013186   Devi R;Muthukumaraswamy K;Bhuvaneswari K (Dep STOPWORD Math, Kongunadu Arts And Sci Coll, Coimbatore-641 029) : The group structure of gα<. Bull Allahabad Mathl Soc 2004, 19, 109-26.

Concept of gα^# -closed sets in topological spaces has been introduced and its characterization studied. gα^# c-homeomorphism and their group strutture has been studied. A new class of functions called strongly gα^# -irresolute functions has been studied.

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013185   Das P;Rashid M M A (Dep STOPWORD Math, Jadavpur Univ, Calcutta-700 032) : Semi-g* -closed sets and a new separation axiom in the spaces. Bull Allahabad Mathl Soc 2004, 19, 87-98.

Concept of semi- g* -closed sets has been introduced and some of its properties have been analyzed in a space considered by Alexandroff. Where arbitrary union of open sets may not be open. A new separation axiom with the help of these sets which is named as semi- T_w axiom also has been interoduced.

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013184   Bonciocat A I;Zaharescu A (Universitat Bonn, Institut fur Angewandte Mathematik, Abt. fur Stochastik, 53115 Bonn, Wegelerstr. 6, Deutschland) : Irreducibility results for compositions of polynomials in several variables. Proc Indian Acad Sci-Mathl Sci 2005, 115(2), 117-26.

Explicit upper bounds for the number of irreducible factors for a class of compositions of polynomials in several variables over a given field. In particular, some irreducibility criteria are given for this class of compositions of polynomials.

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013183   Aiyer R G;Patra B S;Gandhi M;Dhameja P (ENT Head Neck Surgery Dep, Med Coll & S.S.G. Hosp, Vadodara) : Cervico-mediastinal mature cystic teratoma. Gujarat J Otorhinolar Head Neck Surg 2005, 2(2), 23-24.

A teratoma is a germ cell tumor derived from one or more of the three germ cell layers. Teratomas of the head and neck region are rare, most often found in the ovary or testis. Teratomas are typically congenital, arising from multiple tissue types foreign to the site from which it arises. In Teratomas the tissues are always derived from different embryonic germ layers. This tumor varies considerably in the differentiation and maturation of its involved tissues, with some lesions containing fingers, teeth, jawbone or diminutive skeletons, while others demonstrate no more than an admixture of various tissue types with no attempt at maturation or structural development They may contain tissues from all parts of the body, including brain, bone, cartilage, skin, lung, and the gastrointestinal tract. Here present a case of a 9 month old female child who presented at Sir Sayaji Rao General Hospital with a lump in the neck since birth with clinical and Radiological features suggestive of a huge cystic Teratoma. The mother had obstructed labour during the birth of this child for which caesarian section was performed. The Teratodermoid cyst was completely excised rendering the patient asymptomatic.

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013182   Ahmed S;Ahmed N (Dep STOPWORD Math, Goalpara Coll, Goalpara-783 101) : Magnetic effects on free convective and heat transfer flow through porous medium. Bull Allahabad Mathl Soc 2004, 19, 73-85.

Brief analysis of the problem of two dimensional free convective flow of a viscous incompressible fluid through a porous medium bounded by a uniformly moving long vertical wavy wall and a parallel flat wall under the influence of magnetic field has been presented. The solution consists of two parts: a mean part and a perturbed part. To solve the perturbed part, long wave approximation has been applied. To obtain the solution of the mean part, the well known approximation used by Ostrach has been utilised. The velocity profiles, temperature profile an the skin friction, heat transfer at the walls are demonstrated graphically for different values of the parameters involved. All numerical calculations are done with respect to air (P = 0.71).

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012099   Zedam L;Amroune A (Dep of Math, M'sila Univ, P O Box 166 Ichbilia, 28105, M'sila, Algeria, Email: lzedam@yahoo.fr) : Which role plays the condition of continuity (C) in the representation of involutive θ-valued M-<156> algebra. Far East J mathl Sci 2005, 18(3), 313-20.

