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Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations

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  • Yuhua Long

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.

Suggested Citation

  • Yuhua Long, 2014. "Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, March.
  • Handle: RePEc:hin:jnlaaa:359105
    DOI: 10.1155/2014/359105
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