ISA

Global existence of partial differential equations with parameter in Hilbert space
Kajiwara J;Li X D;Shon K H

006264   Kajiwara J;Li X D;Shon K H (Graduate Sch Math, Kyushu Univ, 33 Fukuoka-812-8581, Japan) : Global existence of partial differential equations with parameter in Hilbert space. Far East J mathl Sci 2003, 11(3), 253-67.

A complex locally convex space of sequences of complex numbers s = ( s1, s2,..., sn, ...), which is either equipped with the finite open topology or the norm <157><157> s <157><157> := √ <157> s1 <157><^>2 + <157> s2 <157><^>2 + ...+ <157> sn <157><^>2 + ... <60> + ∞. Global existence of a holomorphic solution ƒ of a system Tƒ = g of linear partial diferential equations of order p for any g holomorphic in a pseudoconvex domain Ω in the product space C<^>p s S of the space C<^>p of p complex variables z = (z1, z2,..., zp) and the space S of complex parameter s = (s, s2, ..., sn, ...).

39 ref

Equivalence intuitionistic fuzzy matrix and idempotent
Jeong N G;Park S W

006263   Jeong N G;Park S W (Math Dep, Seonam Univ, Namwon, Chonbuk-590 711) : Equivalence intuitionistic fuzzy matrix and idempotent. Far East J mathl Sci 2003, 11(3), 355-65.

Using the idea of "intuitionistic fuzzy set the concept of intuitionistic fuzzy matrices as a natrural generalization of fuzzy matrices has been defined. Further, the determinant theory for square intuitionistic fuzzy matrices has been introduced and studied. The period of powers of square intuitionistic fuzzy matrices has been investigated and some results for the equivalence intuitionistic fuzzy matrix and idempotent have been given.

9 ref

Between closed sets and g-closed sets
Hatir E;Erdogan A

006262   Hatir E;Erdogan A (NO, Selcuk Universitesi Egitim Fakultesi Matematik Bolumu 42090, Konya-Tur, ) : Between closed sets and g-closed sets. Far East J mathl Sci 2003, 11(3), 289-301.

A new class of sets called Cg-closed sets, which is situated between the class of closed sets and g-closed sets have been introdued. Using these sets, two new separation axioms called T<^>c1/2 and <^>cT1/2 (both T<^>c1/2 and <^>cT1/2 contain the class of T1/2 spaces and are contained in that of β-T1/2). It has been shown that the class of <^>cT1/2 spaces is the dual of the class of T<^>c1/2 spaces to the class of T1/2 spaces. Cg-continuous and Cg-irresolute functions for preservation theorems have been introduced.

10 ref

Note on krull-dimension
Gorjizadeh V

006261   Gorjizadeh V (Math Dep, Chamran Univ, Ahvas, Iran) : Note on krull-dimension. Far East J mathl Sci 2003, 11(3), 277-80.

It is shown that in rings with Krull-dimension whose factor rings are classical. Each maximal ideal is finitely generated. This generalizes a similar result of Beachy and Weakely which they proved for commutative rings. This in particular shows that there is a large class of non-Noetherian rings in which each maximal ideal is finitely generated.

4 ref

Multiobjective evolutionary algorithms application in eigenstructure assignment
Farshadnia R

006260   Farshadnia R (Math Dep, Tripura Univ, Agartala-799 004) : Multiobjective evolutionary algorithms application in eigenstructure assignment. Far East J mathl Sci 2003, 11(3), 327-35.

The multiobjective evolutionary algorithms (MOEAs) have been applied to various real-world problems in a variety of fields. it is well known that eignenstructure assignment is a valuable technique for the design of control systems. The optimization, and in particular MOEAs can be used to incorporate many objectives into the design approach. The designer may specify precise locations for eigenvalues, and the composition of associated eigenvectors. Often it is not necessary that the system eigenvalues or eigenvectors realize these precise targets, but rather attain values near to these targets. In the eigenstructure assignment approach. Precise points for eigenvalue assignment have been specified, and the eigenvalues to be realized at points close to these desired locations have been allowed and a special Multiobjective Genetic Algorithm (MOGA) has been used to solve the model.

