathl Sci 2004, 15(3), 293-306.

Notions of intuitionistic fuzzy filters and maximal intuitionistic fuzzy filters have been introduced and some of their characteristic properties have been investigated.

13 ref

017415   Feng B Q ;Osikiewicz B ;Osikiewicz J A (Mathematical Science Dep, Kent State Univ, Tuscarawas Campus, 330 Univ Dr NE, New Philadelphia, OH 44663, U.S.A, Email: bfeng@tusc.kent.edu) : Geometric means and tensor products. Far East J mathl Sci 2004, 15(3), 381-91.

A variety of new ineualities involving the tensor product and the geometric mean of positive definite matrices have been discovered. This work builds on a generalization of an inequality of Ando by Feng and Tonge.

4 ref

017414   Cho M H;Kim J H (Div of Mathematics and Informaction Statistics, Wonkwang Univ, Iksan 570-749, Korea, Email: mhcho@wonkwang.ac.kar) : More on sequential convergences. Far East J mathl Sci 2004, 15(3), 333-8.

Open and closed mappings by various types of sequential convergence induced by mappings have been characterized.

5 ref

017413   Berboucha A;Moulay M S (Laboratories de Mathematiques Appliquees, Univ de Bejaia, Algerie) : Existence of orbitally stable periodic solutions for a delay differential equation. Far East J mathl Sci 2004, 15(3), 307-17.

In order to prove the existence of orbitally stable periodic solution of the equation x(t) = -βx(t) + f(x(t-1)) the reduction method due to R.A.Smith have been applied after giving a brief presentation of the latter.

16 ref

017412   Banerjee A K;Perumal P (Pharmaceutical Technology Dep, Jadavpur Univ, Kolkata-700 032) : Characterisation and in vitro evaluation of some natural mucoadhesive agents. Int J chem Sci 2004, 2(2), 171-82.

Mucus is an aqueous gel complex with a constitution of about 95% water, high molecular weight glycoprotein (mucin), lipid, salts, etc. Mucus appears to represent a significant barrier to the absorption of some compounds. Some natural edible substances are in consideration for candidates as mucoadhesive agents to claim more effective controlled drug delivery as an alternative to the currently used synthetic mucoadhesive polymers. Purified mucoadhesive agents were subjected for evaluation of the said property by various in vitro methods like thumb test, shear stress, falling sphere, Wilhelmy's and Robinson's method. Predetermined concentration of selected natural mucoadhesive agents were used and their potential was measured in terms of force required to detach in all the studied methods except failling sphere method, in terms of force required to detach in all the studied methods except falling sphere method, in which the time period was measured. Materials obtained from natural sources such as Pithecellobium dulce (PD), Acacia sinuata (AS), Acacia arabica (AA), Abelmoschus esculanthus (AE), synthtic substances like Sodium carboxy methyl cellulose (SCMC), Hydroxy propyl methyl cellulose (HPMC) and Guar gum(GG) were subjected for study. Mucoadhesive agent obtained from various souce possess mucoadhesive characteristics. Natural agents such as AA, AS, AE are less strong than PD, HPMC and GG. Pithecellobium dulce demonstrated significantly different mucoadhesive strength characteristics in the demopnstrated in vitro models. Further it may not be toxic, since it is edible.

4 illus, 33 ref

017411   Akbarally A;Darus M (School of Mathematical Science, Faculty of Science and Technology, Univ Kebangsaan Malaysia, Bangi 43600, Selangor D. Ehsan, Malaysia, Email: maslina@pkrisc.cc.ukm.my) : Some properties of analytic functions with negative coefficients defined by Ruscheweyh derivatives. Far East J mathl Sci 2004, 15(3), 319-31.

Some properties of functions belonging to a subclass T_λ(α, β, γ) which are analytic in the unit disk are found. This subclass has negative coefficients and is based on Ruscheweyh derivatives. A necessary and sufficient condition for functions to be in T_λ(α, β, γ) have been obtained. Also some distortion theorems and extreme points are found and an application to fractional calculus is also given. For this subclass, the radii of close-to-convexity, starlikeness and convexity have been devided.

