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Existence of asymptotically periodic solutions of scalar Volterra difference equations

Open Access
|Nov 2012

Abstract

There is used a version of Schauder’s fixed point theorem to prove the existence of asymptotically periodic solutions of a scalar Volterra difference equation. Along with the existence of asymptotically periodic solutions, sufficient conditions for the nonexistence of such solutions are derived. Results are illustrated on examples.

DOI: https://doi.org/10.2478/v10127-009-0024-7 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 51 - 61
Published on: Nov 12, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2012 Josef Diblík, Miroslava Růžičková, Ewa Schmeidel, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.