| 一类三阶非线性方程组边值问题的奇摄动 |
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| 引用本文： | 汪志鸣,林武忠.一类三阶非线性方程组边值问题的奇摄动[J].华东师范大学学报(自然科学版),2001(2):9-17. |
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| 作者姓名： | 汪志鸣 林武忠 |
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| 作者单位： | 华东师范大学数学系, |
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| 摘 要： | 作者研究了一类三阶奇摄动非线性方程组边值问题的存在唯一性及渐近解的构造和一致有效性，通过找出两端边界层的不变流形，并且给出了边值条件解耦的条件，成功构造了边界层函数，作为应用，最后讨论了相应的方程式问题。
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| 关 键 词： | 奇摄动 不变流形 渐近解 一致有效 三阶非线性方程组 边值问题 边界层函数 |
| 文章编号： | 1000-5641(2001)02-0009-09 |
A Boundary Value Problem of Singular Perturbation for the Third Order Nonlinear ODE System |
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| WANG Zhi-ming,LIN Wu-zhong.A Boundary Value Problem of Singular Perturbation for the Third Order Nonlinear ODE System[J].Journal of East China Normal University(Natural Science),2001(2):9-17. |
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| Authors: | WANG Zhi-ming LIN Wu-zhong |
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| Abstract: | This paper presents singular perturbation of boundary value problems for a class of third order nonlinear vector systems. The existence and local uniqueness of Solutions, Constructions of asymptotic Solutions and their uniform validity of the problem are studied in the paper. Boundary functions are successfully constructed through finding out invariant manifolds at both end boundary layers and giving out decoupling conditions of boundary value conditions. As an application, a corresponding problem of an equation is discussed. |
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| Keywords: | singnlar perturbation invariant manifold asymptotic solution uniformly valid |
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