| 一类具非线性边值条件的非线性方程的奇摄动问题 |
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| 引用本文： | 吴有萍,姚静荪.一类具非线性边值条件的非线性方程的奇摄动问题[J].应用数学与计算数学学报,2011,25(2):185-193. |
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| 作者姓名： | 吴有萍 姚静荪 |
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| 作者单位： | 安徽师范大学数学系,安徽芜湖,241000 |
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| 基金项目： | 国家自然科学基金资助项目，安徽高校省级自然科学基金资助项目 |
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| 摘 要： | 研究了一类具非线性边值条件的非线性方程的奇摄动问题,运用合成展开法构造了问题的形式渐近解,并用微分不等式理论证明了所得渐近解的一致有效性.
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| 关 键 词： | 奇摄动 非线性方程 非线性边值条件 |
A class of singularly perturbed problems for nonlinear equations with nonlinear boundary value conditions |
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| WU You-ping,YAO Jing-sun.A class of singularly perturbed problems for nonlinear equations with nonlinear boundary value conditions[J].Communication on Applied Mathematics and Computation,2011,25(2):185-193. |
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| Authors: | WU You-ping YAO Jing-sun |
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| Institution: | WU You-ping,YAO Jing-sun (Department of Mathematics,Anhui Normal University,Wuhu 241000,Anhui Province,China) |
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| Abstract: | A class of singularly perturbed problems for nonlinear equations with nonlinear boundary value conditions are considered.Using the method of composite expansion,the formal asymptotic expansion of solution to the problems are constructed.Then,according to the theory of differential inequalities,the existence of solution and the uniform validity of the expansion are proved. |
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| Keywords: | singular perturbation nonlinear equation nonlinear boundary value conditions |
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