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Periodic solutions of a 2nth-order nonlinear difference equation

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Abstract

In this paper, a 2nth-order nonlinear difference equation is considered. Using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of periodic solutions. Results obtained complement or improve the existing ones.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China

    Zhan Zhou & JianShe Yu

  2. Department of Mathematics, Wilfrid Laurier University, Waterloo, N2L 3C5, Canada

    YuMing Chen

Authors
  1. Zhan Zhou
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  2. JianShe Yu
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  3. YuMing Chen
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Corresponding author

Correspondence to Zhan Zhou.

Additional information

This work was partially supported by Specialized Fund for the Doctoral Program of Higher Eduction (Grant No. 20071078001), National Natural Science Foundation of China (Grant No. 10625104) and Natural Science and Engineering Reserach Council of Canada (NSERC).

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Zhou, Z., Yu, J. & Chen, Y. Periodic solutions of a 2nth-order nonlinear difference equation. Sci. China Ser. A-Math. 53, 41–50 (2010). https://doi.org/10.1007/s11425-009-0167-7

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  • DOI: https://doi.org/10.1007/s11425-009-0167-7

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