Periodic solutions of Duffing equations with semi-quadratic potential and singularity (Q2497358)

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Periodic solutions of Duffing equations with semi-quadratic potential and singularity
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    Periodic solutions of Duffing equations with semi-quadratic potential and singularity (English)
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    4 August 2006
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    The equation \(\ddot x+g(x)=p(t)\) is considered. The aim of the paper is to give conditions for the existence of periodic solutions in the case when the function \(g(x)\) possesses a singularity at the origin. Such conditions are found. An example is given.
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    Duffing equation
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    periodic solution
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    singularity
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