On the analytical and approximate solutions of \(\epsilon y''=yy'\)
type: Item
instance of: scholarly article
title: On the analytical and approximate solutions of \(\epsilon y''=yy'\)
zbMATH Open document ID: 0589.34017
DOI: 10.1016/0022-247X(85)90240-9
author: G. Barbançon
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The author considers the boundary value problem \(\epsilon y''=yy'\), \(y(- 1)=\alpha\), \(y(1)=\beta\), where \(\epsilon\) is assumed to be a given infinitely small real strictly positive number, \(\alpha\) and \(\beta\) real numbers that are not infinitely large and compares his results with those of \textit{S. M. Roberts} [ibid. 97, 245-265 (1983; Zbl 0523.34003)].
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 3946655
zbMATH Keywords: second order differential equation
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
cites work: Nonstandard analysis. A practical guide with applications
cites work: The analytical and approximate solutions of epsilony''=yy'
cites work: Internal set theory: A new approach to nonstandard analysis
cites work: Non-standard analysis
cites work: Q3852506
description: scientific article; zbMATH DE number 3946655