Homoclinic orbits for a class of second-order Hamiltonian systems without a coercive potential |
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| Authors: | Xiang Lv Shiping Lu |
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| Affiliation: | 1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, PR China
2. Department of Mathematics, Anhui Normal University, Wuhu, 241000, Anhui, PR China
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| Abstract: | In this paper we establish some new sufficient conditions on the existence of homoclinic solutions for a class of second-order Hamiltonian systems without a coercive potential. The proof is based on a new critical point theorem in combination with periodic approximation. |
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