|
|||||
|
|
| 奇摄动半线性Robin问题的多重解 | |
| 引用本文： | 王丹凤,刘树德,秦赵娜. 奇摄动半线性Robin问题的多重解[J]. 数学研究, 2013, 0(4): 395-405 |
| 作者姓名： | 王丹凤 刘树德 秦赵娜 |
| 作者单位： | 安徽师范大学数学计算机科学学院,安徽芜湖241000 |
| 基金项目： | 国家自然科学基金（11202106）; 安徽高校省级自然科学基金（KJ2011A135） |
| 摘 要： | 研究了一类奇摄动半线性Robin问题.在适当的条件下,分析了该问题出现多重解现象.利用合成展开法构造出问题的形式渐近解,并应用微分不等式理论证明了解的存在性以及当ε→0时解的渐近性质. |
| 关 键 词： | 奇摄动 Robin问题 多重解 合成展开法 微分不等式理论 |
Multi-Solutions of Singularly Perturbed Semi Linear Robin Problems |
|
| Wang Danfeng;Liu Shude;Qin Zhaona. Multi-Solutions of Singularly Perturbed Semi Linear Robin Problems[J]. Journal of Mathematical Study, 2013, 0(4): 395-405 | |
| Authors: | Wang Danfeng Liu Shude Qin Zhaona |
| Affiliation: | Wang Danfeng;Liu Shude;Qin Zhaona;College of Mathematics and Computer Science, Anhui Normal University; |
| Abstract: | Some singularly perturbed semi linear Robin problems are studied. Multisolution phenomena of the problem which may be occur are analyzed. Formal asymptotic solutions of problems are constructed using the method of composite expansions,and then the existence and asymptotic behavior（as ε → 0） of solutions are proved by the theory of diferential inequalities. |
| Keywords: | Singular perturbation Robin problems Multi-solutions The method of composite expansions Theory of diferential inequalities |
| 本文献已被 维普 等数据库收录！ | |