017067   Lee G Y;Chai S I (Math Dep, Hanseo Univ, Seosan 356 706, Korea) : On the full pattern ray-nonsingular induced from companion matric. Far East J mathl Sci 2004, 12(2), 169-76.

A ray-nonsingular matrix is a square complex matrix, A, such that each complex matrix whose entries have the same arguments as the corresponding entries of A, is nonsingular. A ray-pattern matrix is full if each of its entries is nonzero. A full pattern ray-nonsingular matrix induced from companion matrix have been considered.

6 ref

017066   Kumar R;Choudhary S (Mathematics Dep, Kurukshetra Univ, Kurukshetra 136119) : Response of orthotropic micropolar elastic medium due to time harmonic source. Sadhana 2004, 29(1), 83-92.

Deals with tthe plane strain proble is homogeneous micropolar orthotropic elastic solids. the distrbance due to time harmonic concentrated source is investigated by employing eigen-value approach. The integral transforms have been inverted by using a numberical technique to obtain the component of displacement, force stress and couple stress in the physical domain. The results of these quantiites given and illustrated graphically.

3 illus, tables, 16 ref

017065   Kumar A;Ghosh S (Math Dep, Natn Inst of Technol, Rourkela) : Non-differentiable progrmming problem under strong pseudoinvexity. Opsearch 2003, 40(4), 299-304.

A special class of nonlinear non differentiable programming problem containing square root term in the objective function as well as in the constraints is considered. Necessary and sufficient conditions of optimality are given under strong pseudoinvexity assumption on the functions involved. These conditions are then used to establish duality theorems.

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017064   Komatsu T (Mathematical System Sci Dep, Fac of Sci and Technol, Hirosaki Univ, Hirosaki, -36-8561, Japan) : On inhomogeneous diophantine approximation and the Borweins' algorithm. Far East J mathl Sci 2004, 12(2), 203-24.

Values M(θ, φ) = lim inf_{<157>q<157>→<133>< F255>} <157>q<157> <157><157> qθ - φ <157><157> have been obtained by using the algorithm by Borwin and Borwin. Two examples are given.

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017063   Huiqin L (Dep of Math, Shandong Normal Univ, Jinan Shandong 250014 People's Republic of China) : Global results for eigenvectors of superlinear operators and applications<. Indian J pure appl Math 2004, 35(2), 225-36.

Some global characteristics of the eigenvectors of a class of superlinear opeators have been investigate by means of the theory of fixed point index. Applications are given to signular differential equations.

8 ref

017062   Hoque A (Dep of Math, Univ of Rajshahi, Rajshai 6205 Bangladesh) : Intrducing of air bubble effects on a simplified model for wave height. Indian J pure appl Math 2004, 35(2), 167-76.

A study has been made of air bubble entainment by breaking waves on a shelf beach in the surf zone. An energy dissipation model is outlined to evaluate air bubble effets, which provides explicit expressions for the wave height within the surf zone. The wave height decreases significantly with increasing the air bubble into water.

4 illus, tables, 6 ref

017061   Guang-Xing S (Dep of Math, Univ of Petroleum, Dongying, Shandong-257061, People's Republic of China) : Two point boundary value problem of integro-differential equations of mixed type in banach spaces. Indian J pure appl Math 2004, 35(2), 193-205.

With the differential and integral inequalities theory and monotone interative technique, the existence and uniqueness of the solution for the two-point boundary value probelm of integro-differential equations of mixed type in Banach spaces are studied, and the error estimations for the convergent iterative sequence are also given.

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017060   De U C;Pathak G (Dep of Math, Univ of Kalyani, Kalyani 741235, West Bengal) : On 2-Dimensional Kenmotsu manifolds. Indian J pure appl Math 2004, 35(2), 159-65.

A 3-dimensional Kenmotsu manifold satisfying certain curvature conditions have been studied. Among other it is proved that a 3-dimensional Kenmotsu manifold which η-parallel Ricci tensor is of constant scalar curvature and a 3-dimensional Kenmotsu manifold satisfying cylic Ricci tensor is a manifold of constant negative cuvature.

7 ref

017059   Das K;Roy T K;Maiti M (Applied Math with Oceanology and Comp Programming Dep, Vidyasagar Univ, Midnapore-721 102) : Multi-objective fuzzy inventory model for deteriorating items with shortages over a finite time horizon. Opsearch 2003, 40(4), 252-77.

