Positive periodic solutions of higher-dimensional nonlinear functional difference equations

Abstract

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 higher-dimensional functional difference equations of the form:

\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$x(n + 1) = A(n)x(n) + \lambda h(n) f(x(n - \tau (n)),n \in Z$$\end{document}

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Keywords

positive periodic solution / difference equations / cone / fixed point theorem

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