杨云瑞,李万同,吴事良.双稳时滞系统波前解的全局指数稳定性[J].数学年刊A辑,2010,31(4):451~462 |
双稳时滞系统波前解的全局指数稳定性 |
Global Exponential Stability of Traveling Fronts in Delayed Bistable Systems |
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DOI: |
中文关键词: 指数稳定性 行波 比较原理 |
英文关键词: |
基金项目:国家自然科学基金(No.10871085)资助的项目 |
Author Name | Affiliation | E-mail | YANG Yunrui | School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong
University, Lanzhou 730070, China School of Mathematics and Statistics,
Lanzhou University, Lanzhou 730000, China. | yangyr06@lzu.cn | LI Wantong | School of Mathematics and Statistics, Lanzhou Univer-
sity, Lanzhou 730000, China. | wtli@lzu.edu.cn | WU Shiliang | Department of Applied Mathematics, Xidian University, Xi’an 710071, China. | tunshl03@lzu.cn |
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中文摘要: |
研究了双稳时滞系统波前解的全局指数稳定性.在拟单调条件下,首先利用抽象泛函微分方程理论建立了R上时滞反应扩散系统解的存在性和比较原理,然后运用基于比较原理的挤压技术证明该系统的双稳波是全局指数稳定的. |
英文摘要: |
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