Nonuniform nonresonance at the first eigenvalue for singular boundary value problems with sign changing nonlinearities
type: Item
instance of: scholarly article
title: Nonuniform nonresonance at the first eigenvalue for singular boundary value problems with sign changing nonlinearities
zbMATH Open document ID: 1021.34016
DOI: 10.1016/S0022-247X(02)00340-2
author: Ravi P. Agarwal
author: Donal O'Regan
author: V. Lakshmikantham
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: The authors prove an existence result for a two-point boundary value problem associated to a second-order ordinary differential equation where the nonlinearity presents a singularity. The statement of their theorem is rather complicated and the proof, carried out by topological degree arguments, takes many pages.
reviewed by: Alessandro Fonda
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1866634
zbMATH Keywords: existence
zbMATH Keywords: two-point boundary value problem
zbMATH Keywords: nonlinearity
zbMATH Keywords: singularity
MaRDI profile type: Publication
cites work: Some existence results for singular boundary value problems
cites work: Some singular, nonlinear differential equations arising in boundary layer theory
cites work: Singular nonlinear boundary value problems for second-order ordinary differential equations
cites work: Positive Solutions of Negative Exponent Generalized Emden–Fowler Boundary Value Problems
cites work: Positive solutions to certain classes of singular nonlinear second order boundary value problems
cites work: Singular problems: An upper and lower solution approach
full work available at URL: s0022-247x(02)00340-2
OpenAlex ID: W1977670644
description: scientific article; zbMATH DE number 1866634