| 一类两参数半线性奇摄动问题解的渐近性态 |
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| 引用本文： | 莫嘉琪.一类两参数半线性奇摄动问题解的渐近性态[J].应用数学学报,2009,32(5). |
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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,芜湖,241000;上海高校计算科学E-研究院SJTU研究所,上海,200240 |
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| 基金项目： | 国家自然科学基金，中国科学院知识创新工程重要方向，LASG国家重点实验室专项经费和上海市教育委员会E-研究院建设计划 |
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| 摘 要： | 本文研究了一类两参数半线性奇摄动问题的基本模型.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.得到了该问题在三种不同情形下的渐近解并证明了在三种情形下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 |
The Asymptotic Behavior of Solutions for a Class of Semilinear Singularly Perturbed Problem with Two Parameters |
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| MO JIAQI.The Asymptotic Behavior of Solutions for a Class of Semilinear Singularly Perturbed Problem with Two Parameters[J].Acta Mathematicae Applicatae Sinica,2009,32(5). |
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| Authors: | MO JIAQI |
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| Abstract: | In this paper, a class of basal model for semilinear singularly perturbed prob-lem with two parameters is studied. Using singular perturbation method, the structure of solutions for the problem is discussed thoroughly in three different cases about two small pa-rameters. The asymptotic solutions of the problem are given. The structure and asymptotic behavior of solutions in the three cases are proved. |
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| Keywords: | two parameters asymptotic solution singular perturbation |
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