Boundedness and stability in nonlinear delay difference equations employing fixed point theory

Abstract

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 the zero solution of this equation. Fixed point theorems are used in the analysis