Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations

We establish some new criteria to guarantee nonexistence, existence, and multiplicity of nontrivial periodic solutions of some semilinear sixth-order difference equations by using minmax method, Z2 index theory, and variational technique. Our results only make some assumptions on the period T, which...

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Bibliographic Details
Main Author: Yuhua Long
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/359105

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