The inventory problems with infinite rate of replenishment in crisp and fuzzy environments over a finite time horizone for deteriorating multi-items have been considered taking time dependent demand and allowing shortges and equal replenishment cycles. The objectives of maximizing the profit and minimizing the replenishment cost are imprecise in nature. Total shortage cost in assumed to be limited but vague and imprecise in non-stochastic sense. The impreciseness in the above objectives and constraint goals have been expressed by fuzzy linear Membership Functions (MFs). Under these assumptions, a Decision Maker (DM) is confronted with four possibilities depending upon the nature of the first and last cycles and he/she has to choose the best one for maximum profit-ratio (i.e. the ratio of total profit to total cost). Hence, both crisp and fuzzy models with different shortage criteria are developed and solved by the weighted fuzzy non-linear programming (WFNLP) and goal attainment methods (GAM). Fuzzy models have also been solved by an integrated goal attainment and fuzzy non-linear programming technique (GAFNLP). Models are illustrated with numerical examples and the results are compared.

4 illus, 6 tables, 12 ref

017058   Dani A R;de S K (Inst for Development Res in Banking Technology, IDRBT, , Castle Hills, Road No.1, Masab Tank, Hyderabad) : Fuzzy analytical hierarchical process for selecting. Opsearch 2003, 40(4), 241-51.

The application of fuzzy Analytical Hierarchy Process (Fuzzy AHP) to a decision-making problem has been illustrated. AHP is a popular and powerful method for solving Multiple Criteria Decision Making (MCDM) problems. The application of Fuzzy AHP to the decision-making problem of selecting a suitable Bank is illustrated. The benefit of AHP is its capability to accommodate subjectivity and inconsistency in human judgments. It can deal with ill-structured and multi-criteria problems without severe complexities. The uncertainty in assigning relative importance to different criteria and attributes leads to the inclusion of fuzzy logic into the structure of the AHP paradigm. One such application is illustrated.

2 illus, 3 tables, 16 ref

017057   Bhatia D;Arora H (Operational Res Dep, Faculty of Math Sci, Univ of Delhi, Delhi-110 007) : Partial vector invexity and fractional minmax problems. Opsearch 2003, 40(3), 219-29.

The concepts of partial (V, ρ)-invexity and its generalizations are introduced for a vector valued function and are then applied to obtain sufficient optimality conditions and duality results for a generalized minmax fractional programming problem.

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017056   Baljeet Singh;Sarva Jit Singh (Math Dep, Govn Coll (M), Sector-II, Chandigarh-160 011) : Reflection of plane waves at the free surface of a fibre-reinforced elastic half-space. Sadhana 2004, 29(3), 249-57.

The propagation of plane waves in fibre-reinforced, anisotropic, elastic media is discussed. The expressions for the phase velocity of quasi-P (q^p) and quasi-SV (q^SV) waves propagating in a plane containing the reinforcement direction are obtained as functions of the angle between the propagation and reinforcement directions. Closed from expressions for the amplitude ratios for q^P and q>^>SV waves reflected at the free surface of a fibre-reinforced, anisotropic, homogeneous, elastic half-space and obtained. These expressions are used to study the variation of amplitude ratios with angle of incidence. It is found that reinforcement has a significant effect or the amplitude ratios and critical angle.

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017055   Balasubramani P (Dep of Math, Kongu Eng Coll, Perundurai, Erode 638052) : Stone topology of the set of prime filters of a O-Dstibutive lattice. Indian J pure appl Math 2004, 35(2), 149-58.

The Stone topology of the set of prime filers of a bounded O-distributive lattice and O and 1-distributive lattice. We also obtain haven been ithird. Some necessary and sufficient conditions for the subspace of maximal filters to be normal have been obtained.

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017054   Bairamov E;Kir E (Ankara Univ, Dep of Math, 06100 Tandogan, Ankara, Turkey) : Spectral properties of a finite system of Sturm-Liouville differential operators. Indian J pure appl Math 2004, 35(2), 249-56.

The eignevalues and the spectral singularities of the opeartor L generated by the finite system of Sturm-Liouvile differential expressions in the space L² (IR₊ C^N). have been investigated.

