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一类三阶方程组的奇摄动非线性边值问题
引用本文:古晞,谢力. 一类三阶方程组的奇摄动非线性边值问题[J]. 安徽师范大学学报(自然科学版), 2002, 25(2): 109-111,122. DOI: 10.3969/j.issn.1001-2443.2002.02.002
作者姓名:古晞  谢力
作者单位:1. 同济大学,应用数学系,上海,200331;2. 上海理工大学,数学教研室,上海,200092
摘    要:本文讨论了一类三阶方程组的奇摄动非线性边值问题,利用边界层函数法给出了形式渐进解,并讨论了该解的有效性.

关 键 词:奇摄动  非线性边值问题  渐近展开
文章编号:1001-2443(2002)02-0109-03

A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEM FOR THIRD-ORDER SINGULARLY PERTURBED EQUATION
GU Xi , XIE Li. A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEM FOR THIRD-ORDER SINGULARLY PERTURBED EQUATION[J]. Journal of Anhui Normal University(Natural Science Edition), 2002, 25(2): 109-111,122. DOI: 10.3969/j.issn.1001-2443.2002.02.002
Authors:GU Xi    XIE Li
Affiliation:GU Xi 1, XIE Li 2
Abstract:A class of nonlinear boundary value problem for third-order singularly perturbed equation are considered,Using the boundary layer functions, the asymptotic expansion of the solutions in construct,and the validity of the solution is studied.
Keywords:singular perturbation  nonliner value problem  asymptotic expansion
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