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Applications of the Moser’s Twist Theorem to Some Impulsive Differential Equations

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Abstract

By KAM theorem, we prove that all solutions of Duffing equations of periodic coefficients undergoing suitable impulses are bounded for all time and that there are many quasi-periodic solutions clustering at infinity.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, People’s Republic of China

    Lu Chen

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  1. Lu Chen
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Correspondence to Lu Chen.

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This work is supported by the National Natural Science Foundation of China (Nos. 11771093 and 11790272)

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Chen, L. Applications of the Moser’s Twist Theorem to Some Impulsive Differential Equations. Qual. Theory Dyn. Syst. 19, 75 (2020). https://doi.org/10.1007/s12346-020-00413-1

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