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http://dx.doi.org/10.7468/jksmeb.2014.21.1.11

LIPSCHITZ AND ASYMPTOTIC STABILITY FOR PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS  

Goo, Yoon Hoe (Department of Mathematics, Hanseo University)
Publication Information
The Pure and Applied Mathematics / v.21, no.1, 2014 , pp. 11-21 More about this Journal
Abstract
The present paper is concerned with the notions of Lipschitz and asymptotic stability for perturbed nonlinear differential system knowing the corresponding stability of nonlinear differential system. We investigate Lipschitz and asymtotic stability for perturbed nonlinear differential systems. The main tool used is integral inequalities of the Bihari-type, in special some consequences of an extension of Bihari's result to Pinto and Pachpatte, and all that sort of things.
Keywords
uniformly Lipschitz stability; uniformly Lipschitz stability in variation; exponentially asymptotic stability; exponentially asymptotic stability in variation;
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Times Cited By KSCI : 4  (Citation Analysis)
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