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017053   Bagchi T P;Kumar S;Shahi G;Kapse S R (Indian Inst of Technol, , Kanpur-208 016) : Optimal spacecraft support in remote sensing mission. Opsearch 2003, 40(3), 152-79.

Addresses the optimal allotment of ground station support time to low orbit (LEO) spacecraft with clashing visibilities. Orbiting once every 100 or so minutes at a 800 km height, LEOs now form a critical infractructure for natural resource management, rescue, crop yield estimation, flood control, communication, and space research and travel support worldwide. This problem is a generalization of the classical product mix problem in which "production quanties" (representing support times) must be determined so as to maximize total profits to the enterprise while subject to a sultitude of constraints. The problem is NP-complete. The present methodology exploits the structure of the profit function and constraints and invokes meta-heuristic methods to determine the optimum allocation. The paper concludes with the solution of a practical satellite support optimization problem routinely faced by mission managers. An important spin-off of this work is that it can enble the decision maker to also determine optimal ground station locations and support capability deployment in widely diverse scenarios.

9 illus, 2 tables, 28 ref

017052   Badiozzaman A J (Math Dep, Chamran Univ, Ahvaz, Iran) : Some one sided Tauberian conditions in Banach lattices. Far East J mathl Sci 2004, 12(2), 177-89.

It has been shown that a Banach lattice slow decrease is a Tauberian condition for the (C, 1) and Abel methods and the best possible one sided Tauberian condition in order that Abel summability implies (C, 1).

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017051   Arsham H (Univ of Baltimore, , Baltimore, MD 21201, USA) : Globally tight bounds for almost differentiable functions over polytopes with application to tolerance analysis. Opsearch 2003, 40(4), 305-19.

It is well known that many decisions can be formulated as optimization problems. A simple alternative approach to solving linearly constrained global optimization problems with almost differentiable objective functions has been presented. The unified approach is accomplished by converting the constrained optimization problem to an unconstrained optimization proble through a parametric representation of its feasible region. The proposed algorithm has the following features: it is a general-purpose algorithm; i.e., it employs one common treatment for all cases; it guarantees global optimization in each case, unlike other general-purpose, local optimization algorithms; it has simplicity because it is intuitive and requires only first order derivative (gradient); and it provides useful information for sensitivity analysis. The algorithm and its applications to tolerance analysis are presented in the context of numerical problems.

1 illus, 31 ref

017050   Arora S R;Gupta R (Math Dep, Hans Raj College, Univ of Delhi, Delhi-110 007) : A hybrid fuzzy-goal programming approach to multiple objective linear fractional programming problems. Opsearch 2003, 40(3), 202-18.

This paper presents an algorithm for solving a Multiple Objective Fractional Decision Making (MOFDM) problems based on the theory of weakly-efficient points, fuzzy sets, and Goal programming (GP). Starting from an integer weakly-efficient point, the proposed algorithm combines the attractive features of both fuzzy set theory and GP for MOFDM problem into a lexicographic GP problem by fixing the priorities and aspiration levels using the concept of fuzzy membership function along with the concept of conflict among the objectives. It is illustrated with the help of an example.

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017049   Alaca S;Williams K S (Cen for Res in Algebra and Number Theory Sch of Math and Satatists Car, , Ontario, Canada K1S 5B6) : p-Integral bases of a quartic field defined by a trinomial x<. Far East J mathl Sci 2004, 12(2), 137-68.

It P be a prime ideal of an algebraic number field K, p be a rational prime, and α ε K, if vp (α) ≥ 0, then α is called a P-integral element of K, where vp(α) denotes the exponent of P in the prime ideal decomposition of (α) and if α is P-integral for each prime ideal P of K such that P<157>pO_K, then α is called a p-integral element of K. If {ω₁, ω₂, ..., ω_n} be a basis of K over Q, where each ω_i (1 ≤ i ≤ n) is a p-integral element of K, if every p-integral element α of K is given as α = α₁ω₁ + α₂ω₂ + ... + α_nω_n, where the α_i are p-integral elements of Q, then {ω₁, ω₁, ..., ω_n) is called a p-integral basis of K. A p-integral basis of a quartic field K defined by a trinomial is determined for each rational prime p, and then the discriminant of K and an integral basis of K are obtained from its p-integral bases.

