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Necessary and Sufficient Conditions for Boundedness and Oscillation in the Retarded Liénard Equation

✍ Scribed by Bo Zhang

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
199 KB
Volume
200
Category
Article
ISSN
0022-247X

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✦ Synopsis

Consider the retarded Lienard equation xЉ q f x xЈ q g x t y h s 0, where f, g: R ª R are continuous and h G 0. Using Liapunov's direct method, we give necessary and sufficient conditions to ensure boundedness and oscillation of all solutions and their derivatives.

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