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017410   Aghili A (Mathematics Dep, Guilan Univ, P O Box 1841, Rasht, Iran) : A potential problem in quarter-plane. Far East J mathl Sci 2004, 15(3), 283-91.

A version of mixed boundary value problem of the first kind in quarter-plane has been considered. One of the physical problems represents the steady flow of heat into the first quadrant through the segment x <62>1 of the x-axis and the rest of x-axis and the entire y-axis being perfectly insulated.

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015335   Wang S;Chen H (Math Dep, Shandong Economics Univ, Jinan, Shandong-250 014 P.R. China, Email: wsq482@sohu.com) : Extensions of stable range one. J appl Algebra Discrete Structs 2004, 2(2), 83-91.

Paper proved that an ideal I of a ring ring R has stable range one if and only if so has QM₂(I) as an ideal of QM₂(R).

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015334   Venkateswarlu K;Rao J A (Mathematics Dep, A.V. College of Arts, Science & Commerce, Gagan Mahal, Hyderabad, Email: kv_rlu@yahoo.com) : Numerical solution of unsteady blood flow through an indented tube with atherosclerosis. Indian J Biochem Biophys 2004, 41(5), 241-5.

The unsteady blood flow through an indented tube with atherosclerosis in the presence of mild stenosis has been studied numerically by finite difference method. The effects of hematocrit, frequency parameter, height of stenosis, parameter determining the shape of the constriction on velocity field, volumetric flow rate, pressure gradient of the fluid in stenotic region and wall shear stress at the surface of stenosis are obtained and shown graphically.

5 illus, 25 ref

015333   Tumurbat S;Wiegandt R (Algebra Dep, Mongolia Univ, P O Box 75, Ulaan Baatar 20, Mongolia, Email: stumurbat@hotmail.com) : On the matric-extensibility of radicals. J appl Algebra Discrete Structs 2004, 2(2), 119-30.

The matric-extensibility of radicals is investivated. It follows from general results that many concrete radicals, in particular, the Kasch radical, the uniformly strongly prime radical and the Puczylowski-Smoktunowicz radical are matric-extensible, but the Behrens radical is not. Also the matric-extensibility of polynomially extensible radicals is discussed.

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015332   Nam K B;Lee K S;Jain S (Math Dep, Univ of Wisconsin-Whitewater, Whitewater, WI 53190, USA, Email: namk@uww.edu) : Automorphism groups of some W-type algebras. J appl Algebra Discrete Structs 2004, 2(2), 93-9.

The non-associative algebra automorphism groups of N_1.0^exexi and N^exi_1.0 where i is a fixed positive integer. Some basically auto-invariant algebras introduced in the paper found. It has been shown that the non-associative algebras N_1.0^exexi and N^exi_1.0 are basically auto-invariant.

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015331   Denecke K;Ratanaprasert C (Universitat Postsdam Institut fur Mathematik, , Postdam, Germany, Email: kdenecke@rz.uni-potsdam.de) : Hyperidentities in order-primal algebras. J appl Algebra Discrete Structs 2004, 2(2), 101-18.

In the paper authors determine all partial order relations on the finite set A such that an order-primal algebra with the universe A satisfies the unary hyperidentity

6 ref

015330   Crnkovic D;Mikulic V;Rukavina S (Math Dep, Faculty of Philosophy, Omladinska 14, 5100 Rijeka, Croatia, Email: deanc@mapef.pefri.hr) : Block designs constructed from the group U(3,3). J appl Algebra Discrete Structs 2004, 2(2), 69-81.

A construction of a symmetric (36,15,6) design and two symmetric (63,31,15) designs from the unitary group U(3,3) has been shown. Those designs are defined as incidence structures on the elements of the conjugacy classes of the maximal subgroups. Incidence matrices M_i, i = 1,2,3, of the constructed designs are symmetric matrices with 1 everywhere on the diagonal. Therefore, the matrices M_i -I, i=1,2,3, are adjacency matrices of strongly regular graphs. Furthermore a construction of 2-(28,12,11), 2-(28,4,1) and 2-(36,16,12) designs from U(3,3) has been discribed. The unitary group U(3,3) acts transitively on the constructed designs and strongly regular graphs.

