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

被引：0
|
作者：
王庚
机构：
[1] Department of Applied Mathematics
[2] Nanjing University of Finance and Economics Nanjing 210003
[3] China
来源：
Railway Engineering Science | 2004年 / 02期
关键词：
Shock solution; Semilinear equation; Boundary value problem; Singular perturbation;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
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.
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页码：190 / 192
页数：3
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