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

Tiantian Ma and Zaihong Wang

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

We study the periodic solutions of Duffing equations with singularities . By using Poincaré-Birkhoff twist theorem, we prove that the given equation possesses infinitely many positive periodic solutions provided that satisfies the singular condition and the time map related to autonomous system tends to zero.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:398512

DOI: 10.1155/2014/398512

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