It has been shown that in an involutive θ-valued <156> ukasiewicz-Moisil algebra (<156>, J, (ϕα)_α<174>J^o, (ψα)_α<174>J¹, n, N) monomorphic with an involutive fuzzy algebra P^~(E), the condition of continuity (for each α∈J^o, ^ β<60>α ψβ(X) = ϕ_α(x)) ...(C) is necessary.

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012098   Yang L (Sch of Appl Math, Guangdong Univ of Technol, Guangzhou, Guangdong 510090, P R China, Email: yanglping2003@126.com) : The equivalences between the convergence of ishikawa and mann iterative approximations for an asymptotically Φ-hemicontractive mapping. Far East J mathl Sci 2005, 18(2), 197-212.

Let E be a real Banach space and T be a multivalued asymptotically Φ-hemicontractive mapping. It is shown that the convergence of the Mann iterative set sequence of T is equivalent to the convergence of the Ishikawa iterative set sequence. The results presented extend the corresponding results of Rhoades of Solutz.

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012097   Wang L;Xie S L (Dep of Math, Kunming Teachers Coll, Kunming Yannan, 650 031, P R China, Email: WL64mail@yahoo.com.cn) : Convergence theorems for solutions to systems of Φ-accretive operator equations. Far East J mathl Sci 2006, 20(1), 21-31.

The strong convergence theorems for solutions to systems of Φ-accretive operator equations are obtained in real Banach spaces. The results improve and extend the recent corresponding results.

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012096   Venkatesan D;Sita Devi K (Dep of statistics, Annamalai Univ, Annamalainagar (Y.N.)) : Statistical models for wet-spell analysis. Ultra Scient phys Sci 2005, 17(2), 211-14.

Wet-spell analysis is an important part of rainfall analysis. The distribution of the length of wet-spells provides useful information on the temporal distribution of rainfall. This distribution has traditionally been modelled through different probability distributions. Compares three such models, namely, truncated poisson distribution, truncated negative binomial distribution and logarithmic series distribution.

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012095   Tulovsky V (Dep of Math, St. John's Univ, 300 Howard Ave, Staten Island NY 10301, USA, Email: tulovskv@stjohns.edu) : On the eigenfunctions and eigenvalues of the Schrodinger operator II. Far East J mathl Sci 2005, 18(3), 241-76.

A new method (similar to phase integral method) has been presented for finding approximation of the eigenfunctions and eigenvalues of the one-dimensional Schrodinger operator with asymmetric double-well potential.

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012094   Trtpathi V N;Pandey A K (Dep of Math, S.B.P.G. Coll, Baragoan, Varanasi) : On strong (E,q) (C,1) summability of Fourier series and its derived series. Ultra Scient phys Sci 2005, 17(2), 247-52.

Deals with one theorem on strong (E,q)(C,1) summability of Fourier series and another that of its derived series under very general condition. It generalizes a well known result on strong (E,1)(C,1) summability of Fourier series under certain condition due to Bhatia and Sachan.

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012093   Thakur S S;Khare R K (Dep of Appl Math, Govt Engng Coll, Jabalpur-482 011, Email: samajly_singh@fediffmail.com) : Fuzzy almost semi δ-pre continuous mappings. Ultra Scient phys Sci 2005, 17(2), 221-8.

The concept of fuzzy almost semi δ-pre continuous mappings have been introduced and some of its properties are studied.

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012092   Tchuenche J M;Nokoe K S (Dep of Math Sci, Univ of Agric, PMB 2240, Abeokuta, Nigeria, Email: jm_tchuenche@yahoo.ca) : Mathematical model and control of sars. Int J Mgmt Syst 2005, 21(3), 243-56.

To control mode of spread of the Severe Acute Respiratory Syndrome (SARS) is increasingly difficult. Mathematical models for the dynamics of the virus if well understood can be a useful tool that helps to understand the factors influencing their spread, and can therefore contribute in the design of rational strategies for the control. Presents a biological framework to investigate the spread of this syndrome by using several mathematical models that enable us to examine the processes and parameters which are critical in determining this rapid spread. The results are self consistent with reality and without any ambiguity, interpretation of the model equations yields concrete parameters to be given prominence in any control strategy.

