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On the necessary and sufficient conditions for the boundedness of the solutions of the nonlinear oscillating equation

✍ Scribed by Lihong Huang

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
568 KB
Volume
23
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Necessary and Sufficient Conditions for
Necessary and Sufficient Conditions for Boundedness and Oscillation in the Retarded LiΓ©nard Equation
✍ Bo Zhang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 199 KB

Consider the retarded Lienard equation xΠ‰ q f x xЈ q g x t y h s 0, where f, g: R Βͺ 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.