| HOMOCLINIC SOLUTIONS NEAR THE ORIGIN FOR A CLASS OF FIRST ORDER HAMILTONIAN SYSTEMS |
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| 作者姓名： | 张清业 刘春根 |
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| 作者单位： | 1. School of Mathematics and Statistics, Jiangxi Normal University;2. School of Mathematics and Information Science, Guangzhou University |
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| 基金项目： | The first author was supported by the National Natural Science Foundation of China (11761036, 11201196)；;the Natural Science Foundation of Jiangxi Province (20171BAB211002)；;The second author was supported by the National Natural Science Foundation of China (11790271, 12171108)； |
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| 摘 要： | In this paper, we study the existence of infinitely many homoclinic solutions for a class of first order Hamiltonian systems ■= JHzt, z, where the Hamiltonian function H possesses the form H(t, z) =1/2L(t)z·z + G(t, z), and G(t, z) is only locally defined near the origin with respect to z. Under some mild conditions on L and G, we show that the existence of a sequence of homoclinic solutions is actually a local phenomenon in some sense, which is essentially forced by the subquadratici...
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