Vol. 5, No. 1, July 2011
Author: K.L. Bondar
Abstract: In this paper we consider the problem of continuity of solutions x(t, t0, x0) of system
Δ x(t)= f(t, x(t)), x(t0)= x0, t0 >= 0,
with respect to the initial values (t0, x0).
Authors: Kalyan Kumar Dey and Akhil Chandra Paul
Abstract: Let M be a semiprime Г-ring. We study on some mappings related to left centralizers, centralizers, derivations, (σ, τ)-derivations and generalized (σ, τ)-derivations which are free actions on semiprime Г-rings. If φ(x) = T(x)αx – xαT(x) for all x in M, α in Г is a mapping from M into M. Then we show that it is a free action. If F : M →M is a generalized (σ,τ)-derivation with associate (σ, τ)-derivation d, and a in F is a dependent element, then we also show that it is a dependent element of (σ+d). Furthermore, we prove that for centralizer f and a derivation d of a semiprime Г-ring M, φ = d◦f is a free action.
Authors: Ram Nivas and Anmita Bajpai
Abstract: In this paper we have defined mixed super quasi-Einstein manifold MS(QE)n which is more generalized form of Einstein manifold, quasi-Einstein manifold, generalized quasi-Einstein manifold and super quasi-Einstein manifold . In this paper it has been shown that MS(QE)n(n>3) is a MS(QC)n if it is conformally flat. Moreover, it is shown that MS(QC)n(n>3) is a conformally flat MS(QE)n and an example of mixed super quasi Einstein manifold is also given . Properties of the curvature tensor of in a conformally flat, projectively flat and conharmonically flat manifold have been discussed. It has also been shown that a totally umbilical hypersurface of a conharmonically flat MS(QE)n (n>3) is a manifold of mixed super quasi-constant curvature.
Author: R.Z. Humbataliyev
Abstract: In the paper we give definition of a generalized solution of boundary value problems for some fourth order operator-differential equations, and prove the existence of generalized solution of this problem by the coeffcients of the equations on the segment.
Authors: Shrabani Banerjee and Binayak S.Choudhury
Abstract: In the present work we construct a composite implicit random iterative process for a finite family of strictly pseudocontractive random operators and study the necessary and sufficient condition for the convergence of this process to a common random fixed point of a finite family strictly pseudocontractive random operators.
Author: S. Lekkoksung
Abstract: We consider the intuitionistic fuzzification of the concept of several ideal in an ordered Г-semigroup, and investigate some properties of such ideals.
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