Periodic Solutions of Classical Hamiltonian Systems without Palais-Smale Condition |
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| Authors: | Guihua FeiSoon-Kyu Kim Tixiang Wang |
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| Institution: | a Department of Mathematics and Statistics, University of Minnesota, Duluth, Minnesota, 55812b Department of Mathematics, University of Connecticut, Storrs, Connecticut, 06269 |
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| Abstract: | In this paper, we study the existence of periodic solutions for classical Hamiltonian systems without the Palais-Smale condition. We prove that the information of the potential function contained in a finite domain is sufficient for the existence of periodic solutions. Moreover, we establish the existence of infinitely many periodic solutions without any symmetric condition on the potential function V. |
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| Keywords: | period solutions classical Hamiltonian systems Conley index Galerkin approximation |
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