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012091   Tchuenche J M (Dep of Math Sci, Univ of Agric, PMB2240, Abeokutta, Nigeria, Email: jmtchuenche@yahoo.com) : Mathematical analysis of Luboobi's Weevil model. Int J Mgmt Syst 2005, 21(3), 277-83.

Luboobi's model equations are subjected to a thorough mathematical analysis with the objective of computing the a priori estimates. The principal result shows that if the expected developmental period (age) of a weevil from egg to adulthood is large enough, then, one few grains will be infested. A sketch of the proof of the main theorem (existence and uniqueness) is given.

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012090   Tanabe H (Dep of Math, Shimane Univ, Matsue 690-8504, Japan, Email: htanabe@infosakyu.ne.jp) : Parallel isometric immersions and Kahler Frenet curves. Far East J mathl Sci 2006, 20(1), 1-19.

A characterization of all parallel immersions of a complex space from M_n(c; C) into a real space from M^~2n+p(c^~; R) by investigating some Frenet curves of order 2 on the submanifold M_n(c; C).

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012089   Sun J P (Dep of Appl Math, Lanzhou Univ of Technol, Lanzhou, Gansu, 730050, People's republic of China, Email: jpsun@lut.cn) : Positive solution for BVPs of fourth order difference equations. Indian J pure appl Math 2005, 36(7), 361-70.

By using Guo-Krasnosel's skii fixed point theorem in cone, the existence of positive solution for the following nonlinear fourth order boundary value problem Δ⁴ x(t-2) = a(t)f(x(t)), t∈[2,T], x(0) = x(T+2)=0, Δ²x(0) = Δ²x(T)=0, have been studied.

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012088   Ssebugenyi C S (Dep of Math, Makerere Univ, P.O. Box 7062, Kampala, Uganda, Email: ssebugenyis@math.ac.ug) : Impact of compressing insurance data on model calculations. Int J Mgmt Syst 2005, 21(3), 258-76.

Nationale Nederlanden (NN) is an Insurance company based in Rotterdam the Netherlands. NN arranges insurance contracts with companies for collective retirement insurance. There is a lot of Financial commitments involved. NN employs "an investment science tool called Embedded Value to manage its life insurance businesses. The calculation of the embedded value is very time consuming partly due to the bulkness and complexity of the insurance data involved. The main objective of the project is/was therefore to reduce the calculation time to have the possibility to run for instance more economical scenarios. Two methods that were used to compress this insurance data are (1) The use of model points (2) Sampling. The model point method worked well for the large contracts and the run time for the EVC model was reduced considerably. Sampling worked considerably well for small and medium size contracts. Run time (which depends on the sampling fraction) was also reduced considerably.

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012087   Srinivasa Rao A S R;Basu S;Basu A;Ghosh J K (Cent for Ecological Sci, Indian Inst of Sci, Bangalore-560 012) : Parametric models for incubation distribution in presence of left and right censoring. Indian J pure appl Math 2005, 36(7), 371-84.

When both left and right censoring are present in the data simultaneously, estimating the incubation distribution becomes difficult. Several parametric models have been introduced and these have been estimated by the method of moments. A numerical study explores the efficacy of the method.

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012086   Solanki D S (Dep of Math, Govt. Girls P.G. Coll, Kandawa) : Fixed point theorem of compatible and multivaiue maps. Ultra Scient phys Sci 2005, 17(2), 207-10.

Derives few results of common fixed point theorem of compatible and multivalued mappings. The paper is divided in three sections. In section some useful definition and results are given. In section established a common fixed point theorem for three pairs of compatible mappings which improve the theorem. After that this theorem is followed by two corollaries and in third section multivalued map of δ-Compatible and H-Compatible mapping.

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012085   Singh N P;Singh a K;Singh U;Singh A K (Dep of Math, C L Jain (P.G) Coll, Firozabad-283 203) : Effects of uniform magnetic field on squeeze film lubrication in human joints. Indian J pure appl Math 2005, 36(7), 385-402.

