A method for solving singularly perturbed systems containing singular manifolds
type: Item
instance of: scholarly article
title: A method for solving singularly perturbed systems containing singular manifolds
zbMATH Open document ID: 0731.58048
DOI: 10.1007/BF00962057
author: Zhong-Mei Gu
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1991-01-01T00:00:00Z
review text: Singularly perturbed systems have been subject to extensive recent investigations, but most of the theoretical work was under strong assumptions such as analyticity of the right-hand side of the differential equation. However, in practice, people often meet problems in which the right-hand side has some singularities. The author considers the behavior of solutions of a singularly perturbed system containing singular manifolds.
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 4209156
zbMATH Keywords: singularly perturbed system
zbMATH Keywords: singular manifolds
reviewed by: Jingxian Sun
MaRDI profile type: Publication
cites work: Applications of centre manifold theory
cites work: On Singular Singularly Perturbed Initial Value Problems
cites work: Perturbation methods in applied mathematics
cites work: Q3345088
cites work: Analytical and Numerical Methods for Nonlinear Singular Singularly-Perturbed Initial Value Problems
cites work: Q3682833
cites work: Global bifurcations and chaos. Analytical methods
full work available at URL: https://doi.org/10.1007/bf00962057
OpenAlex ID: W2034007597
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description: scientific article; zbMATH DE number 4209156