Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations | Zendy

Tieshan He | Zendy; Yimin Lu | Zendy; Youfa Lei | Zendy; Fengjian Yang | Zendy

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Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations

Author(s) -

Tieshan He,

Yimin Lu,

Youfa Lei,

Fengjian Yang

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/153082

Subject(s) - mathematics , fixed point index , nonlinear system , eigenvalues and eigenvectors , degree (music) , order (exchange) , mathematical analysis , physics , boundary value problem , finance , quantum mechanics , acoustics , economics

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

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