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ISSN : 1226-0657

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Vol.22 No.1

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LIPSCHITZ AND ASYMPTOTIC STABILITY OF PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS

LIPSCHITZ AND ASYMPTOTIC STABILITY OF PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.1, pp.1-11
https://doi.org/10.7468/jksmeb.2015.22.1.1
Choi, Sang Il (Department of Mathematics, Hanseo University)
Goo, Yoon Hoe (Department of Mathematics, Hanseo University)
Choi, Sang Il, & Goo, Yoon Hoe. (2015). LIPSCHITZ AND ASYMPTOTIC STABILITY OF PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS. 한국수학교육학회지시리즈B:순수및응용수학, 22(1), 1-11, https://doi.org/10.7468/jksmeb.2015.22.1.1

Abstract

The present paper is concerned with the notions of Lipschitz and asymptotic for perturbed functional differential system knowing the corresponding stability of functional differential system. We investigate Lipschitz and asymptotic stability for perturbed functional differential systems. The main tool used is integral inequalities of the Bihari-type, 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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한국수학교육학회지시리즈B:순수및응용수학

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