Dan Zhang, Qinghua Wu, Binxiang Dai
Abstract:
In this article, we study the existence of non-zero periodic solutions
for Hamiltonian systems with impulsive conditions. By using a variational
method and a variant fountain theorem, we obtain new criteria to guarantee
that the system has at least one non-zero periodic solution or infinitely
many non-zero periodic solutions. However, without impulses, there is no
non-zero periodic solution for the system under our conditions.
Submitted February 18, 2014. Published May 2, 2014.
Math Subject Classifications: 34K50, 37K05.
Key Words: Impulsive differential equations; critical point theory;
periodic solution; variant fountain theorems.
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Dan Zhang Institute of Computational Mathematics, Department of Mathematics Hunan University of Science and Engineering Yongzhou, 425100 Hunan, China email: zhang11dan@126.com |
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| Qinghua Wu Institute of Computational Mathematics, Department of Mathematics Hunan University of Science and Engineering Yongzhou, 425100 Hunan, China email: jackwqh@163.com | |
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Binxiang Dai School of Mathematics and Statistics, Central South University Changsha, 410083 Hunan, China email: binxiangdai@126.com |
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