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Existence of periodic solutions for the Duffing equation with impulses - MaRDI portal

Existence of periodic solutions for the Duffing equation with impulses (Q1955328)

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scientific article; zbMATH DE number 6173676
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Existence of periodic solutions for the Duffing equation with impulses
scientific article; zbMATH DE number 6173676

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    Existence of periodic solutions for the Duffing equation with impulses (English)
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    11 June 2013
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    Summary: We study the existence of solutions to the Duffing equation with impulses. By means of the Poincaré-Birkhoff fixed point theorem under given conditions, we obtain the sufficient condition of existence of infinitely many solutions. Our results generalize those of T. R. Ding. An example is presented to demonstrate applications of our main result.
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