ID | 49103 |
FullText URL | |
Author |
Adeleke Timothy, Ademora
Peter Olutola, Arawamo
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Abstract | In this paper, a complete Lyapunov functional was con-
structed and used to obtain criteria (when p = 0) for uniform asymptotic
stability of the zero solution of the nonlinear delay differential equation
(1.1). When p ≠ 0, sufficient conditions are also established for uni-
form boundedness and uniform ultimate boundedness of solutions of
this equation. Our results improve and extend some well known results
in the literature.
|
Keywords | Uniform stability
Uniform boundedness
Uniform ultimate boundedness
Lyapunov functional
Delay differential equation
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Published Date | 2013-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume55
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 157
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End Page | 166
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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Copyright Holders | Copyright©2013 by the Editorial Board of Mathematical Journal of Okayama University
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol55/iss1/8
|
JaLCDOI |