On Exponential Stability of Volterra Difference Equations with Infinite Delay
Volume 62 / 2014
Bulletin Polish Acad. Sci. Math. 62 (2014), 125-137
MSC: Primary 39A30; Secondary 93D20.
DOI: 10.4064/ba62-2-3
Abstract
General nonlinear Volterra difference equations with infinite delay are considered. A new explicit criterion for global exponential stability is given. Furthermore, we present a stability bound for equations subject to nonlinear perturbations. Two examples are given to illustrate the results obtained.
