Positive periodic solutions of nonlinear functional difference equations

In this paper, we apply a cone theoretic fixed point theorem to obtain sufficient conditions for the existence of multiple positive periodic solutions to the nonlinear functional difference equations $$ x(n+1)=a(n)x(n)pm lambda h(n) f(x(n-au(n))). $$

Bibliographic Details
Main Author: Youssef N. Raffoul
Format: Article
Language:English
Published: Texas State University 2002-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/55/abstr.html
Description
Summary:In this paper, we apply a cone theoretic fixed point theorem to obtain sufficient conditions for the existence of multiple positive periodic solutions to the nonlinear functional difference equations $$ x(n+1)=a(n)x(n)pm lambda h(n) f(x(n-au(n))). $$
ISSN:1072-6691