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Periodic Solutions with Minimal Period for Fourth-Order Nonlinear Difference Equations

Author

Listed:
  • Xia Liu
  • Tao Zhou
  • Haiping Shi
  • Yuhua Long
  • Zongliang Wen

Abstract

A fourth-order nonlinear difference equation is considered. By making use of critical point theory, some new criteria are obtained for the existence of periodic solutions with minimal period. The main methods used are a variational technique and the Linking Theorem.

Suggested Citation

  • Xia Liu & Tao Zhou & Haiping Shi & Yuhua Long & Zongliang Wen, 2018. "Periodic Solutions with Minimal Period for Fourth-Order Nonlinear Difference Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-7, May.
    • Handle: RePEc:hin:jnddns:4376156
    DOI: 10.1155/2018/4376156
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