Third-order nonlinear singularly perturbed boundary value problem

被引：0

作者：

Wang, GC ^{[1
]}

Jin, L ^{[1
]}

机构：

[1] Dalian Inst Railway Technol, Dept Basic Sci & Engn, Dalian 116028, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2002年 / 23卷 / 06期

关键词：

third order boundary value problem; upper and lower solutions; Volterra type integral operator; existence and asymptotic estimates;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Third order singulary perturbed boundary value problem by means of differential inequality theories is studied. Based on the given results of second order nonlinear boundary value problem, the upper and lower solutions method of third order nonlinear boundary value problems by making use of Volterra type integral operator was established. Specific upper and lower solutions were constructed, and existence and asymptotic estimates of solutions under suitable conditions were obtained. The result shows that it seems to be new to apply these techniques to solving these kinds of third order singularly perturbed boundary value problem. An example is given to demonstrate the applications.

引用

页码：670 / 677

页数：8