011178   Choudhury D (Dep of Mathematical Sciences, Loyola College Baltimore, Maryland 21210, , U. S. A., Email: dsc@loyola.edu) : Decomposition of matrices. Far East J mathl Sci 2004, 14(3), 303-14.

In matrix analysis matrix factorization plays an important role. Schur's triangular factorization and singular value decomposition in the context of rectanormal sets and orthogonal matrices have been discussed.

9 ref

011177   Chen S D;Chen W Y;Huang S S (Dep of Mathematics, National Changhua University of Education, Changhua City 50058, Taiwan, Email: shuang@math.ncue.edu.tw) : A new construction of Ewell's octuple product identity. Indian J pure appl Math 2004, 35(11), 1241-53.

An octuple product identity motivated by the work of Carlitz and Subbarao in which they use Jacobi's triple product identity has been established only to prove the quintuple product identity and Winquist's identity. The work turns out to be a new construction of Ewell's octuple product identity. On the other hand, an alternative proof has been offered for the octuple product identity by appealing to functional equations satisfied by related infinife products.

011176   Chen C M;Chang T H (Department of Mathematics Education, National Hsinchu Teacher's College Hsinchu, Taiwan, R. O. C) : H-S-KKM theorem and its applications. Far East J mathl Sci 2004, 14(3), 315-24.

Some fixed point theorems, generalized H-S-KKM theorems and matching theorems has been obtained using the concept of H-convexity in generalizing the S-KKM property and S-KKM(X, Y, Z) family. The results generalize many earlier results.

9 ref

011175   Chandramouli A B;Anuj Kumar (P.G. Studies and Research in Mathematics Dep, M.S. College, Saharanpur-247 001) : Development of fuzzy theory in medical science in the decade 1970-1980. Acta Cienc Indica-Math 2004, 30(2), 411-8.

The usefulness of fuzzy theory in medical science has been dealt with.

53 ref

011174   Bhagat N;Bansal N;Agarwal S C (Mathematics Dep, Govt. P.G. College, Berinag (Pithoragarh), (Uttaranchal)) : Stability of Rivlin-Ericksen dusty flow between two rotating coaxial circular cylinders in a porous medium. Acta Cienc Indica-Math 2004, 30(2), 291-8.

The stability of Rivlin-Ericksen dusty flow in a porous medium between two rotating coaxial circular cylinders is examined. Recovery of Rayleigh's and Rachna's modified criteria for stability under some physical situations provide important contribution. Other results include the conditions for stability and instability for oscillatory modes and the non-existence of the marginal state.

21 ref

011173   Ali S;Ram Nivas (Applied Science Dep, Shri Ram Swaroop Memorial College of Engineering and Management, Lucknow-227 105) : On submanifold of a Riemannian manifold with quarter symmetric metric and non-metric connection. Acta Cienc Indica-Math 2004, 30(2), 285-90.

Hypersurfaces of a Riemannian manifold with semi-symmetric metric connection have been studied by Imai and others. Nirmala and Chaffle defined the notion of semi-symmetric non-metric connection in a Riemannian manifold. Professors Mishra and Pandey studied quarter symmetric metric connections in a differential manifold. Submanifolds of codimensions r of a manifold admitting quarter symmetric metric and non-metric connection have been studied. Some interesting results have been established on such manifolds.

8 ref

011172   Ali R M;Ravichandran V;Hussain Khan M; Subramanian K G (NO, School of Mathematical Sciences, University Sains Malaysia, 11800 USM Penang, Malaysia, Email: rosihan@cs.usm.my) : Differential sandwich theorems for certain analytic functions. Far East J mathl Sci 2004, 15(1), 87-94.

If q₁ q₂ be univalent in Δ := {z : |z| <60> 1} some applications of first order differential superordinations to obtain sufficient conditions for normalized analytic functions f(z) to satisfy q₁(z) <60> zf'(z)/f(z) <60> q₂(z) have been given.

