Solvability of a class of impulsive damped vibration problems |
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| Authors: | Liang Bai Binxiang Dai |
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| Institution: | 1. College of Mathematics, Taiyuan University of Technology, , Taiyuan, Shanxi, 030024 China;2. School of Mathematics and Statistics, Central South University, , Changsha, Hunan, 410075 China |
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| Abstract: | In this paper, a class of impulsive damped vibration problems are considered. Existence results are obtained by using variational method and critical point theorem. The obtained results are also valid and new even if the impulsive damped vibration problem is reduced to impulsive Hamiltonian system and Hamiltonian system. Examples are presented to illustrate the feasibility and effectiveness of the results. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | impulsive differential equations boundary‐value problems variational method critical point Hamiltonian system |
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