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Solvability of a second-order Hamiltonian system with impulsive effects

Binxiang Dai* and Jia Guo

Author Affiliations

School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410075, China

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Boundary Value Problems 2013, 2013:151  doi:10.1186/1687-2770-2013-151

Published: 25 June 2013


In this paper, a class of second-order Hamiltonian systems with impulsive effects are considered. By using critical point theory, we obtain some existence theorems of solutions for the nonlinear impulsive problem. We extend and improve some recent results.

MSC: 334B18, 34B37, 58E05.

Hamiltonian system; impulsive; critical point theory