UNIFORMLY LIPSCHITZ STABILITY AND ASYMPTOTIC BEHAVIOR OF PERTURBED DIFFERENTIAL SYSTEMS

In this paper we show that the solutions to the per- turbed di®erential system y0 = f(t; y) + Z t t0 g(s; y(s); Ty(s))ds have uniformly Lipschitz stability and asymptotic behavior by im- posing conditions on the perturbed part R t t0 g(s; y(s); Ty(s))ds and the fundamental matrix of the unperturbed...

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Bibliographic Details
Published inJournal of the Chungcheong Mathematical Society Vol. 29; no. 3; pp. 429 - 442
Main Authors Choi, Sang Il, Goo, Yoon Hoe
Format Journal Article
LanguageEnglish
Published 충청수학회 15.08.2016
Subjects
수학
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ISSN1226-3524
2383-6245
DOI10.14403/jcms.2016.29.3.429

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Summary:In this paper we show that the solutions to the per- turbed di®erential system y0 = f(t; y) + Z t t0 g(s; y(s); Ty(s))ds have uniformly Lipschitz stability and asymptotic behavior by im- posing conditions on the perturbed part R t t0 g(s; y(s); Ty(s))ds and the fundamental matrix of the unperturbed system y0 = f(t; y). KCI Citation Count: 2
Bibliography:G704-001724.2016.29.3.007
ISSN:1226-3524
2383-6245
DOI:10.14403/jcms.2016.29.3.429