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Kyungpook Mathematical Journal 2020; 60(1): 163-175

Published online March 31, 2020

Copyright © Kyungpook Mathematical Journal.

Stability Criterion for Volterra Type Delay Difference Equations Including a Generalized Difference Operator

Murat Gevgesoglu∗ and Yasar Bolat

Department of Mathematics, Kastamonu University, Kastamonu, Turkey
e-mail : mgevgesoglu@kastamonu.edu.tr and ybolat@kastamonu.edu.tr

Received: January 17, 2018; Revised: May 10, 2019; Accepted: November 18, 2019

Abstract

The stability of a class of Volterra-type difference equations that include a generalized difference operator Δa is investigated using Krasnoselskii’s fixed point theorem and some results are obtained. In addition, some examples are given to illustrate our theoretical results.

Keywords: stability, Volterra diff,erence equations.