Singular boundary value problems for quasi-differential equations
type: Item
instance of: scholarly article
title: Singular boundary value problems for quasi-differential equations
zbMATH Open document ID: 0886.34016
DOI: 10.1155/S016117129500072X
author: Paul W. Eloe
author: Johnny Henderson
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1995-08-15T00:00:00Z
full work available at URL: https://eudml.org/doc/47856
full work available at URL: issue-3.html
review text: This paper presents some existence results for singular quasi-differential equations of the form \[ L_ny+ f(x,L_0y,\dots, L_{n-2}y)=0, \quad L_iy(0)=0,\;0\leq i\leq n-2, \quad L_{n-1} y(1)=0; \] here \(L_i\) denotes the \(i\)th quasiderivative. The nonlinearity \(f\) may be singular at \(y_i=0\), \(1\leq i\leq n-1\). The technique used involves a fixed point theorem for operators that are decreasing with respect to a cone.
reviewed by: Donal O'Regan
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 785314
zbMATH Keywords: existence
zbMATH Keywords: singular quasi-differential equations
zbMATH Keywords: quasiderivative
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 785314