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New results on existence of asymptotically stable periodic solutions of a forced Liénard type equation - MaRDI portal

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New results on existence of asymptotically stable periodic solutions of a forced Liénard type equation (Q1035238)

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scientific article; zbMATH DE number 5624112
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English
New results on existence of asymptotically stable periodic solutions of a forced Liénard type equation
scientific article; zbMATH DE number 5624112

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    New results on existence of asymptotically stable periodic solutions of a forced Liénard type equation (English)
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    2 November 2009
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    The following forced Lienard type equation \[ x''(t)+f(x(t))x'(t)+g(t,x(t))=e(t) \] is considered. Under certain assumptions, using Manasevich-Mawhin continuation theorem, Floquet theory and Liapunov stability theory, the authors obtain some result on existence of asymptotically stable periodic solutions of this equation.
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    Lienard equation
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    periodic solution
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    existence
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    stability
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