| 一类奇摄动半线性方程组的Robin问题 |
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| 引用本文： | 童爱华.一类奇摄动半线性方程组的Robin问题[J].华东师范大学学报(自然科学版),2009,2009(4):69-77. |
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| 作者姓名： | 童爱华 |
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| 作者单位： | 浙江海洋学院,数理与信息学院,浙江,舟山,316000 |
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| 摘 要： | 研究了一类可作为化学反应模型的奇摄动半线性方程组的Robin问题, 在一定条件下利用边界函数法构造了所论问题 一致有效的渐近解, 同时讨论了该问题解的存在惟一性, 并给出了余项估计.
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| 关 键 词： | 奇摄动 边界函数 稳定流形 渐近解 奇摄动 边界函数 稳定流形 渐近解 |
| 收稿时间： | 2008-10-9 |
| 修稿时间： | 2009-1-6 |
Robin problem for a class of semilinear singularly\\[5pt] perturbed ODE systems |
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| TONG Ai-hua.Robin problem for a class of semilinear singularly\\[5pt] perturbed ODE systems[J].Journal of East China Normal University(Natural Science),2009,2009(4):69-77. |
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| Authors: | TONG Ai-hua |
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| Institution: | Department of Mathematics and Information;Zhejiang Ocean University;Zhoushan Zhejiang 316000;China |
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| Abstract: | The method of boundary function was used to construct uniformly valid asymptotic solutions of the Robin problem of a class of semilinear singularly perturbed equations,which are often used as models for chemical reactions.At the same time the existence and uniqueness of the solution and the estimation of the remainder for the problem were given. |
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| Keywords: | singular perturbation boundary functions stable manifold asymptotic solution |
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