The Existence and Asymptotic Estimates of Solutions for a Third-Order Nonlinear Singularly Perturbed Boundary Value Problem

被引：0
作者：
Xiaojie Lin
Jiang Liu
Can Wang
机构：
[1] Jiangsu Normal University,School of Mathematics and Statistics
来源：
Qualitative Theory of Dynamical Systems | 2019年 / 18卷
关键词：
Singular perturbation; Boundary layers; Upper and lower solutions; Asymptotic estimate; 34D15; 34E10; 34B27;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider a class of third-order nonlinear differential equation with singular perturbation subject to three-point boundary value conditions, whose solution exhibits a boundary layer at one endpoint. By using the Schauder fixed point theorem, Green’s function and the method of upper–lower solutions, we first establish an existence result of corresponding boundary value problem without perturbation. Furthermore, by constructing an appropriate lower solution-upper solution pair, as well as analysis technique, the existence and asymptotic estimates of the solutions for the singularly perturbed boundary value problems are obtained.
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页码：687 / 710
页数：23
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