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Existence theorems of periodic solutions for fourth-order nonlinear functional difference equations

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Abstract

By using of the critical point method, the existence of periodic solutions for fourth-order nonlinear functional difference equations 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 of fourth-order nonlinear functional difference equations. Results obtained generalize and complement the existing one.

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Authors and Affiliations

  1. Oriental Science and Technology College, Hunan Agricultural University, Changsha, 410128, China

    Xia Liu

  2. Packaging Engineering Institute, Jinan University, Zhuhai, 519070, China

    Yuanbiao Zhang

  3. Basic Courses Department, Guangdong Construction Vocational Technology Institute, Guangzhou, 510450, China

    Haiping Shi

Authors
  1. Xia Liu
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  2. Yuanbiao Zhang
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  3. Haiping Shi
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Correspondence to Haiping Shi.

Additional information

This project is supported by Specialized Research Fund for the Doctoral Program of Higher Eduction of China (Grant No. 20114410110002), National Natural Science Foundation of China (Grant No. 11171078) and Scientific Research Fund of Hunan Provincial Education Department (Grant No. 12C0170).

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Liu, X., Zhang, Y. & Shi, H. Existence theorems of periodic solutions for fourth-order nonlinear functional difference equations. J. Appl. Math. Comput. 42, 51–67 (2013). https://doi.org/10.1007/s12190-012-0640-2

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  • DOI: https://doi.org/10.1007/s12190-012-0640-2

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