In this paper, some new nonlinear generalized Gronwall-Bellman-Type integral inequal- ities are established. These inequalities can be used as handy tools to research stability problems of perturbed dynamic systems. As applications, based on these new estab- lished inequalities, some new results of practical uniform stability are also given. A numerical example is presented to illustrate the validity of the main results.
@article{1163,
title = {Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability},
journal = {CUBO, A Mathematical Journal},
volume = {17},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/1163}
}
Hammi, Mekki; Hammami, Mohamed Ali. Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability. CUBO, A Mathematical Journal, Tome 17 (2015) 18 p. http://gdmltest.u-ga.fr/item/1163/