BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS

This paper shows that the solutions to the perturbed dierential system y0 = f(t; y) + Z t t0 g(s; y(s))ds + h(t; y(t); Ty(t)) have bounded property. To show this property, we impose condi- tions on the perturbed part R t t0 g(s; y(s))ds; h(t; y(t); Ty(t)), and on the fundamental matrix of the unpert...

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Bibliographic Details
Published inJournal of the Chungcheong Mathematical Society Vol. 28; no. 4; pp. 499 - 511
Main Authors Im, Dong Man, Goo, Yoon Hoe
Format Journal Article
LanguageEnglish
Published 충청수학회 15.11.2015
Subjects
수학
Online AccessGet full text
ISSN1226-3524
2383-6245
DOI10.14403/jcms.2015.28.4.499

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Summary:This paper shows that the solutions to the perturbed dierential system y0 = f(t; y) + Z t t0 g(s; y(s))ds + h(t; y(t); Ty(t)) have bounded property. To show this property, we impose condi- tions on the perturbed part R t t0 g(s; y(s))ds; h(t; y(t); Ty(t)), and on the fundamental matrix of the unperturbed system y0 = f(t; y). KCI Citation Count: 0
Bibliography:G704-001724.2015.28.4.001
ISSN:1226-3524
2383-6245
DOI:10.14403/jcms.2015.28.4.499