016084   Sunil J J (Dep of Mathe, Naton Inst of Technol Calicut, Calicut - 673601) : Fuzzy topological games II. Far East J mathl Sci 2003, 10(2), 209-21.

Topological games and covering properties in product fuzzy topoloical spaces have been studied. Attention is focussed mainly on paracompact and metacompact spaces. Every product space discussed will have a winning strategy for Player I in some particular kind of fuzzy topoligical games.

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016083   Sadegheih A (Dep Industrial Eng, Univ Yazd, P.O. Box 89195-741, Yazd, Iran) : Tabu search and effects of mutation rate on flow shop scheduling problem. Far East J mathl Sci 2003, 10(2), 223-30.

Genetic algorithms have been designed as general purpose optimisaion methods. A general purpose schedule optimiser for manufacturing shop scheduling using GAs has been presented. then, the 'unigorm order-based' corssover operator and a novel general effect of mutation rate on minimised objective value and tabu searcha are presented. TS has emerged as a new, highly efficient, search paradigm for finding quality solutions to combinatorial problems. It is characterised by gathering knowledge during the search, and subsequently profiting from this knowledge.

4 table, 10 ref

016082   Park J S;Choi J P;Kwun Y C (Dep of Math and Edu, Chinju National Univ of Edu, Jinju, 660-756, Korea) : Controllability of the nonlinear neutral fuzzy differential equations with nonlocal initial condition on E<. Far East J mathl Sci 2003, 10(2), 147-61.

The controllability conditions for nonlinear neutral fuzzy differential equations with nonlocal initial conditions in E²N have been found by using the concept of fuzzy numbers of dimension 2 whose values are normal convex upper semicontinous and compactly supported surfaces in R².

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016081   Kailash;Sharma A K (Phys Dep, Brahmanand Post Graduate Coll, Rath, Hameerpur-210 431) : Usefulness of multiplication, formulations and sub-formulations of vedic mathematics in 16-digit system. Bhartiya Vaigyanik Evam Audyogik Anusandhan Patrika 2004, 12(1), 119-24.

Since twentieth century, sufficient attention has been paid towards computer education of children, teachers and trainers. To reduce the complexity of calculations and make them easy and understandable, usefulness of formulations of vedic mathematics is well-documented. In computer education, the use of different digital systems like binary, tetradigital, octadigital and 16-digital is unavoidable. In all the digital systems, different processes are explained on the basis of fundamental definition of decimal digital system. It is quite pleasing the formulations of Vedic maths are not only effective in decimal digital system but they are equally effective and capable in other digital systems. In this study, in 16-digital system of computer, discussion on multiplication process has been done on the basis of usefulness of formulations and subformulations of Vedic maths. Here, multiplication of number of more than one digit has been explained with examples.

016080   Huang J C (Dep of General Edu, Kuang Wu Inst of Technol, Peito, Taipei,Taiwan, 11271, R.O. China) : Convergence and stability of iterative procedures with errors for a couple of Quasi-contractive mappings in q-uniformly smooth branch spaces. Far East J mathl Sci 2003, 10(2), 121-46.

Let E be a q-uniformly smooth Banach space, 1 <60> q <60> ∞, and let C be a nonempty closed convex subset of E. Stbility of the Ishikawa-type iterative process with errors approximating common fixed points for a couple of quasi-contractive mappings T1, T2 : C → C is proved. It is shown that the boundedness requiement imposed on the subset C in a recent result can be ommited. The results extend, improve and unify some recent results.

17 ref

016079   Hassler W (Dep of Math and Statists, Univ Nebraska Lincoln, 831 Oldfather hall Lincoln, NE 68588-0323, U.S.A.) : A note on half-factorial subsets of finite cyclic groups. Far East J mathl Sci 2003, 10(2), 187-97.

Half-factorial subsets of finite cyclic groups have been studied. It has been shown that all sets in the form {d + kZ} <124> d divides k and d is "sufficiently" small} ⊂ Z/kZ are half factorial. This result has been used to give a characterization for which r ∈ N the set {i + kZ <124> 1 ≤ i ≤ r} ⊂ Z/kZ is half factoria.

12 ref

016078   Deng C (NO, , ) : The best numerical solution of a kind of operator equations. Far East J mathl Sci 2003, 10(2), 231-9.

