Integral equations and inequalities of Volterra type for functions defined in partially ordered spaces
type: Item
instance of: scholarly article
title: Integral equations and inequalities of Volterra type for functions defined in partially ordered spaces
zbMATH Open document ID: 0627.45008
DOI: 10.1016/0022-247X(87)90103-X
author: Avram Ronkov
author: Drumi Bainov
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: The authors consider Volterra type integral operators acting in \(L_ 2(T)\), where T is a partially ordered topological space as well as equations and inequalities related to them. For the linear operators of this type it is shown that they are quasinilpotent. Explicit estimates for the solutions of linear integral inequalities are obtained. Nonlinear equations and inequalities are also considered.
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45N05
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 47H07
zbMATH DE Number: 4019708
zbMATH Keywords: Volterra type integral operators
zbMATH Keywords: partially ordered topological space
zbMATH Keywords: quasinilpotent
zbMATH Keywords: Explicit estimates
zbMATH Keywords: linear integral inequalities
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
cites work: On an abstract analog of the Bellman-Gronwall inequality
cites work: Nonlinear integral inequalities for functions defined in partially ordered topological spaces
cites work: Q5521075
cites work: Q3254057
cites work: Q5569338
description: scientific article; zbMATH DE number 4019708