In this paper we study stability and boundedness of the nonlinear diference equation x(t + 1) = a(t)x(t) + c(t)∆x(t − g(t)) + q(x(t), x(t − g(t)) .In particular we study equi-boundedness of solutions and the stability of ...

We prove the existence of solutions for the neutral periodic integro-diferential equation with infnite delay x 0 ( t) = G(t, x(t), x(t − τ (t))) + d dt Q(t, x(t − τ (t))) + Z t −∞ Xn j=1 gj (t, s) x(t + T) ...

This thesis is concerned with the qualitative properties of solutions of neutral functional differential equations, neutral functional difference equations and dynamic equations on time scale. Some of the equations are of ...

We obtain sufficient conditions under which solutions of certain classes of totally nonlinear neutral delay difference equations are periodic. A reformulated version of a fixed point theorem of Krasnoselskii is used to ...

We study the existence of positive periodic solutions of a system of neutral diferential equations. In the process we construct two mappings in which one is a contraction and the other compact. A Krasnoselskii’s fixed point ...

We use Krasnoselskii’s fxed oint theorem to obtain suffcient conditions for the existence of a positive periodic solution of the neutral delay difference equation x(n + 1) = a(n)x(n) + c∆x(n − τ ) + g(n, x(n − τ ))

In this article we consider the existence of positive solutions of a system of periodic neutral diference equations. The main tool employed is the Krasnosel’skii’s fxed point theorem for the sum of a completely continuous ...

We study the asymptotic stability of the zero solution of the Volterra difference delay equation x(n + 1) = a(n)x(n) + c(n)∆x(n − g(n)) +nX−1s=n−g(n)k(n, s)h(x(s)). A Krasnoselskii fxed point theorem is used in the analysis