Nonnegative solutions of two-point boundary value problems for nonlinear second order integrodifferential equations in Banach spaces
type: Item
instance of: scholarly article
title: Nonnegative solutions of two-point boundary value problems for nonlinear second order integrodifferential equations in Banach spaces
zbMATH Open document ID: 0726.45014
DOI: 10.1155/S1048953391000035
author: Dajun Guo
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46593
review text: The author combines the fixed point theory, fixed point index theory and cone theory to extend some results from \textit{J. Chandra}, \textit{V. Lakshmikantham} and \textit{A. R. Mitchell} [Nonlinear Anal., Theory Methods Appl. 2, 157-168 (1978; Zbl 0385.34035)] to the two-point boundary value problem \(-x=f(t,x,x,Tx,Sx),\) \(0\leq t\leq 1\), \(ax(0)-bx(0)=x_ 0,\) \(cx(1)+dx(1)=x_ 1,\) where \(Tx(t)=\int^{t}_{0}k(t,s)x(s)ds,\) \(Sx(t)=\int^{1}_{0}h(t,s)x(s)ds.\) The existence of nonnegative solutions is investigated.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45N05
zbMATH DE Number: 4198788
zbMATH Keywords: two-point boundary value problems
zbMATH Keywords: nonlinear second order integrodifferential equations
zbMATH Keywords: Banach spaces
zbMATH Keywords: fixed point theory
zbMATH Keywords: fixed point index theory
zbMATH Keywords: cone theory
zbMATH Keywords: nonnegative solutions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4198788