Initial Layer Phenomena for a Class of Singular Perturbed Nonlinear System with Slow Variables

HUANG Wei-zhang; CHEN YU-sen

Volume 25 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(7): 763-770

HUANG Wei-zhang, CHEN YU-sen. Initial Layer Phenomena for a Class of Singular Perturbed Nonlinear System with Slow Variables[J]. Applied Mathematics and Mechanics, 2004, 25(7): 763-770.

Citation:

HUANG Wei-zhang, CHEN YU-sen. Initial Layer Phenomena for a Class of Singular Perturbed Nonlinear System with Slow Variables[J]. Applied Mathematics and Mechanics, 2004, 25(7): 763-770.

Citation:

HUANG Wei-zhang, CHEN YU-sen. Initial Layer Phenomena for a Class of Singular Perturbed Nonlinear System with Slow Variables[J]. Applied Mathematics and Mechanics, 2004, 25(7): 763-770.

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Initial Layer Phenomena for a Class of Singular Perturbed Nonlinear System with Slow Variables

Fujian Normal Uiversity Fuqing Branch, Fuqing, Fujian 350300, P. R. China

Received Date: 2002-03-03
Rev Recd Date: 2003-11-02
Publish Date: 2004-07-15

Abstract

Abstract

The initial layer phenomena for a class of singular perturbe d nonlinear system with slow variables are studied.By introducing stretchy variables with different quantity levels and constructing the correction term of initial layer with different "thickness",the N-order approximate expansion of perturbed solution concerning small parameter is obtained,and the "multiple layer" phenomena of perturbed solutins are revealed.Using the fixed point theorem,the existence of perturbed solution is proved,and the uniformly valid asymptotic expansion of the solutions is given as well.
- singular perturbation,
- initial layer,
- asymptotic expansion

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References(3)

References

[1]	陈育森，黄蔚章.奇摄动非线性系统初值问题的套层解[J].应用数学学报, 2001，24（1）：49—55.
[2]	陈育森，黄蔚章.双参数奇摄动非线性系统套层解[A].见:陈树辉等编.现代数学和力学会议文集（MMM-Ⅷ）[C].广州：中山大学出版社，2001，446—451.
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