Formation of boundary layers for singularly perturbed fourth-order ordinary differential equations with the Lidstone boundary conditions

被引：9

作者：

Vrabel, R. ^{[1
]}

机构：

[1] Slovak Univ Technol Bratislava, Fac Mat Sci & Technol, Bottova 25, Trnava 91724, Slovakia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 440卷 / 01期

关键词：

Fourth-order ordinary differential equation; Lidstone boundary value problem; Singular perturbation; Boundary layer; BEAM;

D O I：

10.1016/j.jmaa.2016.03.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we concentrate on the aspect of the boundary layer phenomenon that represents a typical asymptotic behavior mode of singularly perturbed systems at the endpoints of the considered interval. We provide a detailed analysis of this phenomenon for the nonlinear fourth-order ordinary differential equations subject to the Lidstone boundary conditions by an analysis of the integral equation associated with an original boundary value problem. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：65 / 73

页数：9

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