Existence and comparison results for operator and differential equations in abstract spaces
type: Item
instance of: scholarly article
title: Existence and comparison results for operator and differential equations in abstract spaces
zbMATH Open document ID: 1021.34054
DOI: 10.1016/S0022-247X(02)00310-4
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: The author proves a fixed-point theorem for increasing mappings \(G:P\to P\) (\(P\) a partially ordered set), together with monotone increasing dependence of selected fixed-points with respect to \(G\). The results are applied to discontinuous implicit functional-differential equations in ordered Banach spaces. Existence and comparison results are established, and several examples are discussed.
reviewed by: Gerd Herzog
Mathematics Subject Classification ID: 34K12
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1866647
zbMATH Keywords: fixed-point theorem
zbMATH Keywords: partially ordered sets
zbMATH Keywords: functional-differential equations
author: S. Heikkilä
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1866647