On Exponential Stability of Volterra Difference Equations with Infinite Delay
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 2, pp. 125-137
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
general nonlinear volterra difference equations infinite delay considered explicit criterion global exponential stability given furthermore present stability bound equations subject nonlinear perturbations examples given illustrate results obtained
Affiliations des auteurs :
Pham Huu Anh Ngoc 1 ; Le Trung Hieu 2
@article{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},
pages = {125--137},
publisher = {mathdoc},
volume = {62},
number = {2},
year = {2014},
doi = {10.4064/ba62-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba62-2-3/}
}
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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) no. 2, pp. 125-137. doi: 10.4064/ba62-2-3
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