| 一类双参数奇摄动边值问题的研究 |
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| 引用本文： | 纪明亮,胡潇.一类双参数奇摄动边值问题的研究[J].数学研究,2013(1):80-84. |
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| 作者姓名： | 纪明亮 胡潇 |
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| 作者单位： | 安徽师范大学数学计算机科学学院 |
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| 基金项目： | 国家自然科学基金(10901103);安徽高校省级自然科学基金(KJ2011A135) |
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| 摘 要： | 研究了一类双参数高阶非线性奇摄动方程边值问题,利用合成展开法构造出形式渐近解,再利用微分不等式理论证明了解的存在一致有效性.
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| 关 键 词： | 奇摄动 非线性 边值条件 双参数 |
A Class of Singulary Perturbation Boundary Value Problems with Two Parameters |
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| Ji Mingliang Hu Xiao.A Class of Singulary Perturbation Boundary Value Problems with Two Parameters[J].Journal of Mathematical Study,2013(1):80-84. |
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| Authors: | Ji Mingliang Hu Xiao |
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| Institution: | Ji Mingliang Hu Xiao (College of Mathematics and Computer Science, Anhui Normal University,Wuhu Anhui 241003) |
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| Abstract: | A class of basal model for the problem with two parameters is studied Nonlinear Singulary perturbed boundary value Using the method of composite expansion,the formal asymptotic expansion of solution of tile problem is constructed, then using the theory of differential inequalities, the existence of solution and the uniformly validity of the expansion are proved. |
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| Keywords: | Singular perturbation Nonlinear Boundary value Conditions Two parameters |
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