Existence of Nonoscillatory Solutions of Second Order Nonlinear Neutral Difference Equations with a Forced Term

摘要

In this paper, necessary and sufficient conditions for nonoscilatory solutions of the forced secondorder nonlinear difference equation △(xn-pnxτ(n))+ f(n,xσ(n))=qn,n≥n0 are obtained by means of Krasnoselskii's fixed point theorem and discrete Arzela-Ascoli's theorem. The method and the results can easily be extended to higher order nonlinear neutral difference equations with forced term. Examples are included to illustrate the results.