<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Existence of asymptotically periodic solutions of scalar Volterra difference equations

Department of Mathematics Faculty of Science University of Žilina Univerzitná 8215/1 SK–010-26 Žilina, SLOVAKIA

Department of Mathematics Faculty of Science University of Žilina Univerzitná 8215/1 SK–010-26 Žilina SLOVAKIA

Institut of Mathematics Faculty of Electrical Engineering Poznán University of Technology Piotrowo 3a PL–60-965 Poznán POLAND

Tatra Mountains Mathematical Publications

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....

Existence of asymptotically periodic solutions of scalar Volterra difference equations

Published Online: Nov 12, 2012

Page range: 51 - 61

DOI: https://doi.org/10.2478/v10127-009-0024-7

Keywords
asymptotically periodic solution, asymptotic behavior of solutions, Volterra difference equation

This content is open access.

Existence of asymptotically periodic solutions of scalar Volterra difference equations

Published Online: Nov 12, 2012

Page range: 51 - 61

DOI: https://doi.org/10.2478/v10127-009-0024-7

Keywordsasymptotically periodic solution, asymptotic behavior of solutions, Volterra difference equation

This content is open access.

Keywords
asymptotically periodic solution, asymptotic behavior of solutions, Volterra difference equation