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A Class of Shock Solutions for the Semilinear Singularly Perturbed Boundary Value Problem

王庚

西南交通大学学报(英文版)2004,Vol.12Issue(2):190-192,3.
西南交通大学学报(英文版)2004,Vol.12Issue(2):190-192,3.

A Class of Shock Solutions for the Semilinear Singularly Perturbed Boundary Value Problem

A Class of Shock Solutions for the Semilinear Singularly Perturbed Boundary Value Problem

王庚1

作者信息

  • 1. Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210003,China
  • 折叠

摘要

Abstract

The shock solution for the semilinear singularly perturbed two-point boundary value problem was studied. Under suitable conditions and using the theory of differential inequalities, the existence and asymptotic behavior of the solution for the original boundary value problems are discussed. The uniformly effective asymptotic expansion and estimation of solution u(x,ε) were obtained.

关键词

Shock solution/Semilinear equation/Boundary value problem/Singular perturbation

Key words

Shock solution/Semilinear equation/Boundary value problem/Singular perturbation

分类

数理科学

引用本文复制引用

王庚..A Class of Shock Solutions for the Semilinear Singularly Perturbed Boundary Value Problem[J].西南交通大学学报(英文版),2004,12(2):190-192,3.

基金项目

The project of Ministry of Education of China ( No.1283B01071 ). ( No.1283B01071 )

西南交通大学学报(英文版)

2662-4745

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