The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects |
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| Authors: | Juntao Sun Haibo Chen |
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| Institution: | a Department of Mathematics, Central South University, Changsha, 410075 Hunan, People’s Republic of China
b Departamento de Análisis Matemático, Universidad de Santiago de Compostela, Santiago de Compostela 15782, Spain |
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| Abstract: | In this paper, we study the existence of multiple solutions for a class of second-order impulsive Hamiltonian systems. We give some new criteria for guaranteeing that the impulsive Hamiltonian systems with a perturbed term have at least three solutions by using a variational method and some critical points theorems of B. Ricceri. We extend and improve on some recent results. Finally, some examples are presented to illustrate our main results. |
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| Keywords: | 34B37 37J45 70H05 70H12 |
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