| PERIODIC SOLUTIONS OF ASYMPTOTICALLY LINEA RHAMILTONIAN SYSTEMS |
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| 引用本文： | Fei Guihu,Qiu Qingjiu. PERIODIC SOLUTIONS OF ASYMPTOTICALLY LINEA RHAMILTONIAN SYSTEMS[J]. 数学年刊B辑(英文版), 1997, 18(3): 359-372 |
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| 作者姓名： | Fei Guihu Qiu Qingjiu |
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| 摘 要： | ＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳＯＦＡＳＹＭＰＴＯＴＩＣＡＬＬＹＬＩＮＥＡＲＨＡＭＩＬＴＯＮＩＡＮＳＹＳＴＥＭＳＦｅｉＧｕｉｈｕａＱｉｕＱｉｎｇｊｉｕＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＤｅｃｅｍｂｅｒ５，１９９４．ＲｅｖｉｓｅｄＳｅｐｔｅ...
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| 关 键 词： | 周期解 临界点 Hamiltonian系统 Maslov指标 |
| 收稿时间： | 1994-12-05 |
| 修稿时间： | 1995-09-07 |
PERIODIC SOLUTIONS OF ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS |
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| Fei Guihua and Qiu Qingjiu. PERIODIC SOLUTIONS OF ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS[J]. Chinese Annals of Mathematics,Series B, 1997, 18(3): 359-372 |
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| Authors: | Fei Guihua and Qiu Qingjiu |
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| Affiliation: | DepartmentofMathematics,NanjingUniversity,Nanjing210008 |
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| Abstract: | The authors establish the existence of nontrival periodic solutions of the asymptotically linear Hamiltonian systems in the general case that the asymptotic matrix may be degenerate and time-dependent. This is done by using the critical point theory, Galerkin approximation procedure and the Maslov type index theory introduced and generalized by Conley, Zehnder and Long. |
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| Keywords: | Periodic solution Critical point Hamiltonian systems Maslov-type index |
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