Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem

Longsheng Bao and Binxiang Dai

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

A class of second order impulsive Hamiltonian systems are considered. By applying a local linking theorem, we establish the new criterion to guarantee that this impulsive Hamiltonian system has at least one nontrivial T-periodic solution under local superquadratic condition. This result generalizes and improves some existing results in the known literature.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:250870

DOI: 10.1155/2014/250870

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