Necessary and Sufficient Conditions for
Necessary and Sufficient Conditions for Boundedness and Oscillation in the Retarded Liénard Equation
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Bo Zhang
📂
Article
📅
1996
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Elsevier Science
🌐
English
⚖ 199 KB
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.