Infinitely many solutions for a class of nonlinear impulsive differential equations with periodic boundary conditions |
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| Authors: | Dan Zhang Binxiang Dai |
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| Affiliation: | 1. Department of Mathematics, Central South University, Changsha, 410075 Hunan, People’s Republic of China;2. Department of Mathematics, Hunan University of Science and Engineering, Yongzhou, 425100 Hunan, People’s Republic of China |
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| Abstract: | In this paper, we consider the existence of solutions for a class of nonlinear impulsive problems with periodic boundary conditions. By using critical point theory, we obtain some existence theorems of infinitely many solutions for the nonlinear impulsive problem when the impulsive functions are superlinear. We extend and improve some recent results. |
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