Electron. J. Diff. Equ., Vol. 2014 (2014), No. 62, pp. 1-13.

An application of variational methods to second-order impulsive differential equation with derivative dependence

Jian Liu, Zengqin Zhao

Abstract:
In this article, we study the existence of solutions for nonlinear impulsive problems. We show the existence of classical solutions by using variational methods.

Submitted August 4, 2013. Published March 5, 2014.
Math Subject Classifications: 34B37, 35B38.
Key Words: Variational method; derivative dependence; impulsive differential equation.

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Jian Liu
School of Mathematics and Quantitative Economics
Shandong University of Finance and Economics
Jinan, Shandong 250014, China
email: liujianmath@163.com
Zengqin Zhao
School of Mathematical Sciences
Qufu Normal University
Qufu, Shandong 273165, China
email: zqzhao@mail.qfnu.edu.cn

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