Study of squeeze film lubrication in human joints under the influence of uniform manetic field of small intensity has been dealt with. The transportation of synovial fluid in porous cartilaginous matrix deformed due to load has been evaluated to observe the transverse flux entering into intra-articular gap. A theory of two-phase mechanically interacting mixture is applied, following slip-condition of Rudraiah to represent the solid matrix and interstitial fluid of cartilage continuum so that a two-region flow model consisting of viscous fluid in the porous matrix and squeeze film lubrication with viscoelastic fluid between two approaching surfaces is considered. The effects of magnetic parameter and porosity factor on normal young, old and osteoarthritic synovial fluid on normal fluid velocity through cartilage, pressure and load carrying capacity for various parameters are discussed.

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012084   Singh M;Rajput A;Madan S R (Lecturer in Math, S.V. Polytechnic, Bhopal, Madhya Pradesh) : Total error synthesis of saptial-slider crank mechanism via binary coding concept. Ultra Scient phys Sci 2005, 17(2), 183-90.

Accurate synthesis of function/path generating mechanisms structural and mechanical error should be considered together, Although, it is desired that the total error should be small as for as possible in the entire range of function/path generation. And it is often required to control the total error in a certain region of function/path generation with the desired probability scheme. In other words the accuracy desired in this region is greater then the least squares accuracy. If the accuracy greater then least square is desired in a specified region of the operating rang of the mechanism with given probability scheme, then the weighted least squares method seems to be tailor-made for such problems. However no rational procedure is available in the literature which enables the selection of most proper 'weights' connected with desired probability. Encoding concept' of information theory is used to develop a weighted least squares method for the total errors synthesis of a spatial-slider crank mechanism in which the error is required to be specifically controlled in the prescribed region of the range of function generation. The application of approach is illustrated by numerical example.

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012083   Singh M;Rajput A;Madan S R (Lecturer in Math, S.V. Polytechnic, Bhopal) : Optimmum tolerance allocation of spatial four-bar RGGR mechanisms using residual method. Ultra Scient phys Sci 2005, 17(2), 165-72.

Output of function generator is always different than desired one due to existence of structural and mechanical error. It is always desired that a function generating mechanism is to be synthesized for a given maximum permissible error in output and the corresponding to tolerances in link lengths of mechanism are to be recommended. Proposes the application of method of residual for synthesising a four bar RGGR spatial mechanism for a given maximum permissible mechanical error and corresponding recommendation of tolerances in link lengths.

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012082   Singh A K (Dep of Math, C L Jain ( P G) Coll, Firozabad-283 203) : Effects of thermal diffusion on MHD free convection flow through a vertical channel. J Energy Heat Mass Transfer 2005, 27(2), 109-23.

Deals with the effects of thermal diffusion on unsteady free convection flow of an incompressible, homogeneous, electrically conducting, viscous fluid through a vertical channel consisting of semi-infinite parallel plates. The flow is considered under the influence of uniform magnetic field appliced normal to the flow. Using Laplace transform technique, the solutions for velocity, temperature and concentration fields are obtained. The expressions for the skin-friction, Nusselt number and Sherwood number are also derived. The effects of Soret number and schmidt number are also discussed. This asymptotic analysis in the form of series solution is an important tool to compare the degree of accuracy and to observe the effects of various parameters with those obtained through different approaches of numerical solutions.

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012081   Shukla A K;Sharma S K (NO, Kanpur Inst of Technol ROMA, Kanpur) : Squeeze film lubrication model for knee joint. Ultra Scient phys Sci 2005, 17(2), 309-17.

Theoretical analysis of squeeze film lubrication has been made for better understanding of the lubrication phenomenon of synovial joints. The appropriate mathematical model characterizing the biphasic nature of the articular cartilage as a immisible mixture of interacting continua: a linear elastic solid and viscous fluid and the non-Newtonion aspect (viscoeleastic fluid) of the lubricant is presented. The non linear momentum equations are linearize by the perturbation technique and obtained the approximate solution. Numerical results are obtained for fluid film pressure, load capacity, normal components of velocity and coefficient of friction. The load capacity is found to be higher in the present model compared with that of classical viscous lubrication. The influence of viscoelasticity is to increase the pressure distribution, load carrying capacity and coefficient of friction.

