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Periodic solutions of generalized Liénard equations - MaRDI portal

Periodic solutions of generalized Liénard equations (Q5899926)

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scientific article; zbMATH DE number 4159138
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Periodic solutions of generalized Liénard equations
scientific article; zbMATH DE number 4159138

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    Periodic solutions of generalized Liénard equations (English)
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    1990
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    First, the autor shows by means of a counterexample that the existence theorem for periodic solutions for the equation \(\ddot x+f(x,\dot x)\dot x+g(x)=0\) given by \textit{P. J. Ponzo} and \textit{N. Wax} [J. Math. Anal. Appl. 104, 117-127 (1984; Zbl 0618.34034)] is false. Next, he gives a correct version of such a theorem and an illuminating example.
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    example
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