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013199   Mishra P K;Sharma C K (Applied Mathematics Dep, Birla Institute of Technology, Mesra, Ranchi-835 2l5) : Optimal implementation of parallel divide and conquer algorithm on de Bruijn networks. Proc Natn Acad Sci India-Sect A 2004, 74(Pt III), 323-8.

Problem of optimal implementation of parallel divide-and-conquer algorithm on binary de Bruijn networks. A divide and conquer algorithm is modeled as a temporal complete binary tree computation structure. An important contraction property between two successive binary de Bruijn network is revealed. A twice-size compute binary is mapped to a de Bruijn network. Two nodes in the compute binary tree are mapped to a single node. The mapping is of dilation one, communication contention free and of good load balance.

7 ref

013198   Kurian K M;Kurian B;Mathai A M (Statistics Dep, St. Thomas College Palai Mahatma Gandhi University, Arunapuram P.O., P, Kerala) : A matrix-variate extension of inverted Dirichlet integral. Proc Natn Acad Sci India-Sect A 2004, 74(Pt III), 337-52.

Type-2 or inverted multiple Dirichlet integral is extended for the real scalar variable case. Then the matrix-variate analogues of the extended Dirichlet integrals, the associated extended Dirichlet models and extended Dirichlet densities are considered. Various types of results are obtained which are mathematically and statistically interesting.

3 ref

013197   Ambasht B P;Ambasht J P (Mechanical Engineering Dep, Bokaro Institute of Technology, 363 Sector 3B, Bokaro Skeel City-827 001) : Ramanujan number. Proc Natn Acad Sci India-Sect A 2004, 74(Pt III), 329-36.

2 tables

012236   Yu H;Haiyan L;Liu Y (Dep of Mathematics, Shandong Normal University, Jinan 250 014, People's Republic of China, Email: ysliu6668@sohu.com) : Multiple positive solutions to third-order three-point singular semipositone boundary value problem. Proc Indian Acad Sci-Mathl Sci 2004, 114(4), 409-22.

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012235   Yildirim H;Sarikaya M Z;Ozturk S (Dep of Mathematics, Faculty of Science and Arts, Kocatepe University, Afyon, Turkey, Email: hyildir@aku.edu.tr) : The solutions of the n-dimensional Bessel diamond operator and the Fourier-Bessel transform of their convolution. Proc Indian Acad Sci-Mathl Sci 2004, 114(4), 375-87.

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012234   Yanjun D;Hongya G (NO, , ) : On the regularity of very weak p-harmonic functions. Far East J mathl Sci 2004, 15(1), 129-36.

The <65>-harmonic equation div[<62>G(x)∇u(x), ∇u(x)<60>^(p-2)/2G(x)<177>u(x)] = 0, where 2 ≤ p < ∞ and G is an n x n matrix has been considered. Its G-coefficients K_G have been used to show that for every r <62> 1, very weak solutions of class W^1,r_loc(Ω) actually belong to W^1,p_loc(Ω) and are solutions in the distributional sense, provided p is sufficiently close to 2 and K_G - 1 is sufficiently small.

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012233   Yang X M;Yang X Q;Teo K L (Dep of Mathematics, Chongqing Normal University, Chongqing-400 047, People's Republic of China) : Two properties of semistrictly preinvex functions*. Indian J pure appl Math 2004, 35(11), 1285-92.

The class of semistrictly preinvex functions introduced by Yang and Li has been considered. Two properties of semistrictly preinvex functions are given. These properties include a gradient criterion of semistrictly preinvex functions and a criterion of semistrictly preinvex functions in terms of intermediate-point semistrict and prequasiinvexity. In particular, one of them improves Yang and Li's an interesting result.

