Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations

Yuhua Long

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

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, index theory, and variational technique. Our results only make some assumptions on the period , which are very easy to verify and rather relaxed.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:359105

DOI: 10.1155/2014/359105

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