Electron. J. Diff. Equ., Vol. 2014 (2014), No. 94, pp. 1-10.

Necessary and sufficient conditions for the existence of periodic solution to singular problems with impulses

Juntao Sun, Jifeng Chu

Abstract:
In this article we give a necessary sufficient conditions for the existence of periodic solutions to impulsive periodic solution for a singular differential equation. The proof is based on the variational method.

Submitted October 30, 2013. Published April 10, 2014.
Math Subject Classifications: 34B15.
Key Words: Positive periodic solution; singular differential equations; impulses; variational methods.

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Juntao Sun
School of Science, Shandong University of Technology
Zibo, 255049 Shandong, China
email: sunjuntao2008@163.com
Jifeng Chu
College of Science, Hohai University
Nanjing, 210098 Jiangsu, China
email: jifengchu@126.com

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