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012232   Yadav R K;Singh B (Mathematics and Statistics Dep, J.N.V. University, Jodhpur-342 005) : Generating functions for the q-bedient's polynomials. Acta Cienc Indica-Math 2004, 30(2), 355-8.

By making use of the series rearrangment technique, generating functions for the q-Bedient's polynomials R_r(α, β; q, x) and G_r(α, β; q, x) have been established. The results obtained are q-Extensions of the results given earlier by Shah, some interesting special cases have also been deduced.

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012231   Warade R W;Deshmukh K C (Mathematics Dep, G.S. College, Khamgaon Dist : Buldana-444 303) : Analysis of thermoelastic deformation of a circular plate due to a partially distributed heat supply. Acta Cienc Indica-Math 2004, 30(2), 419-27.

Transtent thermo-elastic problem of a thin circular plate due to partially distributed heat supply for the heating and cooling medium on the upper surface of the plate has been discussed by applying the generalized integral transform technique and also determined the expressions for force component and thermal deflection of the circular plate defined as : 0≤r≤a, - b/2≤r≤b/2. The results are obtained in a series form in terms of Bessel functions and illustrated graphically.

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012230   Waphare B B (Mathematics Dep, Maharashtra Academy of Engineering, Alandi(D), Khed, Pune-412 105) : Applications of vector differential operator ∇. Acta Cienc Indica-Math 2004, 30(2), 401-4.

Formulae for (curl)ⁿ F → have been obtained for even and odd positive integer n. Finally, some integral theorems have been proved.

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012229   Wang G;Yan J (Dep of Computer Science, Guangdong Polytechnical Normal University, Guangzhou, Guangdong-510 665, People's Republic of China) : Periodic solutions of delay different1al equations with piecewise continuous arguments. Indian J pure appl Math 2004, 35(11), 1293-1304.

The set of ω-periodic solutions is found for delay differential equations with piecewise continuous arguments.

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012228   Verma V K;Singh M P;Katiyar V K (Mathematics Dep, Gurukul Kangri University, Haridwar, Uttaranchal) : Analytical study of blood flow through an artery with mild stenosis. Acta Cienc Indica-Math 2004, 30(2), 281-4.

The shape of stenosis to blood flow through an artery with mild stenosis has been studied. As these growths project into the lumen of in artery, the flow is disturbed and there develops a potential coupling between the growth and blood flow through the artery. The growth of stenosis with stenosis height and impedance ratio have been evaluated and compared with D.F. young (1968) and K. Haider (1985).

3 illus, 11 ref

012227   Varshney N K;Shilendra Kumar (Mathematics Dep, S.V. College, Aligarh) : Effect of thermal diffusion on steady laminar free convective flow along a moving porous hot vertical plate in the presence of heat source with mass transfer. Acta Cienc Indica-Math 2004, 30(2), 489-95.

The effect of thermal diffusion on steady laminar free convective flow through porous medium through a moving porous hot vertical plate in the presence of heat source with mass transfer has been studied. The governing equations of motions are solved by a regular perturbation technique. The temperature profile, concentration profile and skin friction are discussed with the help of tables and graphs. The velocity profiles are shown graphically taking into cases viz.,

3 illus, 4 tables, 14 ref

012226   Varshney N K;Ram Prakash (Mathematics Dep, S.V. College, Aligarh) : MHD free convective flow of a visco-elastic (Kuvshiniski type) dusty gas through a porous medium induced by the motion of a semi-infinite flat plate moving with velocity decreasing exponentially with time. Acta Cienc Indica-Math 2004, 30(2), 467-73.

MHD free convective flow of a visco-elastic (Kuvshiniski type) dusty gas through a porous medium induced by the motion of a semi-infinite flat plate moving with velocity decreasing exponentially with time has been dealt with. The expressions for velocity distribution of the dusty gas, dust particles and temperature distribution are obtained. The effect of Visco-elastic parameter (α₁) Magnetic parameter (M), Permeability parameter (K₁) and Prandtl number (P_r) on velocity distribution of dusty gas, dust particles and temperature distribution are discussed graphically with the help of the tables.