1 illus, 1 table, 5 ref

K-functional and fourier inequalities in weighted L<
Emara S A A

006259   Emara S A A (Directorate of Curricula Development Ministry of Education, , P.O. Box 15662, Adliya 336 Kingdom of Bahrain) : K-functional and fourier inequalities in weighted L<. Far East J mathl Sci 2003, 11(3), 311-26.

Conditions on pairs of functions for which the Peetre K-functionakl K(t, Tƒ;.) is bounded between weighted Lorentz spaces have been given. Also weighted Gourier inequality on weighted Lorentz spaces has been sepqrately established.

14 ref

Characterizations of rational and t-rational estensions
Cho Y U

006258   Cho Y U (Mathematics Dep, Silla University, Pusan 617 736, Korea) : Characterizations of rational and t-rational estensions. Far East J mathl Sci 2003, 11(3), 337-46.

The concepts of rational extensions, essential extensions, t-rational extension, t-essential extension, t-torsion and t-torsionfree modules have been indroduced. Some characterizations of rational and t-rational extensions of modeles have been described, and the forms of t-rational extensions of given t-torsionfree module for a left exact radical t have been determined and the maximal t-rational externsions of modules.

7 ref

Fuzzy closed-complete spaces
Bhaumik R N

006257   Bhaumik R N (Math Dep, Tripura Univ, Agartala-799 004) : Fuzzy closed-complete spaces. Far East J mathl Sci 2003, 11(3), 347-54.

A new class of fuzzy topoloical spaces, called fuzzy closed-complete spaces, is introduced. Several properties of these spaces and their relationship with other fuzzy topological spaces are studied.

10 ref

Description of the canonical resoultions of th e4-Dimensional An-singularities
Alexiou D;Alwadi Y

006256   Alexiou D;Alwadi Y (NO, Technological Educational Inst of Thessaloniki, 107 Mitropoleos Street 54622 Thessaloniki Greece) : Description of the canonical resoultions of th e4-Dimensional An-singularities. Far East J mathl Sci 2003, 11(3), 375-83.

The 4-dimensional An-singularities over a field of positive characteristic have been considered. The cononical resolutions X or these signularities have been vonstructed by giveng a full description of the exceptional loci E = E1 + ... + Em (Ei the smooth irreducible components) by the isomorphic types of Eii. Ej in the chowring A.(x) have been found, i.e., the graphs of Ri have been determined.

10 ref

Semi-orthogonality property for the jacobi polynomials and computation of special functions
Abbas S H

006255   Abbas S H (Math Dep, Univ of Bahrain, P.O. Box 32038 State of Bahrain) : Semi-orthogonality property for the jacobi polynomials and computation of special functions. Far East J mathl Sci 2003, 11(3), 367-73.

A new semi-orthogonality property for Jacobi polynomials is given with an elementary weight function along with its applications. Expansions of Jacobi polynomials are also discussed. Finally, computation of the values of the special function ƒ(n,a) is considered.

3 ref

Remark on Moore's theorem
Zulfikar Ali M;Majedur Rahman M

000103   Zulfikar Ali M;Majedur Rahman M (Mathematics Dep, Rajshahi University, Bangladesh) : Remark on Moore's theorem. Acta Cienc Indica-Math 2003, 29(2), 225-8.

R.E. Moore considered the existence and uniqueness for the solution to nonlinear systems of n equations in n unknowns, using interval version of Newton's Method and has given an existence and uniqueness theorem for the solution. It has been shown by an example that for n = 1, i.e., for a nonlinear polynomial equation of third degree with a unique real root, Moore's conclusions do not hold fully.

3 ref

Saturation orders of approximation processes involving fourier-trigonometric series
Yadav S P

000102   Yadav S P (Mathematics/Computer Application Dep, Model Science College, A.P.S. Univ, Rewa, M.P.) : Saturation orders of approximation processes involving fourier-trigonometric series. Acta Cienc Indica-Math 2003, 29(1), 195-200.

A nonnegative function Q(n), n ∈ Z which decreases monotonely to zero as n → ∞, has been considered to be the order of approximation of some processes involving Fourier-trigonometric series. The necessary and sufficient condition on Q(n) has been investigated to get it as Saturation order.