6 ref

011171   Alaca S;Spearman B K;Williams K S (School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada K1S 5B6, Email: salaca@math.carleton.ca) : The factorization of 2 in cubic fields with index 2. Far East J mathl Sci 2004, 14(3), 273-82.

The explicit factorization of the principal ideal <60>2<62> has been given in cubic fields with index 2.

6 ref

008171   Biswas A;Dewanji A (Applied Statistics Unit, Indian Statistical Inst, 203, B.T. Road, Calcutta-700 035) : Scheduling optimal examination times in a simple illness-death model. J Stat Plann Inference 2004, 126(1), 173-87.

007197   Verma S K;Pandey S K (Department of Mathematics, Govt Science Autonomus P G College, Bilaspur 495 001) : Relation between MEP and MDIP with reference ot kapur's entropy. Acta Cienc Indica-Math 2004, 30(1), 163-6.

Relation between Maximum Entropy Principle and Minimum Discrimination Information Principle have been obtined in case of Shannon's Entropy by Kapur and Kesavan (1987) and Fermi Dirac, Entropy by Trivedi and Varma (2002). In the present paper relation has been established in the case of Kapur (1986) entropy and the additional constraint has been obtained. The result includes result of Kapur and Kesawan (1987) and Trivedi and Varma (2002).

5 ref

007196   Vasantha W B;Williams D (Department of Mathematics, Indian Institute of Technology, Madras 600 036) : Non-associative finite pseudo fields. Acta Cienc Indica-Math 2004, 30(1), 221-5.

A new algebraic structure called pseudo fields of order n², n<62>3 and n an odd integer has been constructed and proved that for every such integer there exists one and only one pseudo field. This concept generalized to pseudo rings. Further it has been established for only integer n, be it odd or even one can have a class of pseudo rings.

3 ref

007195   Varshney N K;Dharmvir Singh (Department of Mathematics, S V College, Aligarh) : Unsteady effect on MHD free convection and mass transfer flow of Rivlin-Ericksen fluid through porous medium with constant suction and constant heat flux. Acta Cienc Indica-Math 2004, 30(1), 41-50.

An analysis of unsteady two-dimensional free convection and mass transfer flow of a Rivlin-Ericksen 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 β_o with 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

007194   Taneja R;Jain N C (Mathematics Dep, Government College, Tonk (Rajasthan)) : MHD free convection flow through a porous medium between two moving vertical plates in slip flow regime. Acta Cienc Indica-Math 2004, 30(1), 29-36.

A study has been made of an electrically conducting fluid flow through a porous medium in a vertical channel under the influence of transverse magnetic field in slip flow regime when the plates are moving with different velocities and one of the plates is subjected to constant heat flux. The coupled non-linear equations are solved for velocity, temperature and Nusselt number are obtained and the variations are shown in graphical and tabular forms.

4 illus, 2 tables, 11 ref

007193   Tak S S;Shashi Nain (Department of Mathematics, J N V University, Jodhpur 342 005) : Unsteady free convection through a porous medium of fluctuating permeability bounded by porous vertical plate with constant heat and mass flux. Acta Cienc Indica-Math 2004, 30(1), 63-70.

A theoretical analysis of unsteady two dimensional free convection and mass transfer flow of a viscous incompressible electrically conduting fluid through a porous medium of fluctuating permeability bounded by a vertical infinite plane surface with constant suction velocity and constant heat and mass flux in the presence of a uniform magnetic field and a heat source/sink is presented. The permeability of porous medium fluctuates with time above a constant mean, which causes unsteadiness in the flow using perturbation method the expression for velocity, temperature, concentration and skin-friction and obtained. The effect of permeability parameter, Grashof number for heat transfer Grashof number for mass transfer. Schmidt number and heat source/sink parameter on velocity, temperature and concentration profiles are discusses numerically and shown graphically. The effects of the above mentioned parameters on the skin friction coefficient are also presented.