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012080   Shrivastava U K;Jaiswal M;Amit Soni (Govt., Girls P.G. Coll, Bilaspur (C.G)) : On the degree of approximation to a function of the class Lip (α, p), 0 <60> α <60> 1 and p <62> 1. Ultra Scient phys Sci 2005, 17(2), 275-80.

Finds that the order of approximation of a continuous 2 π periodic, function f belonging to class Lip (α, p) by [S, α_n] mean is of Jackson order if a suitable integrability condition is imposed upon the function φ_x(t).

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012079   Shrivastava K;Shrivastava K (Prof. of Math, S.N.G.P.G Coll, Bhopal, Madhya Pradesh, Email: kavitashri@yahoo.com) : On the stability of the diagonally additive mapping. Ultra Scient phys Sci 2005, 17(2), 322-24.

The stability problem of the functional equation 2^2(x+y)-1 f[x+y,x+y)=2^2x-1 f(x,x) + 2^2y-1 f(y,y) have been be investigated where f: R⁺ x R⁺ → E be a mapping and where E is a Banach space.

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012078   Sharma P (Dep of Appl Math and Computnl Sci, Shri G.S. Inst of Technol and Sci 23, Park Road, Indore-452 003) : Self similar isothermal expansion of magneto-hydrodynamic gas behind a spherical shock wave with self gravitation. Ultra Scient phys Sci 2005, 17(2), 267-74.

Self-similar power driven isothermal flow behind a spherical Shock has been discussed in a heterogeneous, magnetic, self- gravitating medium. The Shock radius, the density distribution and the internal heat generation are assumed to vary with some power of time. The variation of flow variables behind the shock with respect to distance have been displayed graphically and comparison has been made for the cases of presence and absence of magnetic field.

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012077   Shanmugam T N;Jeyaraman M P (Dep of Math, Anna Univ, Chennai-600 025, Email: shan@annauniv.edu) : Strongly Mocanu convex functions associated with the Dziok-Srivastava operator. Far East J mathl Sci 2006, 20(1), 49-57.

New class of strongly Mocanu convex functions of order γ and type (α, β) in terms of the Dziok-Srivastava operator. Certain inclusion properties has been introduced and studied.

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012076   Sato I (Oyama Natn Coll of Technol, , Oyama, Tochigi-323-0806, Japan, Email: isato@oyama-ct.ac.jp) : Bartholdi zeta functions of group coverings of digraphs. Far East J mathl Sci 2005, 18(3), 321-39.

Decomposition formula for the Bartholdi zeta function of a group covering of a digraph D has been defined. Furthermore, an L-function of D has been given a determinant expression of it has been given. As a corollary decomposition formula for the Bartholdi has been given zeta function of a group covering of D by L-functions of D has been obtained.

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012075   Sahleh H (Dep of Math, Guilan Univ, P O Box 1914, Rashat, Iran, Email: sahleh@guilan.ac.ir) : F-Neutralizer and V-trace of abelian topological groups. Far East J mathl Sci 2006, 20(1), 33-40.

Let F and V be some fixed abelian topological groups and right modules. Two classes, F-neutralizer and V-trace, in the category of topological groups which are closely related to the tensor product and continuous homomorphisms, respectively have been studied. F-neutralizer has been generalised.

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012074   Reddy P R S;Varalakshmi G (Professor of Statist, Univ of Sri Venkateswara, Tirupati, Andhra Pradesh) : Duality in multiobjective fractional programming problem involving ρ-convexity. Ultra Scient phys Sci 2005, 17(2), 299-305.

Derives necessary and sufficient conditions for a multiobjective fractional programming with respect to ρ-generalized convexity. In addition, weak and strong duality results are proved in this context.

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012073   Rajput A;Malhotra S K;Yadav A K;Solanki D S (Dep of Math, Sadhu Vaswani Coll, Sant Hirdaram Nagar, Bhopal-462 030) : Iterative algorithm of fixed point for finding approximate solutions to completely generalized strongly quasivariational inequalities for fuzzy mappings. Ultra Scient phys Sci 2005, 17(2), 235-40.

