Differential equations with non-absolutely integrable functions in ordered Banach spaces
type: Item
instance of: scholarly article
title: Differential equations with non-absolutely integrable functions in ordered Banach spaces
zbMATH Open document ID: 1203.34093
author: M. Kumpulainen
author: S. Heikkilä
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-04-21T00:00:00Z
review text: The authors consider an initial values problem for an ordinary differential equation involving functions which are Henstock variationally integrable with values in an ordered Banach space \(E\). They prove the existence of smallest and greatest solutions in a certain subset of the space of \(E\)-valued variationally Henstock integrable functions. Illustrative examples are presented.
reviewed by: M. Federson
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 28B15
Mathematics Subject Classification ID: 26A39
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 5696637
zbMATH Keywords: HL integrability
zbMATH Keywords: ordered Banach spaces
zbMATH Keywords: regular order cone
zbMATH Keywords: initial values problem
zbMATH Keywords: smalest and greatest solutions
MaRDI profile type: Publication
full work available at URL: j.na.2010.01.040
OpenAlex ID: W1978095327
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DOI: 10.1016/J.NA.2010.01.040
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description: scientific article; zbMATH DE number 5696637