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Asymptotically periodic solutions of second order difference equations

Author:
Migda, Janusz  Migda, Malgorzata  Zbaszyniak, Zenon  


Journal:
APPLIED MATHEMATICS AND COMPUTATION


Issue Date:
2019


Abstract(summary):

In this paper, we obtain sufficient conditions for the existence of asymptotically periodic solutions of the second order difference equations of the form Delta(r(n)Delta x(n)) =3D a(n)f (x(n-tau)) + b(n). 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. (C) 2019 Elsevier Inc. All rights reserved.


Page:
181---189


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