Constructs iterative algorithm, which includes many known algorithms as special cases to solve variational inequalities and quasivariational inequalities for fuzzy mappings, proves the convergence of the iterative sequences generated by this algorithm. The main results extend and improve the results of Noor⁷, Park and Jeong⁸, Park and Jeong⁹.

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012072   Ocalan O;Akin O (Fac of Sci and Arts Dep of Math, Afyon Kocatepe Univ, ANS campus 03200, Afyon, Turkey, Email: ozkan@aku.edu.tr) : Oscillations of higher-order of systems of difference equations. Indian J pure appl Math 2005, 36(7), 349-60.

Necessary and sufficient conditions for the oscillation of every solution of the system of difference equations Δ^ry_n+Py_n-k=0,n=0,1,2..., where P∈ R^sxs and k ∈ Z have been provided. Furthermore sufficient conditions for the oscillation of every solution of the system of difference queations Δ^ry_n+ Σ=1 ^mP_iy_n-k = 0, n=0,1,2..., where P ∈ R^sxs and k_i ∈ Z for i = 1, 2, ..., m have been proved.

8 ref

012071   Nokoe S K (Dep of Math and Computer Sci, Univ for Dev Stud, Navrongo Campus, P.O. Box 24, Navrongo, Ghana, Email: nokoe_biomaths@yahoo.uk) : Biomathematical modelling of stand growth:concepts, challenges or missing links. Int J Mgmt Syst 2005, 21(3), 225-242.

Stand growth refers to the cumulative changes over time in the dimension of group of trees constituting the stand. Modelling such phenomenon may be based on the single-tree distance dependent or distance-independent (Munro, 1974) or joint stand cumulative growth concepts (Nokoe, 1993), in addition to approaches utilising differential equations made popular by von Bertallanfy (1949, 1968) and others. The concept of time of passage addresses the movement of trees from one supposedly discrete class (of size) to another, and could be modelled approximately as a Markovian process (Horn, 1975; Leslie, 1945, 1948; Mervart, 1972). The difficulties with all these modelling approaches are compounded by several factors, which are of mathematical and non-mathematical nature. Effective stand growth modelling requires knowledge of actual ages of individual trees or long-term data, which are usually unavailable under tropical forestry setting. Furthermore, growth of trees is continuous and not discrete in nature questioning the rationale for discrete time steps required in Markovian processes. In addition, competition among different layers, stages and species of trees, and their interaction with time and environment provide elements that are completely beyond the limit of empirical information usually available. These complications recognise the need for intense Biomathematical efforts and inputs, as well as considering apporaches to modelling stand growth that incorporate stochastic elements and processes.

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012070   Nian S H;Yang L M;Liu Y;Wang T M (Dep of Appl Math, DaLian Univ of Technol, DaLian 116024, P R China, Email: niansihong@126.com) : Combinatorial identities from graphical enumeration of S<. Far East J mathl Sci 2005, 18(2), 179-95.

By using graphical enumeration of S⁽ⁿ⁾ -factors with k components, namely, graphical counting theory and methods based on N(G, k) have been given. A combinatorial formula of N(G, k) has been given and series of combinatorial identities have been presented finally, some identities on two kinds of Stirling numbers and classical identities on Fibonacci numbers have been gained.

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012069   Nasab A S;Mashinchi M (Shahid Chamran Tech Fac, , Kerman, Iran, Email: asoleimaninasab@yahoo.com) : Lattice structure of generalized fuzzy subgroups. Far East J mathl Sci 2006, 20(1), 101-20.

Concepts of a generalized fuzzy subgroup have been obtained. Several basic results for these concepts have been introduced. A complete lattice structure on the set of all generalized fuzzy subgroups of a given generalized group has been given. Some lattice properties has been provided.

