Existence of solutions for periodic boundary value problems for second-order integro-differential equations
type: Item
instance of: scholarly article
title: Existence of solutions for periodic boundary value problems for second-order integro-differential equations
zbMATH Open document ID: 0962.45005
DOI: 10.1007/BF02459015
author: Shihuang Hong
author: Shigeng Hu
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2001-06-24T00:00:00Z
review text: By establishing a comparison result and using a monotone iterative method, the existence for minimal and maximal solutions of periodic boundary value problems for second-order nonlinear integro-differential equations in Banach spaces is proved.
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45M15
zbMATH DE Number: 1490826
zbMATH Keywords: comparison result
zbMATH Keywords: monotone iterative method
zbMATH Keywords: minimal and maximal solutions
zbMATH Keywords: periodic boundary value problems
zbMATH Keywords: second-order nonlinear integro-differential equations
zbMATH Keywords: Banach spaces
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
cites work: Periodic boundary value problems for integro-differential equations of volterra type
cites work: On monotone iterative method for periodic boundary value problems of nonlinear integro-differential equations
cites work: Initial value problems for second order impulsive integro-differential equations in Banach spaces
cites work: Periodic boundary value problems of first and second order differential equations
full work available at URL: https://doi.org/10.1007/bf02459015
OpenAlex ID: W288123921
description: scientific article; zbMATH DE number 1490826