| 具有积分边界条件的二阶半线性奇摄动方程脉冲状对照结构(英文) |
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| 引用本文： | 王爱峰.具有积分边界条件的二阶半线性奇摄动方程脉冲状对照结构(英文)[J].应用数学,2012,25(2):363-368. |
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| 作者姓名： | 王爱峰 |
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| 作者单位： | 华东师范大学数学系,上海200062;淮阴师范学院数学科学学院,江苏淮阴223300 |
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| 基金项目： | The National Natural Science Funds，The Natural Science Foundation of Shanghai，The National Laboratory of Biomacromolecules |
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| 摘 要： | 本文讨论了带有积分边界条件的二阶半线性奇摄动方程的脉冲状对照结构.借助于边界函数法,在一定条件下,构造了该问题的形式渐近解.利用缝接法证明了该问题解的存在性和形式渐近解的一致有效性.
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| 关 键 词： | 奇摄动 小参数 脉冲状对照结构 边界函数 缝接 |
The Spike-type Contrast Structure for a Second-order Semi-linear Singularly Perturbed Differential Equation with Integral Boundary Condition |
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| WANG Aifeng.The Spike-type Contrast Structure for a Second-order Semi-linear Singularly Perturbed Differential Equation with Integral Boundary Condition[J].Mathematica Applicata,2012,25(2):363-368. |
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| Authors: | WANG Aifeng |
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| Institution: | WANG Aifeng1,2(1.Department of Mathematics,East China Normal University,Shanghai 200062,China;2.School of Mathematical Science,Huaiyin Normal University,Huaian 223300,China) |
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| Abstract: | In this paper,we investigate the spike-type contrast structure for a second order semi-linear singularly perturbed differential equation with integral boundary condition.Under suitable conditions,using the boundary function method,we construct the asymptotic solution for this problem.At the same time,the existence of the solution and the uniform validity of the formal approximation are proved by the method of sewing connection. |
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| Keywords: | Singularly perturbed Small parameter Spike-type contrast structure Boundary function Sewing connection |
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