Global asymptotic stability of nonautonomous systems of Liénard type |
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| Authors: | Jitsuro Sugie Yusuke Amano |
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| Institution: | Department of Mathematics and Computer Science, Shimane University, Matsue 690-8504, Japan |
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| Abstract: | This paper deals with nonautonomous Liénard-type systems. Sufficient conditions are given for the zero solution of the systems to be globally asymptotically stable. The main result is proved by means of phase plane analysis with a Liapunov function. Examples are included to contrast our theorem with results which were presented by Hatvani and Cantarelli. Some global phase portraits are also attached. |
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| Keywords: | Global asymptotic stability Nonautonomous differential equations Lié nard system Phase plane analysis Positive orbits |
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