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Rotating periodic solutions for asymptotically linear second‐order Hamiltonian systems with resonance at infinity |
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| Authors: | Guanggang Liu Yong Li Xue Yang |
| Institution: | 1. School of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, China;2. School of Mathematical Sciences, Liaocheng University, Liaocheng 252000, China;3. College of Mathematics, Jilin University, Changchun 130012, China |
| Abstract: | In this paper, we consider a class of asymptotically linear second‐order Hamiltonian system with resonance at infinity. We will use Morse theory combined with the technique of penalized functionals to obtain the existence of rotating periodic solutions. |
| Keywords: | Morse theory rotating periodic solutions second‐order Hamiltonian systems |