7 illus, 13 ref

007192   Sulochana C;Arulmozhi Rani A;Prasada Rao D R V (Department of Mathematics, Gulbarga University, Gulbarga (Karnataka)) : Unsteady convective heat and mass transfer through a porous medium in a cylindrical annulus with travelling thermal waves. Acta Cienc Indica-Math 2004, 30(1), 15-28.

15 illus, 2 tables, 13 ref

007191   Siva Prasad R;Rajeswara Rao U;Prasada Rao D R V (Department of Mathematics, Sri Krishnadevaraya University, Anantapur 515 003) : Wall conductance effects on rotating MHD channel flow with hall currents. Acta Cienc Indica-Math 2004, 30(1), 81-92.

The effect of Hall currents on the combined free and forced hydromagnetic convection flow in a rotating channel bounded by two finitely conducting walls has been analysed. The flow is governed by the Grashoff number G, the Hartmann number M, the Rotation parameter K and the Hall parameter m. An exact solution is obtained and the behaviour of the velocity, magnetic and temperature fields for variations in the governing parameters is discussed in detail.

9 illus, 6 tables, 11 ref

007190   Singh J;Gupta C B (Department of Mathematics, B S A College of Engg & Tech, Mathura) : Unsteady effect on MHD free convection and mass transfer flow through porous medium induced by the motion of a plate moving with velocity decreasing exponentially with time. Acta Cienc Indica-Math 2004, 30(1), 155-62.

An analysis unsteady two-dimensional free convection and mass transfer flow of a viscous incompressible electrically conducting fluid through a porous medium bounded by a vertical infinite surface moving with velocity decreasing exponentially with the time with constant suction velocity and constant heat flux in the presenceof a uniform magnetic field is presented. The efects of P_r and S_c with the time on the velocity, temperature, concentration distribution and skin friction are discussed with the help of tables and graphs.

4 illus, 4 tables, 11 ref

007189   Singh A K;Manisha (Department of Mathematics, C L Jain College, Firozabad 283 203) : Heat and mass transfer effects on unsteady flow of a viscous fluid with volume fraction, heat source and soret number. Acta Cienc Indica-Math 2004, 30(1), 115-30.

Heat and mass transfer effects on unsteady laminar flow of an electrically conducting, incompressible, viscous fluid embedded with solid, identical, spherical, non-conducting dust particles through a channel consisting of two parallel infinite plates under the influence of a uniform transverse magnetic field is studied. Two cases; namely externally cooled channel walls (G_r<62> O) and externally heated channel walls (G_r <60> O) are presented. The solutions for velocity field of liquid and dust particles, temperature field and concentration field are obtained taking into account the heat source, Soret effect and the volume fraction of dust particles. The expressions for sin-friction, rate of heat and mass transfer are also obtained. The effects of various parameters on velocity field, skin-frictiono f the liquid and dust particles for externally cooled channel walls (G_r<62>O) and externally heated channel walls (G_r<60>O) are discussed. The rate of heat and mass transfer are also observed for effects of important parameters.

2 tables, 18 ref

007188   Satish Chandra;Agarwal A K (Department of Mathematic, Hindu College, Moradabad) : Unifield structure on the tangent bundle. Acta Cienc Indica-Math 2004, 30(1), 75-8.

Defined a Unified structure and studied some affine connections and the semi-symmetric metric connection in a differentiable manifold equipped with this structure. Studied properties of almost complex structure in the tangent and cotangent bundle space over the almost contact manifold. Atansiu & Voicu. Obtained some results for the lift of the almost structure to (OSC²M). Some results for the lifts of the H-structure to T(OSC²M). Some results have been considered for this lift on Unified structure in the tangent bundle.

7 ref

007187   Sarkar N G (Department of Mathematics, Maulana Azad College, 8 Rafi Ahmed Kidwai Road, Kolkata 700 013) : Gompertzian growth in random environment with cyclically varying parameters. Acta Cienc Indica-Math 2004, 30(1), 181-5.

The stochastic behaviours of Gompertzian Growth of single species homogeneous population a random environment with cyclically varying growth coefficients and carrying capacities have been investigated.