The best numerial solution of a kind of operator equations has been given by using reproducing kernel of reproducing kernel spaces, the error of which is monotone decreasing in norm of the space, and the approximatge solution has characteristic of minimum modulus. It is proved that when there exists a solution, approximate solution must exist and converges uniformly under the classical sense. Solutions of the equation must exist when approximate solution converges. A valued method for solving some integral equations and differential equations has been provided.

4 ref

016077   Al-Kasasbeh F (Dep of Math and Statists, Fac Sci, Mu'tah Univ, Jordan) : New fixed point theorems. Far East J mathl Sci 2003, 10(2), 199-208.

Relatively new generalized definitions are introduced such as a GPM-space, and a generalized SB-contraction mapping. Certain results concerning fixed points are obtained.

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016076   Adachi Y (NO, , 12-29 Kurakuen 2ban-cho Nishinomiya Hyogo 662-0082, Japan) : Nondegenerate entire maps of C<. Far East J mathl Sci 2003, 10(2), 163-86.

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015163   Weiyi Z (College of Mathematics, Physics and Information Science, Zhejiang Normal University, Jinhua, Zhejiang, P.R. China) : On the general Gauss sums and its fourth power mean. Far East J mathl Sci 2003, 10(3), 241-6.

Studies the asymptotic property of the fourth power mean of the general Gauss sums, and give an interesting asymptotic formula.

5 ref

015162   Sujivrathau N S (Govt Ay Coll, , Puthiyakaru, Tripunithura-682 301) : Formulae for the lateral surface area of a square pyramid. Appl Sci Period 2004, 6(1), 41-50.

015161   Selva Kumar R;Balasubramani P (Comp Sci Dep, Kongu Engng Coll, Perundurai, Erode-638 052) : Existence of minimal trellis for kernal codes. Appl Sci Period 2004, 6(1), 41-3.

Existence theorem of minimal trellis for kernel code is proved by using the definition of Kernel code and its algebraic properties.

5 ref

015160   Sadegheih A (Dep of Industrial Engineering, Univ of Yazd, P.O.Box 89195-741 Yazdm Iran) : Optimisation using simulated annealing and evolutionary algorithms. Far East J mathl Sci 2003, 10(3), 247-54.

Simulated annealing is an intelligent approach designed to give a good through not necessarily optimal solution, within a reasonable computation time. The motivation for simulated annealing comes from analogy between the physical annealing of solid materials and optimisation problem. Evolutionary algorithms are computer-based problem-solving systems based on principles of evolutionary theory. A variety of evolutionary algorithms have been developed and they all share a common conceptual base of simulating the evolution of individual structures via processes of selection, mutation and recombination. The processes depend on the perceived performance of the individual structures as defined by an environment. Presents the optimal design of inspection station in manufacturing systems. The task is to determine the optimal settings of the production parameters to minimise a cost function. Two artificial intelligence techniques, evolutionary algorithms and simulated annealing are proposed to search for solutions to these optimisation problems. The performance of each technique is studied and the results compared with these from conventional methods.

4 tables, 12 ref

015159   Kong D A;Kim Y H (Dep of Finance and Insurance, Changwon National Univ, Changwon 641-773, Korea) : On certain new integral inequalities for continuous functions. Far East J mathl Sci 2003, 10(3), 301-8.

Establishes explicit bounds on certain integral inequalities of the type of Gronwall and its two independent variable generalization. Some applications are also given to illustrate the usefulness of one of the results.

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015158   Kim B J (Dep of Mathematics, Daejin Univ, Pocheon 487-711, Korea) : An integral equation for the operator valued fuction space integral. Far East J mathl Sci 2003, 10(3), 309-21.