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012068   Nagarajan A;Navaneetha Krishnan S (Dep of Math, V.O.C. Coll, Tuticorin, Tiruchirappalli-628 008) : Continuous monotonic decomposition of some special class of graphs. Int J Mgmt Syst 2005, 21(1), 91-106.

Concept of continuous monotonic decomposition was introduced by Paulraj Joseph and Gnanadhas. The graph G of size q = (n+1/2) is said to have a CMD if G can be decomposed into n-subgraphs G₁,G₂, ...., G_n such that each G_i is connected and <157>E(G_i)<157> = I for 1 ≤ i ≤ n-1. Investigates CMD for some special class of graphs, namely G x K₂, W_n+1 and G⁺.

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012067   Mizuno H;Sato I (IOND Univ Japan, , 2-35-15, Kouenjiminami, Suginami, Tokyo 166-0003, Japan) : On the tree-degree polynomial of a regular covering of a graph. Far East J mathl Sci 2005, 18(2), 141-54.

Tree-degree polynomial of a graph G has been considered a generalization of Northshield's Theorem on the complexity of G has been presented. Furthermore an explicit formula for the tree-degree polynomial of a regular covering H of G has been given in terms of that of G and a product of determinants over the all distinct irreducible representations of the covering transformation group of H.

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012066   Marhoune A L;Bouzit M (Departement de Mathematiques Laboratoire Equations differentielles Fac, Universite Mentouri Constantine, 25000 Constantine, Algeria, Email: Bouzit_med@yahoo.fr) : High order differential equations with integral boundary conditions. Far East J mathl Sci 2005, 18(3), 341-50.

Problem for a high-order differential equation with nonclassical boundary condition has been studied. The existence and uniqueness of the strong solution in a functional weighted Sobolev space has also been established. The proof is based on two sided a priori estimates and the fact that the range of the operator generated by the considered problem is dense.

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012065   Maeda S;Adachi T (Dep of Math, Shimane Univ, Matsue, Shimane 690-8504, Japan, Email: smaeda@riko.shimane-u.ac.jp) : Complex space forms and geodesics on their geodesic spheres. Far East J mathl Sci 2005, 18(3), 277-84.

Among Kahler manifolds author has characterized complex space forms by paying attention to extrinsic shapes of some geodesics on their geodesic spheres.

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012064   Luboobi L S;Namusoke S S;Mugisha J Y T (Dep of Math, Makerere Univ, P.O. Box 7062, Kampala, Uganda, Email: luboobi@sci.mak.ac.ug) : Modelling pulse-type immune system response to human immunodeficiency virus (HIV). Int J Mgmt Syst 2005, 21(3), 214-224.

HIV is a very tricky virus. It infects the very T-cells that would otherwise eliminate the infected cells. The immune system has to keep on producing the T-cells to replace those that get infected by the HIV. Thus the immune system gets very much strained and when it fails to keep up with the HIV pressure Acquired Immunodeficiency syndrome (AIDS) sets in.

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012063   Lee S K (Dep of Math Educ and RINS, Gyeongsang Natn Univ, Jinju 660-701, Korea, Email: sklee@gsnu.ac.kr) : On regular semigroups. Far East J mathl Sci 2005, 18(2), 223-7.

Iseki characterized a regular semigroup in terms of right ideals and left ideals. Lajos and Szasz characterized regular semigroups in terms of right ideals and bi-ideals. These are characterised in terms of bi-ideals and t-ideals and some properties of regular subsemigroups have been obtained.

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012062   Lario J C;Masdeu M (Faculttat de Mathematiques Aplicada II, Universitat Politecnica De Catalunya, Cl. Pau, Gargallo 5 E-08028, Barcelona) : A note on dihedral polynomials of prime degree. Indian J pure appl Math 2005, 36(6), 295-300.

An algorithm has been presented to determine all roots of a prime degree p polynomial with dihedral Galois group D as rational functions of any two of them. this must be seen as an effective version of a more general result of Galois valid for prime degree equations with solvable group.

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012061   Kwon Y I (Dep of Math Educ, Gyeongsang Natn Univ, Chinju (Jinju) 660-701, Korea, Email: yikwon@nongae.gsnu.ac.kr) : On the filters generated in poe-Γ-semigroups. Far East J mathl Sci 2005, 18(2), 213-21.

