Periodic solutions of nonautonomous second order Hamiltonian systems
文献类型：期刊论文
| 作者 | Luan, SX; Mao, AM |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2005-08-01 |
| 卷号 | 21期号:4页码:685-690 |
| 关键词 | non-autonomous Hamiltonian systems periodic solutions local linking critical point theory variational method |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-005-0532-6 |
| 英文摘要 | In this paper, we develop the local linking theorem given by Li and Willem by replacing the Palais-Smale condition with a Cerami one, and apply it to the study of the existence of periodic solutions of the nonautonomous second order Hamiltonian systems (H) u + A(t)u + del V(t, u) = 0, u is an element of R-N, t is an element of R. We handle the case of superquadratic nonlinearities which differ from those used previously. Our results extend the theorems given by Li and Willem. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000231514000003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1276]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Luan, SX |
| 作者单位 | 1.Qufu Normal Univ, Dept Math, Qufu 273165, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luan, SX,Mao, AM. Periodic solutions of nonautonomous second order Hamiltonian systems[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2005,21(4):685-690. |
| APA | Luan, SX,&Mao, AM.(2005).Periodic solutions of nonautonomous second order Hamiltonian systems.ACTA MATHEMATICA SINICA-ENGLISH SERIES,21(4),685-690. |
| MLA | Luan, SX,et al."Periodic solutions of nonautonomous second order Hamiltonian systems".ACTA MATHEMATICA SINICA-ENGLISH SERIES 21.4(2005):685-690. |
入库方式： OAI收割
来源：数学与系统科学研究院
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