In [Nagoya math. j.51 (1973), 91-122] and [Proc.London soc. 27 (1973), 345-360], cameron and Storvick established the existence of the operator valued function space integral as an operator form L₁ to L_{∞ for certain functional of the form F(x)= exp<198>∫^T0θ(s ,x(s))ds<198> to solve an integral equation formally equivalent to Schrodinger's equations. In [J.Math.Anal.50 (1975), 647-667], Johnson and Skoug obtained similar results to those in [Proc. London Math.Soc. 27 (1973), 345-360] with reduced restriction on θ. In [Nagoya Math. J 51 (1973), 91-122], Cameron and Storvick treated the operator valued function space integral as an L(L1(R), L∞(R) theory involving the potential functions of the form F(x) = exp<198>∫^T0∫<^ >T0θ(s,t,x(s), x(t))dsdt<198>. Obtains an integral equation for the operator valued functions space integral as a new result for the functional of the form F(x) = exp<198>∫^T0∫<^ >T0θ(s,t,x(s), x(t))dsdt<198>, which is formally related to the Schrodinger equation.}

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015157   Jamil M S (Information Technol Dep, College of Technol, Qatar) : Relative study on boolean and fuzzy. Appl Sci Period 2004, 6(1), 36-40.

Fuzzy logic has been introduced from a mathematical perspective, tracing its origins, stating its characteristics and finally illustrating with examples, its set theories and logic operations.

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015156   Irmak H;Raina R K;Owa S (Dep of Mathematics, Akdeniz Univ, 07058-Antalya, Turkey) : Certain results involving inequalties on analytic and univalent functions. Far East J mathl Sci 2003, 10(3), 359-66.

Presents two theorems involving certain inequalities on analytic and univalent functions which are starlike and convex in the unit disc U. Interesting consequences of main results are alos pointed out.

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015155   Irmak H;Owa S (Dep of Mathematics, Akdeniz Univ, 07058-Antalya, Turkey) : Certain inequalities involving analytic and univalent functions. Far East J mathl Sci 2003, 10(3), 353-8.

Presents a theorem involving inequalities on analytic and univalent functions which are close-to-convex, starlike and convex in the unit disc U. Interesting consequences of main results are also pointed out.

6 ref

015154   Hayashi M (Dep of Mathematics, college of Science and Technology, Nihon Univ, 7-24-1 Narashinonai Funabashi-shi Chiba 274-8501, Japan) : On the Local Center of generalized lienard-type system. Far East J mathl Sci 2003, 10(3), 265-83.

Necessary and sufficient conditions for generalized Lienard-type systems x^.<61>y, y^.<61>-fn(x)y^p-(x+gq(x)) to have a local center are given, where fn(x) and gq(x) are real analytic functions.

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015153   Gudadhe A S (Matj dep, Govt Vidarbha Inst of Sci and Humanities, Amravati-444 604) : Generalized functions and wiener's process. Appl Sci Period 2004, 6(1), 30-5.

The concept of generalized functions is used to develop the Wiener's Proces and Gaussain White Noise. Using the generalized derivative some properties of Wiener's process are proved. Its application is given to solve differential equation.

9 ref

015152   Emara S A A (Directorate of Curricula Devlopment, Ministry of Education, P.O. Box 15662 Adliya 336 Manama, Kingdom of Bahrain) : Inequalities in weighted rearrangement invariant spaces. Far East J mathl Sci 2003, 10(3), 255-63.

Conditions on pairs of weight functions are obtained for the boundedness of an operator (Kf)(x)=∫^∞₀k(x,y)f(y)dy on certain rearrangement invariant spaces in terms of conditions on the kernal k(x,y). The results are applied to obtain weighted estimates for the Riemann-Liouville fractional integral operator, the Stieltjes transform, the Laplace transform and for some other cases.

10 ref

015151   Deo S D (Math Dep, N.S. Sci Coll, Bhadrawati-442 902) : Axially symmetric bianchi-I vacuum solutions with background metric (II). Appl Sci Period 2004, 6(1), 44-6.

For an exially symmetric higher five dimensional Bianchi-I space-time ds² = dt² - e^2αdx²-e^2F128><98> (dy²+dz²+du²)

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015150   Arenas F G;Sanchez Granero M A (Area of Geometry and Topology Faculty of Science, Universidad de Almeria, 04120 Almeria Spain) : Completeness in GF-spaces. Far East J mathl Sci 2003, 10(3), 331-51.

Studies different notions of completeness in GF-spaces including left K-completeness, bicompletness, convergence completeness, half-completeness, right K-sequentially completness and some others introduced by the authors.

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015149   Afrouzi G A;Khaleghy Moghaddam M (Dep of Mathematics Faculty of Basic Sciences, Mazandaran Univ, Babolsar, Iran) : Positive solutions for a class of semipositone problems with Neumann-Robin boundary conditions. Far East J mathl Sci 2003, 10(3), 285-99.

