Existence of solutions for a singularly perturbed boundary value problem for the third order semi-linear differential equation with a turning point
type: Item
instance of: scholarly article
title: Existence of solutions for a singularly perturbed boundary value problem for the third order semi-linear differential equation with a turning point
zbMATH Open document ID: 0795.34048
DOI: 10.1007/BF02456646
author: Jianping Cai
author: Zongchi Lin
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1994-09-11T00:00:00Z
review text: The following boundary value problem is considered: \[ \varepsilon y'''= a(x,\varepsilon)y''+ f(x,y,y',\varepsilon), \qquad y'(-1)=A, \quad y(1)=B, \quad y'(1)=C, \] with \(\varepsilon>0\) small and \(a(0,0)=0\). Existence is proved by using the techniques of differential inequalities. Only Chinese references are given.
reviewed by: Vladimir Răsvan
Mathematics Subject Classification ID: 34E20
zbMATH DE Number: 527465
zbMATH Keywords: existence
zbMATH Keywords: boundary value problem
zbMATH Keywords: differential inequalities
Wikidata QID: Q115392152
MaRDI profile type: Publication
cites work: Q3820934
cites work: Q4538885
cites work: Q3808496
description: scientific article; zbMATH DE number 527465