このエントリーをはてなブックマークに追加
ID 49103
フルテキストURL
著者
Adeleke Timothy, Ademora Department of Mathematics University of Ibadan
Peter Olutola, Arawamo Department of Mathematics University of Ibadan
抄録
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.
キーワード
Uniform stability
Uniform boundedness
Uniform ultimate boundedness
Lyapunov functional
Delay differential equation
発行日
2013-01
出版物タイトル
Mathematical Journal of Okayama University
55巻
1号
出版者
Department of Mathematics, Faculty of Science, Okayama University
開始ページ
157
終了ページ
166
ISSN
0030-1566
NCID
AA00723502
資料タイプ
学術雑誌論文
言語
英語
著作権者
Copyright©2013 by the Editorial Board of Mathematical Journal of Okayama University
論文のバージョン
publisher
査読
有り
Submission Path
mjou/vol55/iss1/8
JaLCDOI