Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems
type: Item
instance of: scholarly article
title: Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems
zbMATH Open document ID: 0777.34019
DOI: 10.1016/0377-0427(93)90031-6
author: M. B. M. Elgindi
author: Mohamed El-Gebeily
author: Amin Boumenir
published in: Journal of Computational and Applied Mathematics
publication date: 1993-08-17T00:00:00Z
review text: The article deals with the existence and uniqueness of solution of a class of two-point singular nonlinear boundary value problems. It is proved that the problem has a unique solution only for certain boundary conditions under the assumption that the range of \(\partial f/\partial y\) does not intersect the closure of the spectrum of the singular differential operator, where \(f\) denotes the nonlinearity. The behavior of the solution at the singular point \(x=0\) is also studied.
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 218427
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: two-point singular nonlinear boundary value problems
reviewed by: Radu Precup
MaRDI profile type: Publication
full work available at URL: 0377-0427(93)90031-6
OpenAlex ID: W2047110175
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description: scientific article; zbMATH DE number 218427