Abstract and Applied Analysis

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

Longsheng Bao and Binxiang Dai

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 250870, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277102

Digital Object Identifier
doi:10.1155/2014/250870

Mathematical Reviews number (MathSciNet)
MR3232827

Zentralblatt MATH identifier
07022001

Citation

Bao, Longsheng; Dai, Binxiang. Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem. Abstr. Appl. Anal. 2014 (2014), Article ID 250870, 7 pages. doi:10.1155/2014/250870. https://projecteuclid.org/euclid.aaa/1412277102


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