Existence of nonzero solutions for a class of damped vibration problems with impulsive effects |
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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, People’s Republic of China
2. School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410075, People’s Republic of China
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| Abstract: | In this paper, a class of damped vibration problems with impulsive effects is considered. An existence result is obtained by using the variational method and the critical point theorem due to Brezis and Nirenberg. The obtained result is also valid and new for the corresponding second-order impulsive Hamiltonian system. Finally, an example is presented to illustrate the feasibility and effectiveness of the result. |
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