UNIFORMLY LIPSCHITZ STABILITY OF PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS

In this paper, we study that the solutions to perturbed differential system y = f(t, y) + ∫_{t_)}^t g(s, y(s), T_1y(s))ds + h(t, y(t), T_2y(t)) have uniformly Lipschitz stability by imposing conditions on the perturbed part ∫^t_{t_0} g(s, y(s), T_1y(s))ds, h(t, y(t), T2y(t)), and on the fundamental...

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Published in충청수학회지, 30(2) pp. 273 - 284
Main Authors 최상일, 이지연, 구윤회
Format Journal Article
LanguageEnglish
Published 충청수학회 01.05.2017
Subjects
수학
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ISSN1226-3524
2383-6245
DOI10.14403/jcms.2017.30.2.273

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Summary:In this paper, we study that the solutions to perturbed differential system y = f(t, y) + ∫_{t_)}^t g(s, y(s), T_1y(s))ds + h(t, y(t), T_2y(t)) have uniformly Lipschitz stability by imposing conditions on the perturbed part ∫^t_{t_0} g(s, y(s), T_1y(s))ds, h(t, y(t), T2y(t)), and on the fundamental matrix of the unperturbed system y′= f(t, y) using integral inequalities. KCI Citation Count: 0
Bibliography:http://ccms.or.kr/data/pdfpaper/jcms30_2/30_2_273.pdf
ISSN:1226-3524
2383-6245
DOI:10.14403/jcms.2017.30.2.273