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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-2-3,
author = {Pham Huu Anh Ngoc and Le Trung Hieu},
title = {On Exponential Stability of Volterra Difference Equations with Infinite Delay},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {62},
year = {2014},
pages = {125-137},
zbl = {06363761},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-2-3}
}
Pham Huu Anh Ngoc; Le Trung Hieu. On Exponential Stability of Volterra Difference Equations with Infinite Delay. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) pp. 125-137. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba62-2-3/