リアプノフ関数微分方程式における同等有界性

島根大学理学部紀要 Volume 19 Page 11-21 published_at 1985-12-25
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Title
リアプノフ関数微分方程式における同等有界性
Title
Liapunov Functions and Equiboundedness in Functional Differential Equations
Title Transcription
リアプノフ カンスウ ビブン ホウテイシキ ニオケル ドウトウ ユウカイセイ
Creator
Source Title
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
Volume 19
Start Page 11
End Page 21
Journal Identifire
ISSN 03879925
Descriptions
The equiboundedness of the solutions of ordinary and functional differential equations are mainly discussed by using Liapunov's second method. For a theorem on equiboundedness in ordinary differential equations in [V. Lakshmikantham and S. Leela, Math. Systems Theory, 10 (1976), 85-90], an example is presented. Moreover the theorem is extended to functional differential equations with infinite delay by using Liapunov-Razumikhin method, and an application is prp-sented.
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学理学部
The Faculty of Science, Shimane University
Date of Issued 1985-12-25
Access Rights open access
Relation
[NCID] AN00108106