Asymptotically periodic solutions of second order difference equations

Janusz Migda, Małgorzata Migda and Zenon Zba̧szyniak

Applied Mathematics and Computation, 2019, vol. 350, issue C, 181-189

Abstract: In this paper, we obtain sufficient conditions for the existence of asymptotically periodic solutions of the second order difference equations of the formΔ(rnΔxn)=anf(xn−τ)+bn.Moreover, 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.

Keywords: Sturm–Liouville difference equation; Second order difference equation; Quasidifferences; Asymptotic behavior; Bounded solution; Asymptotically periodic solution (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:350:y:2019:i:c:p:181-189

DOI: 10.1016/j.amc.2019.01.010

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