Existence Theorems of Periodic Solutions for Second-Order Nonlinear Difference Equations

Abstract

In 1.1 , the given real sequences {pn}, {qn} satisfy pn T pn > 0, qn T qn for any n ∈ Z, f : Z×R → R is continuous in the second variable, and f n T, z f n, z for a given positive integer T and for all n, z ∈ Z×R. −1 δ −1, δ > 0, and δ is the ratio of odd positive integers. By a solution of 1.1 , we mean a real sequence x {xn}, n ∈ Z, satisfying 1.1 . In 1, 2 , the qualitative behavior of linear difference equations of type

Cite this paper

@inproceedings{Cai2008ExistenceTO, title={Existence Theorems of Periodic Solutions for Second-Order Nonlinear Difference Equations}, author={Xiaochun Cai and Jianshe Yu and Patricia J. Y. Wong}, year={2008} }