Multiple homoclinics in a Hamiltonian system with asymptotically or super linear terms
文献类型：期刊论文
| 作者 | Ding, Yanheng
|
| 刊名 | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
 |
| 出版日期 | 2006-08-01 |
| 卷号 | 8期号:4页码:453-480 |
| 关键词 | spectrum infinitely many homoclinics asymptotically linear superlinear critical points |
| ISSN号 | 0219-1997 |
| 英文摘要 | This paper is concerned with homoclinic orbits in the Hamiltonian system (z) over dot = JH(z) (t, z), where H is periodic in t with H-z (t, z) = L (t) z + R-z (t, z), R-z (t, z) = o(\z\) as z --> 0. We find a condition on the matrix valued function L to describe the spectrum of operator -(Td/dt + L) so that a proper variational formulation is presented. Supposing R-z is asymptotically linear as \z\ --> infinity and symmetric in z, we obtain infinitely many homoclinic orbits. We also treat the case where R-z is super linear as \z\ --> infinity with assumptions different from those studied previously in relative work, and prove existence and multiplicity of homoclinic orbits. Our arguments are based on some recent information on strongly indefinite functionals in critical point theory. |
| 语种 | 英语 |
| WOS记录号 | WOS:000240325400002 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3248]  |
| 专题 | 数学所 |
| 通讯作者 | Ding, Yanheng |
| 作者单位 | Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Yanheng. Multiple homoclinics in a Hamiltonian system with asymptotically or super linear terms[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2006,8(4):453-480. |
| APA | Ding, Yanheng.(2006).Multiple homoclinics in a Hamiltonian system with asymptotically or super linear terms.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,8(4),453-480. |
| MLA | Ding, Yanheng."Multiple homoclinics in a Hamiltonian system with asymptotically or super linear terms".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 8.4(2006):453-480. |
入库方式： OAI收割
来源：数学与系统科学研究院
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