**Vol. 5, No. 1, July 2011**

**Contents**

**Title:** **Dependance of Solution of Difference Equation on Initial Conditions and Parameters**

**Author:** K.L. Bondar

**Abstract:** In this paper we consider the problem of continuity of solutions *x*(*t*, *t*_{0}, *x*_{0}) of system

Δ *x*(*t*)= *f*(*t*, *x*(*t*)), *x*(*t*_{0})= *x*_{0}, *t*_{0 }>= 0,

with respect to the initial values (*t*_{0}, *x*_{0}).

**PP.** 1-6

**Title:** **Free Actions on Semiprime Gamma Rings**

**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.

**PP.** 7-14

**Title:** **Certain Properties of Mixed Super Quasi Einstein Manifolds**

**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

**PP. **15-26

**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.

**PP. **27-33

**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.

**PP.** 34-45

**Title:** **Intuitionistic Fuzzy Sets in Ordered Г-Semigroups**

**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.

**PP.** 46-56

Copyright 2010-2015 GENERAL MATHEMATICS NOTES. All rights reserved.