Nontrivial solutions for asymptotically linear hamiltonian systems with Lagrangian boundary conditions |
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| Authors: | Liu Chungen Zhang Qingye |
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| Institution: | 1. School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, China;2. School of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang 330022, China |
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| Abstract: | In this article, we study the existence of nontrivial solutions for a class of asymptotically linear Hamiltonian systems with Lagrangian boundary conditions by the Galerkin approximation methods and the L-index theory developed by the first author. |
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| Keywords: | Lagrangian boundary conditions Hamiltonian systems asymptotically linear Maslov-type index |
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