Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem
type: Item
instance of: scholarly article
title: Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem
zbMATH Open document ID: 0845.34038
author: Junyu Wang
author: Zhenghua Lin
author: Wenjie Gao
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1995-12-03T00:00:00Z
review text: The paper uses the idea of upper and lower solutions to establish the existence of solutions to two-point boundary value problems for a class of nonlinear ordinary differential equations. The equations considered arise in the study of the p-Laplacian, diffusion theory, fluid mechanics and of a gas in a porous medium. The existence of similarity solutions to a certain Rayleigh problem is also considered.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 822822
zbMATH Keywords: upper and lower solutions
zbMATH Keywords: two-point boundary value problems
zbMATH Keywords: diffusion theory
zbMATH Keywords: fluid mechanics
zbMATH Keywords: similarity solutions
zbMATH Keywords: Rayleigh problem
reviewed by: B. D. Sleeman
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178225520
OpenAlex ID: W2064030695
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DOI: 10.2748/TMJ/1178225520
description: scientific article; zbMATH DE number 822822