Considers the boundary value problem <205>-u"(x)=λ(u(x)), x∞(0,1) u'(0)=0 u'(1)+au(1)=0, where α<66>0 are parameters and fε c²[0,∞) such that f(0)<66>0. Studyies existence and multiplicity of positive solutions and, in partcular, notes the difference of results with respect to different α's.

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015148   Abel M (Institute of Pure Mathematics, Univ of Tartu, 2 Liivi Str., Room 614 50409 Tartu, Estonia) : Frechet algebras in which all maximal one-sided ideals are closed. Far East J mathl Sci 2003, 10(3), 323-9.

It is shown that all maximal (not only regular) one sided ideals are closed ideals and all maximal (not only regular) two sided ideals are closed prime ideals in fundamental (in particular, locally pseudoconvex) Frechet Q-algebras with uniformly bounded approximate identity.

16 ref

014161   Zhang X (Sch of Math and System Sci, Shandong Univ, Jinan, Shandong-250 100, People's Republic of China) : Second order impulsive differential equations of mixed monotone type on unbounded domains in banach. Indian J pure appl Math 2004, 35(3), 373-87.

A new coupled fixed point theorem for mixed monotone operators has been used to obtain an existence and uniqueness theorem of solutions of initial value problems for nonlinear second order impulsive differential equations of mixed monotone type on unbounded domains in Banach spaces and its application.

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014160   Xu M R;Shi B;Zhang D C (Dep of Basic Science, Naval Aeronautical Enging Inst, Yantai, Shandong-264 001, Peoples Republic of China) : Global behaviour of a discrete haematopoiesis model. Indian J pure appl Math 2004, 35(3), 273-83.

The difference equation: Δy_n=-αy_n + βy_n-k/1 + y^p_n-k has been studied and the global asymptotic stability and oscillation of the above equation, where α∈(0,1), β∈(α,∞), p∈(1,∞), and k is a nonnegative integer has been obtained.

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014159   Wafi Abdul;Khatoon S (Dep of Math, Jamia Millia Islamia, Jamia Nagar, New Delhi-110 025) : On the order of approximation of functions by generalized baskakov opertors. Indian J pure appl Math 2004, 35(3), 347-58.

The order of approximation using modulus of continuity of f' and asymptotic behaviour of f over [0,<43>∞) for linear positive operator B_n^a(f,x) introduced by Mihesan have been established. Also a direct estimate is proved using Ditzian-Totik moulus of smoothness.

7 ref

014158   Sheo Kumar;Sangal A L (Dep of Appl Math, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar-144 011) : Numerical solution of singular integral equations using cubic spline interpolations. Indian J pure appl Math 2004, 35(3), 415-21.

Product integration methods using cubic spline interpolations have been obtained for real one dimensional singular integral equations of the second kind with Cauchy type kernels and index equal to 1. The representation p_j(x)=a_j + b_j(x-x_j) + c_j(x-x_j)² + d_j(x-x_j)³, x_j≤x≤x_j+1, j = O(1) n - 1, has been used for approximating the unknown function for obtaining the numerical method.

1 table, 12 ref

014157   Kim J S;Tripath M M;Choi J (Dep of Math Edu, Sunchon National Univ, Sunchon-540 742) : Ricci curvature of submanifolds in locally conformal almost cosymplectic manifolds. Indian J pure appl Math 2004, 35(3), 252-71.

Certain inequalities involving several intrinsic invariants namely scalar curvature, Ricci curvature and <75>-Ricci curvature, and main extrinsic invariant namely squared mean curvature for submanifolds in a locally confarmal almost cosymplectic mainifold with pointwise constant φ-sectional curvature have been obtained. Applying these inequalities several inequalities are obtained for slant, invariant, anti-invariant and CR-submanifolds. the equality cases are also discussed.

12 ref

014156   Huang B (NO, Inst of Math and Statistics Sci, Wuhan Univ, Hubei-430 072, People's Republic of China) : On the unicity of meromorphic functions that share four values. Indian J pure appl Math 2004, 35(3), 359-72.

The uniqueness of meromorphic functions that share three values IM and a fouth value CM is investigated, and the open question "if two nonconstant meromorphic functions share three values IM and a fourth value CM, then do the functions share all four values CM?" is partly resolved.

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