3 illus, 3 tables, 17 ref

012225   Varshney N K;Dwivedi R K (Mathematics Dep, S.V. College, Aligarh, Uttar Pradesh) : Unsteady effect on MHD free convection and mass transfer flow of Kuvshinshki fluid through porous medium with constant suction and constant heat and mass flux. Acta Cienc Indica-Math 2004, 30(2), 271-80.

An analysis of unsteady two-dimensional free convection and mass transfer flow of a Kuvshinshki fluid through a porous medium bounded by a vertical infinite surface with constant suction velocity and constant heat flux in the presence of a uniform magnetic field is presented. The effects of G_r and λ₁ with the time on the velocity, temperature, concentration distribution and skin friction are discussed with the help of tables and graphs.

6 illus, 6 tables, 11 ref

012224   Varma S K;Sharma T C (Mathematics Dep, Govt. Science P.G. College, Bilaspur-495 001) : On hyperbolic measure of entropy. Acta Cienc Indica-Math 2004, 30(2), 393-6.

Some properties of measure of hyperbolic entropy introduced by Kapur Are studied. Its directed divergence measure of inaccuracy, normalised measure of entropy etc. are discussed in detail.

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012223   Varadhan S R S (Dep of Mathematics, Courant Institute of Mathematical Sciences, New York University, NY-10012, USA, Email: varadhan@cims.nyu.edu) : Random walks in a random environment*. Proc Indian Acad Sci-Mathl Sci 2004, 114(4), 309-18.

Random walks as well as diffusions in random media are considered. Methods are developed that allow one to establish large deviation results for both the 'quenched' and the 'averaged' case.

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012222   Thiyagarajan M;Sairam N (NO, School of Humanities & Sciences, Sastra Deemed University, Tirumalaisamudram, Thanjavur-613 402) : Power of foldr in functional programming. Acta Cienc Indica-Math 2004, 30(2), 387-92.

In functional programming, fold family allows one to write functions that capture a common pattern of computation. The universal property of fold has been discussed as proof principle, as rules far program odptimization and the necessary and sufficient conditions for a function to be fold.

1 table, 9 ref

012221   Tada T;Saitoh S (NO, , ) : A method by transforms of variables for the first order nonlinear ordinary differential equations. Far East J mathl Sci 2004, 14(3), 393-403.

It has been shown that there exist many kinds of nonlinear ordinary differential equations of the first order with variable coefficients that can be solved analytically, by variable transforms and by reducing the equations to separated forms of the variables.

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012220   Sudo T (Dep of Mathematics, Faculty of Science, University of the Ryukyus, Nishihara, Okinawa 903-0213, Japan, Email: sudo@math.u-ryukyu.ac.jp) : A topological rank for c* -algebras. Far East J mathl Sci 2004, 15(1), 71-86.

A topological rank theory for C* -algebras has been studied. From required axioms, a notion of topological rank for C* -algebras has been considered.

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012219   Srivastava M;Ghosh S C (Mathematics Dep, D.A.V. College, Kanpur) : Some properties on fixed point theorem in metric spaces. Acta Cienc Indica-Math 2004, 30(2), 317-24.

Some properties on fixed point theorem in metric space with more than one function have been studied.

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012218   Sreenadh S;Ramana Murthy M V;Prasad C N; Ismail S (Mathematics Dep, S.V. University, Tirupati) : Peristaltic transport of a conducting fluid in a channel with permeable walls. Acta Cienc Indica-Math 2004, 30(2), 349-54.

Peristaltic transport of a conducting viscous fluid in a channel bounded by permeable walls is studied under long wavelength and low Reynolds number assumptions. The expressions for the pressure rise (drop) over one cycle of the wave and the mechanical efficiency of pumping are obtained, It is found that the pressure difference increases with the increment in Hartmann number M and it decreases with the increase in the permeability parameter for a given flux.

