Positive solutions for second order functional differential equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1001.34017
publication date: 2002-01-22T00:00:00Z
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 1693114
zbMATH Keywords: positive solutions
zbMATH Keywords: functional boundary conditions
zbMATH Keywords: second-order
author: Ruyun Ma
MaRDI profile type: Publication
title: Positive solutions for second order functional differential equations
published in: Nonlinear Studies
review text: The existence of positive solutions to second-order equations of the form \(u''+ a(t) f(u)= 0\) is studied under integral boundary conditions. These functional conditions generalize multipoint boundary conditions. The nonlinearity \(f\) is considered separately to be sublinear or superlinear. The proof is based on a fixed-point theorem in cones and a verification of related analytical inequalities.
reviewed by: Jan Andres
description: scientific article; zbMATH DE number 1693114