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Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations

Author

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  • Diblík, J.
  • Fečkan, M.
  • Pospíšil, M.

Abstract

In this paper, it is shown that a fractional difference equation with a periodic right-hand side can not possess a periodic solution but it can have an S-asymptotically periodic solution. Sufficient conditions are proved for the existence of a unique S-asymptotically periodic solution. An example is also given illustrating the obtained results.

Suggested Citation

  • Diblík, J. & Fečkan, M. & Pospíšil, M., 2015. "Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 230-240.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:230-240
    DOI: 10.1016/j.amc.2014.11.108
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    Cited by:

    1. I. Area & J. D. Djida & J. Losada & Juan J. Nieto, 2015. "On Fractional Orthonormal Polynomials of a Discrete Variable," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-7, July.

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