Multiplicity results for a class of boundary value problems with impulsive effects |
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| Authors: | Hongxia Shi Haibo Chen |
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| Affiliation: | School of Mathematics and Statistics, Central South University, Changsha, People's Republic of China |
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| Abstract: | In this paper we study a class of boundary value problems with impulsive effects. Under some natural assumptions, by using Morse theory in combination with the minimax arguments, we establish some new results on the existence of multiple nontrivial solutions for the problems. Recent results from the literature are improved and extended. |
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| Keywords: | Variational method boundary value problems impulsive effects nontrivial solutions Morse theory 34A37 34B37 |
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