Singularly perturbed phenomena of semilinear second order systems
type: Item
instance of: scholarly article
title: Singularly perturbed phenomena of semilinear second order systems
zbMATH Open document ID: 0734.34049
DOI: 10.1007/BF02014467
author: Zongchi Lin
author: Surong Lin
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1988-01-01T00:00:00Z
review text: The authors consider the boundary value problem \(\epsilon x''=F(t,x,\epsilon)\), \(a<t<b\), \(x(a,\epsilon)=A(\epsilon)\), \(x(b,\epsilon)=B(\epsilon)\). x, F, A, and B are N-dimensional Euclidean vectors. The authors examine the above general vector system and show that the scalar theory can be used to establish the existence and asymptotic behavior of the solution. Some definitions regarding stability are given in the paper.
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 4214430
zbMATH Keywords: singularly perturbed phenomena of semilinear second order systems
zbMATH Keywords: boundary value problem
zbMATH Keywords: existence
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: stability
reviewed by: Hussain S. Nur
MaRDI profile type: Publication
cites work: Nonlinear singular perturbation phenomena: theory and applications
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cites work: Singularly Perturbed Semilinear Systems
cites work: Boundary and angular layer behavior in singularly perturbed semilinear systems
cites work: Q3805092
cites work: A geometric method of studying two point boundary value problems for second order systems
full work available at URL: https://doi.org/10.1007/bf02014467
OpenAlex ID: W2019646965
description: scientific article; zbMATH DE number 4214430