14 ref

007186   Santhi R;Sundaram P (Post Graduate Department of Mathematics, NGM College (Autonomous), Pollachi 642 001) : Strongly generalized semi-preclosed sets in fuzzy topological spaces. Acta Cienc Indica-Math 2004, 30(1), 103-8.

The concept of fuzzy strongly generalized semi-preclosed sets has been introduced in fuzzy topological spaces, which is a stronger form of fuzzy generalized semi-preclosed sets in fuzzy topological spaces. Some of their properties have been studied.

5 ref

007185   Saluja A S;Daheriya R D;Khasdeo D Y (NO, J H Govt P G College, Betul) : Fixed point theorem for multi-valued mappings in D-metric spaces. Acta Cienc Indica-Math 2004, 30(1), 131-8.

A fixed point theorem for generalized multi-valued mappings in D-metric space for rational inequality has been proved. Result include the fixed point theorems of Dhage. As the special cases under weaker conditions.

4 ref

007184   Rathod V P;Tanver S;Sheeba Rani I;Rajput G G (Department of studies and research in Mathematics, Gulbarga University, Gulbarga 585 106) : Steady blood flow with periodic body acceleration and magnetic field through an exponentially diverging vessel. Acta Cienc Indica-Math 2004, 30(1), 5-14.

The steady flow of blood through vessels of exponential divergence with periodic body acceleration and magnetic field has been studied by considering blood as a couple stress fluid. With the help of finite Hankel transform, analytical expressions for axial velocity and flow rate have been obtained. The effects of small increasing rates of vessel divergence, magnetic field and body acceleration have been discussed.

15 illus, 22 ref

007183   Parminder Singh;Gill A N (Department of Mathematics, Guru Nanak Dev University, Amritsar 143 005) : Selection procedure for selecting life distribution with least value of measure based on reliability function. Acta Cienc Indica-Math 2004, 30(1), 57-62.

Let π1...., πk be k independent population such that the life of individual or component from population πi follows distribution with obsolutely continuous cumulative distribution function (cdf) F_i(x), F_i(0)=0, i= 1,...k. In reliability, many non-parametric classes of life distributions (e.g.., increasing failure rate (IFR), increasing failure rate average (IFRA), increasing mean residual life (IMRL) have been defined, based on the properties of certain reliability functions namely, hazard function, mean residual life function and survival function etc. Characterize the Population π having cdf F_i by a measure Δ_i=Δ(F_i), derived from the property of reliability function among the members of particular class and then propose a two stage selection procedure, based on the U-statistic estimator of Δ₁=Δ(F_i), to select a population associated with the smallest Δ-value. The applications of the proposed procedure when Δ_i is the measure of IFR-ness and IFRA-ness have been demonstrated separtely.

9 ref

007182   Panday H;Shukla V;Mishra M C;Yadav A K (Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur 273 009) : Inflated probability model for communication pattern. Acta Cienc Indica-Math 2004, 30(1), 227-9.

Inflated Probability model for the communication pattern has been developed. The model involves two parameters and these are estimated by M L E. Test the suitability of model through observed set of data.

1 table, 4 ref

007181   Palaniappan N;Pious Missier S (Department of Mathematics, Alagappa University, Karaikudi 630 003) : ⊥G-locally closed sets in biotopological spaces. Acta Cienc Indica-Math 2004, 30(1), 109-14.

The concept of (τ₁, τ₂)-g^{^}-locally closed sets, (τ₁,τ₂)-g^{^}-locally star-closed sets, (τ₁,τ₂)-g^{^}-locally star-star-closed sets are introduced and some of their basic properties are studied.

6 ref

007180   Pagey S S;Vyas U;Deepak Singh (Department of Mathematics, Institute for Excellence in Higher Education, Bhopal) : Common fixed points of four mappings in D-metric space. Acta Cienc Indica-Math 2004, 30(1), 97-102.

