Asymptotically periodic solutions of second order difference equations

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摘要

In this paper, we obtain sufficient conditions for the existence of asymptotically periodic solutions of the second order difference equations of the formMoreover, we give sufficient conditions under which every bounded solution of the above equation is asymptotically periodic. Our approach allows us to control the degree of approximation.

论文关键词：Sturm–Liouville difference equation,Second order difference equation,Quasidifferences,Asymptotic behavior,Bounded solution,Asymptotically periodic solution

论文评审过程：Received 20 September 2018, Revised 6 December 2018, Accepted 7 January 2019, Available online 18 January 2019, Version of Record 18 January 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.01.010