Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations

Tieshan He, Yimin Lu, Youfa Lei and Fengjian Yang

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-14

Abstract:

This paper is concerned with the existence of nontrivial periodic solutions and positive periodic solutions to a nonlinear second-order difference equation. Under some conditions concerning the first positive eigenvalue of the linear equation corresponding to the nonlinear second-order equation, we establish the existence results by using the topological degree and fixed point index theories.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:153082

DOI: 10.1155/2011/153082

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