| 二阶非线性奇摄动方程脉冲状空间对照结构 |
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| 引用本文： | 王爱峰,倪明康.二阶非线性奇摄动方程脉冲状空间对照结构[J].数学物理学报(A辑),2009,29(1):208-216. |
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| 作者姓名： | 王爱峰 倪明康 |
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| 作者单位： | 王爱峰,Wang Aifeng(淮阴师范学院数学系,江苏淮安,223001);倪明康,Ni Mingkang(华东师范大学数学系,上海,200062)
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| 基金项目： | 浦江人才计划，地理信息科学教育部重点实验室开放研究基金 |
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| 摘 要： | 该文对一类二阶非线性奇摄动方程进行研究, 指出该方程在一定条件下可以产生脉冲状空间对照结构, 并用边界函数法构造该问题的渐近解, 证明解的存在性并得到渐近解的误差估计.
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| 关 键 词： | 奇异摄动 脉冲解 小参数 边界函数. |
| 收稿时间： | 2007-03-15 |
| 修稿时间： | 2008-10-18 |
The Spike-type Contrast Structures for a Nonlinear Singularly Perturbed Second Order Equation |
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| Wang Aifeng,Ni Mingkang.The Spike-type Contrast Structures for a Nonlinear Singularly Perturbed Second Order Equation[J].Acta Mathematica Scientia,2009,29(1):208-216. |
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| Authors: | Wang Aifeng Ni Mingkang |
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| Institution: | (1.Huaiyin Teachers College, Jiangsu Huaian 223001; 2.East China Normal University, Shanghai 200062) |
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| Abstract: | In this paper, a kind of nonlinear singulary perturbed second order equation is considered. Under suitable conditions, a contrast structure solution of this problem is obtained. Using the method of boundary function the formula asymptotic expansions of the solution is constructed. At the same time, the existence of the solution is proved and the error estimate of this asymptotic solution is obtained. |
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| Keywords: | Singularly perturbedzz Spike-type solutionzz Small parameterzz Boundary function zz |
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