5 ref

007179   Pagey S S;Deepak Singh;Vyas U (Department of Mathematics, Institute for Excellence in Higher Education, Bhopal) : Relative asymptotic regularity and common fixed points. Acta Cienc Indica-Math 2004, 30(1), 71-4.

A common fixed point theorem in 2-metric spaces is proved, using the concept of compatible mappings and relative asymptotic regularity of sequences.

4 ref

007178   Nagarajan A;Navaneetha Krishnan S (Department of Mathematics, O C College, Tuticorin 628 008) : Ascending graphoidal cover. Acta Cienc Indica-Math 2004, 30(1), 51-60.

Graph G is said to ave an ascending cover if G is decomposed into edge disjoint subgraphs G₁...G_n such that ∴Ei)∴ <60> ∴ E(G_i+1)∴ for i=1, 2, 3, ...,n - 1. Ascending cover G into internally disjoint paths (not necessarily open) is known as ascending graphoidal over (AGC) of G. those graphs which admit AGC are identified.

6 illus, 3 ref

007177   Muthukumaraswamy K;Devi R (Department of Mathematics, Kongunadu Art and Science College, Coimbatore 641 029) : On fuzzy α-generalized closed sets. Acta Cienc Indica-Math 2004, 30(1), 173-6.

Generalized fuzzy α-closed sets and fuzzy α-generalized closed sets have been introduce in a fuzzy topological space and some of their properties have been discussed.

6 ref

007176   Mishra J;Singh J S;Singh N L (Department of Mathematics, T D College, Jaunpur 222 002) : Rheological fluid model for magnetohydrodynamic parallel plates hemodialyser. Acta Cienc Indica-Math 2004, 30(1), 149-54.

A two layered magneto hydrodynamic flow through parallel plates under the transverse magnetic field has been investigated. Analytical expression for velocity profiles in the core region and peripheral plasma (PPL) layer region has been obtained. Further the effect of magnetic field along flow direction has been discussed. Profiles of magnetic lines of force are illustrated with respect to duct gap for different values of Hartmann number M. It is seen that the magnetic lines of force leave the duct wall at right angle and then bulge in the direction of fluid flow. Which show that the RBC (magnetic particle) moves away from the wall, reducing the gathering of the particle at the wall, leads to help in reducing the cell injury and dialysis time. Representative values of magnetic lines of force with respect to duct gap for different values of peripheral width and Hartmann numbers have been shown graphically.

3 illus, 5 ref

007175   Marcu D (NO, , Str Pasului 3, Sector 2, 020795-Bucharest, Romania) : Some results on the independence number of a graph. J Indian Inst Sci 2003, 83(3-4), 95-7.

New lower bounds for the independence number α (G) of a finite and simple graph G has been given.

3 ref

007174   Leela Ratnam;Sarojamma G;Neeraja G (Department of applied Mathematics, Sri Padmavathi Mahila Visvavidyalayam, Tirupati 517 502) : Free convection channel flow through a porous medium with prescribed discharge. Acta Cienc Indica-Math 2004, 30(1), 201-13.

2 illus, 4 tables, 26 ref

007173   Kumar S;Dube K K;Saxena M;Rai J P N (Statistics & Computer Science Dep, G B Pant University of Agriculuture and Technology, Pantnagar 263 145) : Mathematical model for prediction of soil microbial functional attributes affected by pulp and paper industry effluent. J scient ind Res 2004, 63(11), 908-12.

A mathematical model to study the impact of pulp and paper industry effuent on some functional attributes of soil microbes is proposed and analyzed. In modeling the system, It is assumed that the microbial biomass and activity increase exponentially with decreasing load of pollution at distance from the source of pollutants origin. The model developed is applied to soil microbial biomass C and N, respiration and dehydrogenase activity to obtain the projected data of agroecosystem soil fed with the effluent during crop irrigation.

007172   Krishna D V;Prasada Rao D R V;Sivanjaneya Prasad P (Department of Mathematics, S K University, Anantapur 515 003) : Transient hydromagnetic convective heat and mass transfer flow in a rotating channel. Acta Cienc Indica-Math 2004, 30(1), 93-6.

