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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

王爱峰

应用数学2012,Vol.25Issue(2):363-368,6.
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

王爱峰1

作者信息

  • 1. 华东师范大学数学系,上海200062;淮阴师范学院数学科学学院,江苏淮阴223300
  • 折叠

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)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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