Some classes of ordered Γ -semigroups in which the filters generated by elements have the forms N(a) = {b ∈ M <157> exaxe ≤ exbex} and N(a) = {b ∈ M <157> a ≤ exb, x ∈ Γ}.

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012060   Kim Y S;Lee C H (Dep of Math Wonkwang Univ, , Iksan 570-749, Korea, Email: yspkim@wonkwang.ac.kr) : On q-saalschutz's summation theorem. Far East J mathl Sci 2005, 18(2), 137-40.

Two results closely related to the q-Saalschutz's summation theorem have been obtained. When q→1 two results closely related to the Saalschutz theorem for the series ₃F₂ obtained earlier by Arora and Rathie.

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012059   Kim C B (Dep of Math, Kookmin Univ, Seoul 136-702, South Korea) : On the quotient incline algebras by fuzzy normal ideals. Far East J mathl Sci 2005, 18(3), 285-303.

A fuzzy coset of a fuzzy ideal has been defined in an incline algebra, and define and a quotient incline algebra of fuzzy cosets of a fuzzy normal ideal has been studied. Also the relations between the quotient incline of all equivalence classes determined by an ideal and quotient incline of fuzzy cosets of a fuzzy normal ideal have been investigated.

17 ref

012058   Khairnar S M;More N H (Dep of Math, Anuradha Engng Coll, Chikhli, Buldana-443 201, Email: smkhairnarl23@rediffinail.com) : On certain classes of Koebe type functions. Ultra Scient phys Sci 2005, 17(2), 195-202.

Deals with the n-fold Koebe type symmetric function f_b(Z)=Z/(1-Zⁿ)^b+1(b+1≥0;n<198> N) and have obtain some properties and radial for univalence, strlikeness and convexity of the function f_b(z) on the lines of Miller, Mocanu and Reade and Mocanu².

7 ref

012057   Kang S G;Shi B (Dep of Basic Sci, Nav Aeronaut Engng Inst Yantai, Shandong 264001, P R China, Email: dtkangshugui@yahoo.com.cn) : Periodic solutions for delay difference equations. Far East J mathl Sci 2006, 20(1), 93-100.

Based on the fixed point index theory for a Banach space, nontrivial periodic solutions are found for delay difference equations of the from x_n+a = a_nx_n + h_nf(x_n-t(n)), n ∈ Z.

7 ref

012056   Kandasamy R;Periasamy K (Dep of Math, Inst of Rd and Transp Technol, Erode-638 316) : Effects of chemical reaction, heat and mass transfer on nonlinear MHD boundary layer flow over a wall of the wedge with heat source in the presence of suction. J Energy Heat Mass Transfer 2005, 27(2), 93-107.

An analysis is carried out to study the effects of chemical reaction, heat and mass transfer on non linear MHD boundary layer flow over a wedge with suction. The fluid is assumed to be incompressible, viscous, electrically conducting the Boussinesq. A magnetic field is applied transversely to the direction of the flow. Numerical solution for the steady MHD laminar boundary layer flow over a wall of the wedge with suction in the presence of species concentration and mass diffusion has been obtained by transforming the governing equations to nonlinear ordinary differential equations through similarity transformations and further utilizing R K Gill method. Numerical calculations up to third level of truncation are carried out for different values of dimensionless parameters of the problem under consideration. An analysis of the results obtained shows that the flow field is influenced appreciably by the strength of magnetic field, chemical reaction and suction at the wall of the wedge.

13 illus, 11 ref

012055   Jiacheng L (Dep of Math, Lishui Univ, Lishui-323000, Zhejiang, P R China) : Lipschitz estimates for fractional multilinear singular integral with variable kernels. Far East J mathl Sci 2006, 20(1), 41-8.

Lipschitz boundedness for a class of fractional multilinear operators on Lebesgue spaces, which is similar to the higher-order commutator fro the singular integral has been obtained. A simple way is obtained that is closely linked with a class of rough fractional integral operators.

13 ref