Finite travelling waves for a semilinear degenerate reaction-diffusion system
文献类型：期刊论文
| 作者 | Wang, S; Wang, CF; Luo, D |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2001-10-01 |
| 卷号 | 17期号:4页码:603-612 |
| 关键词 | finite traveling waves degenerate reaction-diffusion system global solution blow up |
| ISSN号 | 1000-9574 |
| 英文摘要 | In this paper, the existence and nonexistence of finite travelling waves (FTWs) for a semilinear degenerate reaction-diffusion system (u(i),(alphai))(t) = u(ixx) - Pi (N)(j=1) u(j)(mij), x is an element of R, t > 0, i = 1,...,N (I) is studied, where 0 < alpha (i) < 1, m(ij) greater than or equal to 0 and Sigma (N)(j=1) m(ij) > 0, i, j = 1,...,N. Necessary and sufficient conditions on existence and large time behaviours. of FTWs of (I) are obtained by using the matrix theory, Schauder's fixed point theorem, and upper and lower solutions method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000171817400004 |
| 出版者 | SPRINGER-VERLAG SINGAPORE PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16303]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, S |
| 作者单位 | 1.Henan Univ, Dept Math, Kaifeng 475001, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China 4.N China Inst Water Conservancy & Hydroelect Power, Dept Basic Sci, Zhengzhou 450045, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, S,Wang, CF,Luo, D. Finite travelling waves for a semilinear degenerate reaction-diffusion system[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2001,17(4):603-612. |
| APA | Wang, S,Wang, CF,&Luo, D.(2001).Finite travelling waves for a semilinear degenerate reaction-diffusion system.ACTA MATHEMATICA SINICA-ENGLISH SERIES,17(4),603-612. |
| MLA | Wang, S,et al."Finite travelling waves for a semilinear degenerate reaction-diffusion system".ACTA MATHEMATICA SINICA-ENGLISH SERIES 17.4(2001):603-612. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。