An initial value investigation of the convective heat and mass transfer flow of a viscous electrically conducting fluid in a rotating channel has been made by Laplace transform technique. The ultimate boundary has been discussed for different ranges of the frequency.

9 ref

007171   Jain R K (Department of Mathematics, Guru Nanak Dev University, Amritsar 143 005) : Monoids in which semi-primary ideals are primary - a structure theorem. Acta Cienc Indica-Math 2004, 30(1), 193-5.

16 ref

007170   Hari Kishan;Deepak Raj (Department of Mathematics, D N College, Meerut) : Spatial stability of hydromagnetic stratified shear flows. Acta Cienc Indica-Math 2004, 30(1), 197-9.

The spatial stability of hydromagnetic stratified parallel shear flows has been discussed. The spectrum of eigen values has been obtained and some stability theorems have been established.

2 ref

007169   Gopalan M A;Devibala S (Department of Mathematics, National College, Triuchirapalli 620 001) : Two interesting problems on inequalities. Acta Cienc Indica-Math 2004, 30(1), 79-80.

1 ref

007168   Ghosh R N;Mishra B K;Mishra B N (Mathematics Dep, Government Polytechnic, Gaya (Science and Technology), Bihar) : Study of location of the libration point in the Robe's restricted three-body problem when the first primary is oblate spheroid and the second one is radiating. Acta Cienc Indica-Math 2004, 30(1), 1-4.

The Robe's (1977) restricted three-body problem is generalized in the sense that the rigid spherical shell, filled with homogeneous incompressible fluid is taken as oblate spheriod and problem has also been made photogravitational in the sense that the second mass point is radiating outside the shell: whereas the third infinitesimal spherical mass is supposed to be moving inside it. This third body of negligible mass is experiencing the gravitational attraction of the second body and the effect of radiation pressure too: while the buoyancy force due to the fluid inside the shell on this point is zero since it is located internaly. The effect of oblateness and radiation of the two respective primaries on the location of the liberation point has been studied further: and it has been found to be as 1 = 1 [{q(1 - 3/2 A₁ + 2k) + 2k} μ, 0, 0} which agrees with the classical result of Robe.

5 ref

007167   Gaur M;Ashish Kumar;Agarwal M (Mathematics Dep, N A S P G College, Meerut) : Set and subsets system of a simple graph. Acta Cienc Indica-Math 2004, 30(1), 177-9.

Let G = (V,E) is a simple graph. Simple graph is a graph which has only one edge between any two vertices.

3 ref

007166   Devi R;Bhuvaneshwari K (Mathematics Dep, Kongunadu Art and Science College, Coimbatore 641 029) : α-Weakly generalized closed sets in topological spaces. Acta Cienc Indica-Math 2004, 30(1), 167-72.

A new class of sets namely α-weakly generalized closed sets, which is properly placed between class of α-closed set and weakly generalized closed sets. Applying this set a new space called T_αwg space has been introduced.

9 ref

007165   Chandramoul A B;Rajendra Singh (P G Mathematics Dep, M S College, Saharanpur) : Mode packing and perfect graphs. Acta Cienc Indica-Math 2004, 30(1), 139-48.

A complete description of integral packing polytopes P={X∈ R₊^N:AX≤1}has been given. Here the matrices A are defined by incidence vectors of cliques of a class of graphs, and the extreme points of the polytopes are incidence vectors of node packings. Then by invoking, anti-blocking polarity a proof of the famous perfect graph theorem was obtained.

6 illus, 28 ref

007164   Bhagwat Prasad;Verma R K (Department of Mathematics, S M M Town (P.G.) College, Ballia 277 001) : E-curvature tensor on K-contact and saskian manifolds. Acta Cienc Indica-Math 2004, 30(1), 37-40.

A K-Contact and Sasakian manifold has been studies with div E=0, where E denotes the E-curvature tensor and `div' denotes divergence.

