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《Journal of Anhui Normal University(Natural Science)》 2006-02
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Asymptotic Solution to a Nonlinear Singularly Perturbed Problem

YAO Jing-sun(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China)  
A nonlinear singularly perturbed boundary value problem for the differential equation of second order is considered.Firstly,the outer solution to the problem is constructed in a series of asymptotic array.Secondly, using the contracted variable the internal solution is obtained.Finally,using the matched method the uniform validly asymptotic solution to the original singularly perturbed problem is given.
【CateGory Index】: O175.1
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