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Multiple Anti-Periodic Solutions to a Discrete Fourth Order Nonlinear Equation

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Abstract

This paper is concerned with the existence of multiple anti-periodic solutions to a nonlinear fourth order difference equation. The analysis is based on variational methods and critical point theory. Clark’s critical point theorem is used to prove the main results. An example illustrates the applicability of the results.

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Authors and Affiliations

  1. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, 37403, USA

    John R. Graef, Lingju Kong & Xueyan Liu

Authors
  1. John R. Graef
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  2. Lingju Kong
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  3. Xueyan Liu
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Correspondence to John R. Graef.

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Graef, J.R., Kong, L. & Liu, X. Multiple Anti-Periodic Solutions to a Discrete Fourth Order Nonlinear Equation. Differ Equ Dyn Syst 27, 601–610 (2019). https://doi.org/10.1007/s12591-016-0293-y

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  • DOI: https://doi.org/10.1007/s12591-016-0293-y

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