| 一类两参数非线性奇摄动边值问题解的渐近性态 |
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| 引用本文： | 莫嘉琪.一类两参数非线性奇摄动边值问题解的渐近性态[J].数学进展,2010(2). |
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| 作者姓名： | 莫嘉琪 |
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| 作者单位： | 安徽师范大学数学系;上海高校计算科学E-研究院上海交通大学研究所; |
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| 基金项目： | 国家自然科学基金(No.40876010); 中国科学院知识创新工程重要方向项目(No.KZCX2-YW-Q03-08); LASG国家重点实验室专项经费; 上海市教育委员会E-研究院建设计划项目(No.E03004); 浙江省自然科学基金(No.6090164) |
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| 摘 要： | 本文研究了一类两参数非线性奇摄动边值问题的基本模型.利用奇摄动方法,对该问题解的结构在两个小参数相互关联的三种不同情形下作了讨论,得到了该问题的渐近解并证明了在三种情形下不同的解的结构与渐近性态.
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| 关 键 词： | 两参数 渐近解 奇摄动 边值问题 |
The Asymptotic Behavior of Solutions for a Class of Nonlinear Singularly Perturbed Boundary Value Problem With Two Parameters |
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| MO Jiaqi.The Asymptotic Behavior of Solutions for a Class of Nonlinear Singularly Perturbed Boundary Value Problem With Two Parameters[J].Advances in Mathematics,2010(2). |
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| Authors: | MO Jiaqi |
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| Institution: | MO Jiaqi (1.Department of Mathematics,Anhui Normal University,Wuhu,Anhui,241000,P.R.China,2.Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai,200240,P.R.China) |
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| Abstract: | A class of basal model for the nonlinear singularly perturbed boundary value problem with two parameters is studied.Using the singular perturbation method,the structures of solutions for the problem is discussed throughly in three different cases about two small parameters.The asymptotic solutions of the problem are given.The different structures and asymptotic behavior of solutions in the three cases are proved. |
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| Keywords: | two parameters asymptotic solution singular perturbation boundary value problem |
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