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012217   Sreedhara Rao G;Ramakrishna S;Krishna D V (Mathematics Dep, Sri Venkateswara University, Tirupati) : Flow of immiscible fluids through a channel bounded by porous beds. Acta Cienc Indica-Math 2004, 30(2), 359-74.

An adjacent flow of two immiscible fluids between porous beds is investigated using finite element method. The finite element solution is obtained at an arbitrary cross section using linear and quadratic polynomial approximations. The velocity, shear stress and the mass flow rate are evaluated and their behaviour is disccussed for different values of the governing parameters.

28 illus, 2 tables, 18 ref

012216   Shrivastava P K (Mathematics Dep, Govt. Model Science College, Rewa-486 001) : On the limit of aλ mean of Legendre series. Acta Cienc Indica-Math 2004, 30(2), 383-6.

Borwein introduced an Abel type (A_λ) summability of an infinite series. Huzoor, H. Khan has given necessary and sufficient conditions regarding (A_λ) summability of Fourier series of a 2π-periodic function. A result related to (A_λ) mean, of Legendre series has been given.

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012215   Shrivastava P K (Mathematics Dep, Govt. Medical Science College, Rewa-486 001) : Degree of approximation of functions by Legendre polynomials. Acta Cienc Indica-Math 2004, 30(2), 255-60.

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012214   Sheu T S;Liu P C;Chen J W (NO, , ) : Globally uniformly bounded stability of uncertain nonlinear dynamical systems described by differential inclusions. Far East J mathl Sci 2004, 15(1), 113-28.

The globally uniformly bounded stability of an uncertain nonlinear dynamical system described by differential inclusions is studied. The goal is to construct a feedback control such that all trajectories of the system are globally uniformly bounded stable with an exponential convergence rate to zero after a finite time T. An estimate of the time T of all trajectories attaining zero is given. An illustrative example has been provided to demonstrate the use of the main results.

2 illus, 7 ref

012213   Sharma V (Mathematics Dep, N.A.S. (P.G.), College, Meerut, Uttar Pradesh) : Availability analysis of a two-unit standby system with delayed replacement under perfect switching. Acta Cienc Indica-Math 2004, 30(2), 249-54.

Study has been made of system availability consisting of two identical cold standby units with constant failure rates. Initially, one unit is operative while other remains as standby. Each of the units of the system has three modes, i.e., normal, degraded and total failure. The system fails when both the units fail totally and may also fail due to common cause failure. The time taken in replacement of a failed unit by a standby unit is not negligible but is a random variable.

2 illus, 3 ref

012212   Sahleh H (Dep of Mathematics, Guilan University, P.O. Box 1914, Rast, Iran, Email: sahleh@cd.gu.ac.ir) : A covering of topological groups and the Schur multiplier. Far East J mathl Sci 2004, 14(3), 325-32.

For topological groups A, B, a covering of the direct product A x B via has been constructed ??? the 2nd nilpotent product. In particular, it has been shows that the 2nd nilpotent of two topological groups can be represented as an exact sequence whose kernel is isomorphic to the direct product of A ⊗ B and the Schur multipliers M(A), M(B).

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012211   Rathore C J;Srivastava U K (Mathematics Dep, Government Girls P.G. College, Bilaspur-495 001) : On degree of approximation of functions in the holder metric. Acta Cienc Indica-Math 2004, 30(2), 375-82.

The degree of approximation in the Holder metric by (f, dn) mean has been studied.

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012210   Rathod V P;Sheeba Rani I;Tanveer S;Rajput G G (Studies and Research in Mathematics Dep, Gulbarga University, Gulbarga-585 106) : Steady blood flow with periodic body acceleration. Acta Cienc Indica-Math 2004, 30(2), 405-10.

In normal life the human body is quite often subjected to acceleration. Prolonged exposure to such accelerations can generate significant effects on the blood circulation and its rheological behaviour depending on the configuration and geometry of the blood vessels. A mathematical model for steady blood flow subjected to externally imposed periodic body acceleration has been given. With the help of finite Hankel transforms, an exact solution for the steady flow of blood as an incompressible, couple stress fluid has been obtained. The distributions of velocities are portrayed graphically. The results have been compared with other existing models. Finally, some biological applications of this theory have been briefly discussed.