4 ref

Collinear equilibrium points in Robe's generalised restricted three body problem
Yadav N P;Ishwar B

000101   Yadav N P;Ishwar B (University Dep of Math, B R A Bihar University, Muzaffarpur-842 001) : Collinear equilibrium points in Robe's generalised restricted three body problem. Bull Calcutta Mathl Soc 2003, 95(2), 147-50.

Equations of motion of Robe's generalized restricted three body problem have been found. The problem is generalised in the sense that the second primary is supposed to be radiating. The equation of motion are different from Robe. It is affected by radiation of the primary. The particular solutions of the problem, namely, collinear equilibrium points have been found.

6 ref

g*-semi-closed sets in topology
Veera Kumar M K R S

000099   Veera Kumar M K R S (P.G. Dep Math, J.K.C. College, Guntur-522 006, Andhra Pradesh) : g*-semi-closed sets in topology. Acta Cienc Indica-Math 2003, 29(1), 81-90.

A new class of sets, namely g^* -semi-closed sets is introduced for topological spaces. As applications of g^* -semi-closed sets, four new spaces, namely ^*T_b spaces, T^*_b spaces, T^**_b spaces and _αT^*_b spaces are introduced. It is proved that a space is a T_b space (resp. T_1/2 space) if and only if it is a T^*_b and ^*T_b (resp. ^*T_b and _αT^*_b). g^*s-continuous functions and g^*s-irresolute functions have been introduced and studied.

20 ref

On equivalence of Arimito's entropy and its directed divergence
Varma S K;Trivedi H R

000098   Varma S K;Trivedi H R (Mathematics Dep, Govt Autonomous Science P.G. College, Bilaspur-495 001) : On equivalence of Arimito's entropy and its directed divergence. Acta Cienc Indica-Math 2003, 29(2), 289-94.

The equivalence of Arimito's entropy with Reny's Havrda and Charvat's entropy has been established.

7 ref

On measure of income inequality through Burg's entropy
Varma S K;Joshi K

000097   Varma S K;Joshi K (Mathematics Dep, Govt Autonomous Science P.G. College, Bilaspur-495 001) : On measure of income inequality through Burg's entropy. Acta Cienc Indica-Math 2003, 29(2), 287-8.

A measure of income inequality based on Burg measure of entropy which is analogous to Theils measures of economic inequality has been obtained.

5 ref

ξ-Horizontal hypersurfaces of Kenmotsu manifolds
Tripathi M M;Rajendra Prasad

000096   Tripathi M M;Rajendra Prasad (Dep of Math and Astronomy, Lucknow University, Lucknow-226 007) : ξ-Horizontal hypersurfaces of Kenmotsu manifolds. Bull Calcutta Mathl Soc 2003, 95(2), 121-6.

ξ-horizontal hypersurfaces of a Kenmotsu manifold are studied. It is shown that there always exists an introduced almost 2-contact metric structure on such hypersurfaces. It is proved that the fundamental 2-form of the induced almost 2-contact metric structure on the ξ-horizontal hypersurfaces of a Kenmotsu manifold is closed. It has also been shown that a totally umbilical ξ-horizontal hypersurfaces of a Kenmotsu manifold is always totally geodesic. A sufficient condition for the induced almost 2-contact structure to be normal is also found. Also some curvature properties of the ξ-horizontal hypersurfaces are discussed.

4 ref

Result on simple accessible rings
Suvarna K;Govindappa A

000094   Suvarna K;Govindappa A (Mathematics Dep, S.K. University, Anantapur-515 003 A.P.) : Result on simple accessible rings. Acta Cienc Indica-Math 2003, 29(1), 5-8.

It has been shown that an accessible ring R satisfies the identify ((w,x,y),z) = 0. Using this identity it has been proved that a simple accessible ring is a strongly (-1, 1) ring.

4 ref

On the asymptotic behaviour of solutions of the second order nonlinear neutral difference equations
Sundaram P

000093   Sundaram P (Mathematics Dep, Kandaswamy Kandar College, Namakkal, Velur-638 182) : On the asymptotic behaviour of solutions of the second order nonlinear neutral difference equations. Acta Cienc Indica-Math 2003, 29(1), 159-66.

Nonlinear neutral difference equation Δ²[x(n) - p(xn - τ)] + q(n)f(x(σ(n))) = 0 is considered when σ(n) <62> n. Sufficient conditions for the convergence to zero of nonoscillatory solutions are obtained.

19 ref