A remark on singular perturbation methods
type: Item
instance of: scholarly article
title: A remark on singular perturbation methods
zbMATH Open document ID: 0583.34040
author: Masayuki Ito
published in: Hiroshima Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: The author improves a result of \textit{P. C. Fife} [J. Math. Anal. Appl. 54, 497-521 (1976; Zbl 0345.34044)] on the existence and asymptotic behavior of solutions of the singularly perturbed system \(\epsilon^ 2u''=f(u,v),\quad v''=g(u,v),\) where u(0), u(1), v(0) and v(1) are prescribed, by removing a boundedness condition on the partial derivative \(g_ u\).
Mathematics Subject Classification ID: 34D15
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 3933542
zbMATH Keywords: boundary layer
zbMATH Keywords: second order differential equation
zbMATH Keywords: singularly perturbed system
zbMATH Keywords: boundedness condition
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3933542