Electron. J. Diff. Equ., Vol. 2014 (2014), No. 121, pp. 1-12.

Existence and multiplicity of periodic solutions generated by impulses for second-order Hamiltonian system

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.

Show me the PDF file (237 KB), TEX file, and other files for this article.

Dan Zhang
Institute of Computational Mathematics, Department of Mathematics
Hunan University of Science and Engineering
Yongzhou, 425100 Hunan, China
email: zhang11dan@126.com
  Qinghua Wu
Institute of Computational Mathematics, Department of Mathematics
Hunan University of Science and Engineering
Yongzhou, 425100 Hunan, China
email: jackwqh@163.com
Binxiang Dai
School of Mathematics and Statistics, Central South University
Changsha, 410083 Hunan, China
email: binxiangdai@126.com

Return to the EJDE web page