On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities
文献类型：期刊论文
| 作者 | Yang, Minbo1; Shen, Zifei2; Ding, Yanheng2 |
| 刊名 | CHINESE ANNALS OF MATHEMATICS SERIES B
 |
| 出版日期 | 2011 |
| 卷号 | 32期号:1页码:45-58 |
| 关键词 | Variational methods Least energy solution Hamiltonian system |
| ISSN号 | 0252-9599 |
| DOI | 10.1007/s11401-010-0625-0 |
| 英文摘要 | The authors study the existence of homoclinic type solutions for the following system of diffusion equations on R x R-N: {partial derivative(t)u - Delta(x)u + b . del(x)u + au + V(t,x)v = H-v(t,x,u,v), -partial derivative(t)v - Delta(x)v + b . del(x)v + av + V(t,x)u = H-u(t,x,u,v), where z = (u, v): R x R-N -> R-m x R-m , a > 0, b = (b(1), ... , b(N)) is a constant vector and V is an element of C(R x R-N, R), H is an element of C-1 (R x R-N x R-2m, R). Under suitable conditions on V(t,x) and the nonlinearity for H(t, x, z), at least one non-stationary homoclinic solution with least energy is obtained. |
| 资助项目 | National Natural Science Foundation of China[10971194] ; Zhejiang Provincial Natural Science Foundation of China[Y7080008] ; Zhejiang Provincial Natural Science Foundation of China[R6090109] ; Zhejiang Innovation Project[T200905] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000287203400004 |
| 出版者 | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13120]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yang, Minbo |
| 作者单位 | 1.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Minbo,Shen, Zifei,Ding, Yanheng. On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2011,32(1):45-58. |
| APA | Yang, Minbo,Shen, Zifei,&Ding, Yanheng.(2011).On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities.CHINESE ANNALS OF MATHEMATICS SERIES B,32(1),45-58. |
| MLA | Yang, Minbo,et al."On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities".CHINESE ANNALS OF MATHEMATICS SERIES B 32.1(2011):45-58. |
入库方式： OAI收割
来源：数学与系统科学研究院
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