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具有双参数拟线性微分方程的奇摄动Robin边值问题(英文)
引用本文:周克浩,陈雯.具有双参数拟线性微分方程的奇摄动Robin边值问题(英文)[J].数学研究,2013(3):233-241.
作者姓名:周克浩  陈雯
作者单位:安徽师范大学数学计算机科学学院,安徽芜湖241003
基金项目:Supported by the NSFC(11201004); and the Natural Science Foundation from the Education Bureau of Anhui Province, China(KJ2011A135).
摘    要:主要研究一类具有双参数的拟线性微分方程的奇摄动Robin边值问题.利用微分不等式理论,对两参数分三种不同情形对解的构造进行分析.并得到相应问题在各情形下的渐近解和余项估计.

关 键 词:奇摄动  双参数  Robin问题  微分不等式

Singularly Perturbed Robin Boundary Value Problems for Quasilinear Differential Equation with Two Parameters
Zhou Kehao Chen Wen.Singularly Perturbed Robin Boundary Value Problems for Quasilinear Differential Equation with Two Parameters[J].Journal of Mathematical Study,2013(3):233-241.
Authors:Zhou Kehao Chen Wen
Institution:Zhou Kehao Chen Wen (Department of Mathematics, Anhui Normal University, Wuhu Anhui 241003)
Abstract:In this paper, a class of singularly perturbed Robin boundary value problems of quasi- linear differential equation with two parameters is studied. Using the method of differential in- equalities, the structure of solutions for the problems is discussed in three different cases about two small parameters. In addition, the asymptotic solutions have been found and the remainder term are given as well.
Keywords:Singular perturbation  Two parameters  Differential inequalities  Robin problem
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