Boundary value problems for singular second-order functional differential equations
type: Item
instance of: scholarly article
title: Boundary value problems for singular second-order functional differential equations
zbMATH Open document ID: 0816.34046
DOI: 10.1016/0377-0427(94)90065-5
published in: Journal of Computational and Applied Mathematics
publication date: 1995-02-09T00:00:00Z
review text: A fixed-point theorem on cones is used to obtain existence of positive solutions to the boundary value problem \(y''(x) + f(x,y(r(x))) = 0\), \(0 < x < 1\), \(\alpha y'(x) - \beta y(x) = \mu(x)\), \(x \in [a,0]\), \(\gamma y'(x) + \delta y(x) = \nu (x)\), \(x \in [1,b]\), in the case \(f(x,y) \to \infty\) for \(y \to 0\). A uniqueness result is also given. The results extend those of \textit{J. A. Gatica}, \textit{V. Oliker} and \textit{P. Waltman} [J. Differ. Equations 79, 62-78 (1989; Zbl 0685.34017)].
Mathematics Subject Classification ID: 34K10
zbMATH DE Number: 721017
zbMATH Keywords: second order equations with deviating argument
zbMATH Keywords: existence of positive solutions
zbMATH Keywords: boundary value problem
zbMATH Keywords: uniqueness
author: Lynn Erbe
author: Qingkai Kong
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)90065-5
OpenAlex ID: W2027247693
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description: scientific article; zbMATH DE number 721017