Periodic boundary value problem for a second order integrodifferential equation of Hammerstein type
type: Item
instance of: scholarly article
title: Periodic boundary value problem for a second order integrodifferential equation of Hammerstein type
zbMATH Open document ID: 0665.45003
DOI: 10.1016/0096-3003(88)90073-2
published in: Applied Mathematics and Computation
publication date: 1988-01-01T00:00:00Z
review text: The authors prove a comparison result dealing with a second order integrodifferential inequality of Hammerstein type with periodic boundary conditions and then obtain the extremal solutions of a corresponding second order integrodifferential equation without increasingness assumption on the integral operator as limits of monotone iterates. An application is given to a fourth order mixed boundary value problem.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 4088249
zbMATH Keywords: second order integrodifferential inequality of Hammerstein type
zbMATH Keywords: periodic boundary conditions
zbMATH Keywords: extremal solutions
zbMATH Keywords: fourth order mixed boundary value problem
author: Shouchuan Hu
author: S. Leela
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
full work available at URL: 0096-3003(88)90073-2
OpenAlex ID: W2075274132
cites work: Q4727654
cites work: Periodic boundary value problems for second order integro-differential equations of volterra type
cites work: Periodic boundary value problem for integrodifferential equations of Hammerstein type
cites work: Q3807603
description: scientific article; zbMATH DE number 4088249