Infinitely Many Periodic Solutions of Duffing Equations with Singularities via Time Map

Tiantian Ma and Zaihong Wang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We study the periodic solutions of Duffing equations with singularities x′′ + g(x) = p(t). By using Poincaré‐Birkhoff twist theorem, we prove that the given equation possesses infinitely many positive periodic solutions provided that g satisfies the singular condition and the time map related to autonomous system x′′ + g(x) = 0 tends to zero.

Date: 2014
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https://doi.org/10.1155/2014/398512

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:398512

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