9 ref

006232   Uma M K;Roja E;Balasubramanian G (Department of Mathematics, Sri Sarada College for Women, Salem 636 016) : On fuzzy pre-T_1/2 and FG pre-connected spaces. Mathl Forum 2002, 15, 1-18.

Some generalizations of fuzzy pre-continuous functions are introduced and studied. Making use of the concept of fuzzy pre-open set several interesting concepts such as generalized fuzzy pre-extremally disconnected spaces, fuzzy generalized pre-compact spaces are studies and several examples are also given.

11 ref

006231   Seenivasan V;Balasubramanian G (Department of Mathematics, Jawahar Science College, Neyveli 607 803) : The complementary fuzzy topology. Mathl Forum 2002, 15, 27-33.

The concept of the Complementary Fuzzy Topology by making use of the interior and the complement operator. Several interesting properties of this newly introduced fuzzy topology have been discussed and studied.

7 ref

006230   Phukan D K;Saroa M S (Department of Mathematics, Moran College, Moranhat, Assam) : Hydromagnetic couette flow of a dusty fluid in a rotating frame of reference. Mathl Forum 2002, 15, 51-64.

Couette flow of a dusty fluid between two parallel plates in a rotating frame of reference is studied under a transverse magnatic field for impulsive start as well as for uniformaly accelerated start of one of the plates. Exact solutions for the velocities of the fluid and the dust, are obtained by using Laplace Transform Technique. The influences of the magnetic field and the dust parameter, on the velofities of the fluid and the dust, are analyzed at any time.

8 illus, 6 ref

006229   Kanakaraj M;Balachandran K (Department of Mathematics, Bharathiar University, Coimbatore 641 046) : An existence theorem for nonlinear mixed integrodifferential inclusions in banach spaces. Mathl Forum 2002, 15, 19-26.

The existence of mild solutions of nonlinear mixed integrodifferential inclusions in Banach spaces have been proved. The results are obtained by using the resolvent operators and a fixed point theorem for multivatued maps on locally convex topological spaces.

16 ref

006228   Hazarika G C (Department of Mathematics, Dibrugarh University, ) : Heat transfer between two parallel disks. Mathl Forum 2002, 15, 65-76.

The heat transfer due to flow of a viscous Newtonian fluid between two parallel circular disks of infinite extent is investigated. Two cases viz. Squeeze-film flow and coaxial disk flow are considered. For both the cases, the temperature function is assumed to consist of two functions with prescribed temperature at the plates. The problem is studied numerically for various values of the parameters Pr, the Prandtl number and E, the Eckert number. The results are presented graphically. It is observed that the temperature function increases for increase of the parameter E in both the cases. Again as Pr increases, the temperature functions in case of coaxial disk flow increase. In the case of squeeze-film flow the first temperature function decreases for increase of Pr but the second function increases at first to a certain point and then decreases from that point onwards. This point is at about one-fifth of the total distance between the plates from the lower one.

8 illus, 2 tables, 13 ref

006227   Devi R;Muthukumaraswamy K;Balachandran K (Department of Mathematics, Kongu Nadu Arts and Science College, Coimbatore 641 029) : Some stronger forms of ψ-closed sets in topological spaces. Mathl Forum 2002, 15, 35-50.

A new class of sets namely ψ^*-closed sets which is the stronger form of ψ-closed sets has been introduced. Some relation between ψ^*-closed sets and g-closed set, g^*-closed set, ψ-closed set, sg-closed set, gs-closed set, α-closed set, gα-closed set, αg-closed set and preclosed set have been studied.

12 ref

005189   Zhang X (Math and Phys Dep, Shandong Inst of Architecture and Engng, Jinan, 250014, People's Republic of China) : Periodic boundary value problems for integro-differential equations in banach speces. Indian J pure appl Math 2004, 35(10), 1223-34.

Applying monotone interative technique, increasing operator fixed point theorem in Banach space and Poincare operator, two theorems on existence of extreme solutions of periodic boundary value problems for Integro-differential equations in Banach space have been obtained.

10 ref