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Homoclinic solutions for a class of nonperiodic and noneven second-order Hamiltonian systems |
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| Authors: | Dong-Lun Wu Chun-Lei Tang |
| Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China |
| Abstract: | The existence of homoclinic solutions is obtained for second-order Hamiltonian systems  , as the limit of the solutions of a sequence of nil-boundary-value problems which are obtained by the Mountain Pass theorem, when L(t) and W(t,x) are neither periodic nor even with respect to t. |
| Keywords: | Homoclinic solutions (C) condition Mountain Pass theorem Second-order Hamiltonian systems Sobolev's embedding theorem |
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