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| 具有边界摄动的反应扩散时滞方程奇摄动问题(英文) | |
| 引用本文： | 汪维刚,石兰芳,韩祥临,莫嘉琪.具有边界摄动的反应扩散时滞方程奇摄动问题(英文)[J].工程数学学报,2015(2):291-297. |
| 作者姓名： | 汪维刚 石兰芳 韩祥临 莫嘉琪 |
| 作者单位： | 1. 桐城师范高等专科学校理工系,安徽桐城,231400 2. 南京信息工程大学数学与统计学院,江苏南京,210044 3. 湖州师范学院理学院,浙江湖州,313000 4. 安徽师范大学数学系,安徽芜湖,241003 |
| 基金项目： | @@@@ The National Natural Science Foundation of China，the Natural Science Foundation of the Education Department of Anhui Province，the Natural Sciences Fundation from the Universities of Jiangsu Province，the Natural Science Foundation of Zhejiang Province |
| 摘 要： | 本文研究了具有边界摄动的非线性时滞反应扩散方程奇摄动问题.首先得到了退化问题的解.其次构造了原问题的外部解.然后引入伸长变量构造了解的初始层校正项,得到了解的形式渐近展开式.最后在适当的假设下,利用微分不等式理论,证明了原初始边植问题解的渐近展开式的一致有效性. |
| 关 键 词： | 非线性 反应扩散 奇摄动 |
Singular Perturbation Problem for Reaction Diffusion Time Delay Equation with Boundary Perturbation |
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| WANG Wei-gang,SHI Lan-fang,HAN Xiang-lin,MO Jia-qi.Singular Perturbation Problem for Reaction Diffusion Time Delay Equation with Boundary Perturbation[J].Chinese Journal of Engineering Mathematics,2015(2):291-297. | |
| Authors: | WANG Wei-gang SHI Lan-fang HAN Xiang-lin MO Jia-qi |
| Affiliation: | WANG Wei-gang;SHI Lan-fang;HAN Xiang-lin;MO Jia-qi;Department of Science and Technology,Tongcheng Teachers College;College of Mathematics and Statistics,Nanjing University of Information Science & Technology;School of Science,Huzhou University;Department of Mathematic,Anhui Normal University; |
| Abstract: | |
| Keywords: | nonlinear reaction diffusion singular perturbation |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |