Existence of periodic solutions for a 2nth-order difference equation involving p-Laplacian∗

نویسندگان

  • Xia Liu
  • Yuanbiao Zhang
  • Haiping Shi
  • Xiaoqing Deng
چکیده

By using the critical point theory, the existence of periodic solutions for a 2nth-order nonlinear difference equation containing both advance and retardation involving p-Laplacian is obtained. The main approaches used in our paper are variational techniques and the Saddle Point Theorem. The problem is to solve the existence of periodic solutions for a 2nth-order p-Laplacian difference equation. The obtained results successfully generalize and complement the existing ones.

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تاریخ انتشار 2013