| 具有积分边界条件的非线性二阶奇摄动问题 |
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| 引用本文： | 谢峰,张莲. 具有积分边界条件的非线性二阶奇摄动问题[J]. 华东师范大学学报(自然科学版), 2010, 2010(1): 1-5 |
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| 作者姓名： | 谢峰 张莲 |
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| 作者单位： | 东华大学应用数学系,上海,201620;上海高校计算科学E-研究院上海交通大学研究所,上海,200030;东华大学应用数学系,上海,201620 |
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| 基金项目： | 国家自然科学基金,上海市教委上海高校计算科学E-研究院项目 |
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| 摘 要： | 用边界层函数法构造出一类含有积分边界条件的非线性二阶奇摄动问题的形式渐近解,借助微分不等式理论证明了渐近解的一致有效性,并给出例子.
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| 关 键 词： | 奇摄动 渐近展开 积分边界条件 |
| 收稿时间： | 2009-05-22 |
| 修稿时间： | 2009-08-01 |
Non-linear second-order singularly perturbed problem with integral boundary condition |
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| XIE Feng,ZHANG Lian. Non-linear second-order singularly perturbed problem with integral boundary condition[J]. Journal of East China Normal University(Natural Science), 2010, 2010(1): 1-5 |
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| Authors: | XIE Feng ZHANG Lian |
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| Affiliation: | 1. Department of Applied Mathematics, Donghua University, Shanghai 201620, China; 2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai200030, China |
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| Abstract: | By the method of boundary layer function the formal asymptotic solution for the problem was constructed, and its uniformly validity was proved using the theory of differential inequalities. An example was given. |
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| Keywords: | singular perturbation asymptotic expansion integral boundary condition |
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