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含积分算子双参数拟线性系统的奇摄动
引用本文:黄蔚章.含积分算子双参数拟线性系统的奇摄动[J].宁夏大学学报(自然科学版),1998,19(3):202-207.
作者姓名:黄蔚章
作者单位:福建师范大学福清分校数学系
摘    要:研究含积分算子并伴有边界摄动的双参数拟线性系统边值问题的奇摄动,在适当的条件下,通过对角化技巧证明了解的存在,并获得了摄动解关于双参数的双重渐近展开式。

关 键 词:奇摄动  双参数  边界摄动  对角化  拟线性系统

SINGULAR PERTURBATION OF QUASI LINEAR SYSTEM WITH INTEGRAL OPERATOR AND TWO PARAMETERS
Huang,Weizhang.SINGULAR PERTURBATION OF QUASI LINEAR SYSTEM WITH INTEGRAL OPERATOR AND TWO PARAMETERS[J].Journal of Ningxia University(Natural Science Edition),1998,19(3):202-207.
Authors:Huang  Weizhang
Institution:Huang Weizhang Department of Mathematics,Fujian Normal University Fuqing Branch,350300,Fuqing,China
Abstract:This paper deals with the singular perturbation of boundary value problem for quasi linear system, involving integral operator and two parameters, with boundary perturbation. Under the proper conditions, by the technique of diagonalization, the existence of the solution is proved and the doubly asymptotic expansion, with respect to the parameters, of the solution is obtained.
Keywords:singular  perturbation    double  parameters    boundary  perturbation    diagonalization  
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