Periodic and homoclinic solutions generated by impulses for asymptotically linear and sublinear Hamiltonian system |
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Authors: | Xizhi Han Hao Zhang |
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Institution: | Department of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha 410073, PR China |
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Abstract: | In this paper, we get the existence of periodic and homoclinic solutions for a class of asymptotically linear or sublinear Hamiltonian systems with impulsive conditions via variational methods. However, without impulses, there is no homoclinic or periodic solution for the system considered in this paper. Moreover, our results can be used to study the existence of periodic and homoclinic solutions of difference equations. |
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Keywords: | 34A37 34B37 34C25 34C37 |
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