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

J. Diblík, M. Fečkan and M. Pospíšil

Applied Mathematics and Computation, 2015, vol. 257, issue C, 230-240

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.

Keywords: Fractional difference; Periodic solution; Nonlinear fractional difference equation; Asymptotic property (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:230-240

DOI: 10.1016/j.amc.2014.11.108

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