4 illus, 18 ref

012209   Ramakrishna Prasad A;Rao K L N (Mathematics Dep, JNTU College of Engg., Hyderabad-500 072) : Neural network for the availability analysis of series-parallel systems. Acta Cienc Indica-Math 2004, 30(2), 343-8.

Artificial neural networks can achieve high computation rates by employing a massive number of simple processing elements with a high degree of connectivity between the elements. Neural networks with feedback connections provide a computing model capable of exploiting finegrained parallelism to solve a rich class of complex problems. Network parameters are explicitly computed, based upon problem specifications, to cause the networks to converge to an equilibrium that represents a solution. Mahmoud and Suliman have introduced Neural Network approach to the reliability analysis. A systematic approach to the availability analysis of a three unit series parallel system with repair is used to illustrate the Neural Network approach. The discrete-time Markov model of Series-Parallel system is realized using Feed-Forward recursive neural network, The energy junction and update equations for the weignts of the neural network are established. The failure rate and repair rate, satisfying the desired availability, are extracted from the neural weights at convergence. The obtained results are verified with the continuous-time solutions of the markove model and digital simulation.

1 illus, 11 ref

012208   Rajput U S;Varshney N K;Rajput D (Mathematics Dep, S.V. College, Aligarh, U.P.) : Thermal-diffusion and transpiration effects on MHD free convection flow of viscous stratified fluid past a vertical moving plate. Acta Cienc Indica-Math 2004, 30(2), 233-40.

An unsteady free convection MHD flow of a viscous stratified fluid past a vertical moving plate in the rotating system with mass transfer, depending on vertical co-ordiante has been considered. The effects of thermal diffusion and transpiration have been observed. Analytical solutions for the velocity, temperatrue and concentration fields are obtained. The effects of various parameters (e.g., Magnetic parameter (M), Schimdt number (Sc), Soret effect (S₀), Grashof number (Gr), modified Grashof number (Gm) and stratification parameter (b)) on the velocity fields and skin-friction components have been discussed with the help of graphs and tables.

8 illus, 5 tables, 13 ref

012207   Rajput A;Malhotra S K;Shrivastava R (Mathematics Dep, Sadhu Vaswani College, Sant Hirdaram Nagar, Bhopal-462 030) : A fixed point theorem for a multivalued non-self mapping. Acta Cienc Indica-Math 2004, 30(2), 485-7.

A fixed point theorem for a multivalued non-self mapping in a metrically convex complete metric space has been proved.

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012206   Rajeswara Rao U;Sivaprasad R;Prasada Rao D R V (Mathematics Dep, S.K. University, Ananatapur) : Combined free and forced MHD convection flow in a wavy channel. Acta Cienc Indica-Math 2004, 30(2), 299-310.

An attempt has been made to analyse the effect of heat sources on the free convective flow of an incompressible, viscous, electrically conducting fluid confined between two horizontal wavy walls. The non-linear equations governing the fluid flow and heat transfer have been solved subject to the relevant boundary conditions by assuming that the solution consists of two parts, a mean solution and perturbed solution. To obtain perturbed part of the solution use has been made of the long wave approximation. The mean part corresponds to the fully developed flow and the perturbed part arises from the waviness of the wall. These mean and the perturbed solutions are evaluated and their behaviour is discussed numerically for variations in the governing parameters.

8 illus, 4 tables, 21 ref

012205   Rajamani M;Inthumathi V (Post Graduate Department of Mathematics, NGM College (Autonomous), Pollachi-642 001) : On sp-normal spaces and some functions. Acta Cienc Indica-Math 2004, 30(2), 261-70.

The concept of sp-normality which is weaker than s-normality has been introduced. It is shown that sp-normality is a topological property. Some characterization of sp-normal spaces are obtained. Some functions preserving sp-normality are also investigated.

21 ref