Existence of asymptotically periodic solutions of scalar Volterra difference equations
, and | Nov 12, 2012
Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications 2008
Published Online: Nov 12, 2012
Page range: 51 - 61
DOI: https://doi.org/10.2478/v10127-009-0024-7
Keywords
This content is open access.
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.