应用数学2012,Vol.25Issue(2):363-368,6.
具有积分边界条件的二阶半线性奇摄动方程脉冲状对照结构
The Spike-type Contrast Structure for a Second-order Semi-linear Singularly Perturbed Differential Equation with Integral Boundary Condition
摘要
Abstract
In this paper,we investigate the spike-type contrast structure for a second order semi-linear singularly perturbed differential equation with integral boundary condition.Under suitable conditions,using the boundary function method,we construct the asymptotic solution for this problem.At the same time,the,,xistence of the solution and the uniform validity of the formal approximation are proved by the method of sewing connection.关键词
奇摄动/小参数/脉冲状对照结构/边界函数/缝接Key words
Singularly perturbed/Small parameter/Spike-type contrast structure/Boundary function/Sewing connection分类
数理科学引用本文复制引用
王爱峰..具有积分边界条件的二阶半线性奇摄动方程脉冲状对照结构[J].应用数学,2012,25(2):363-368,6.基金项目
Supported by the National Natural Science Funds(11071075),the Natural Science Foundation of Shanghai(10ZR1409200),the National Laboratory of Biomacromolecules,Institute of Biophysics,Chinese Academy of Sciences,the E-Institutes of Shanghai Municipal Education Commissions (E03004) (11071075)