Measure differential equations with a general nonlocal condition
type: Item
instance of: scholarly article
title: Measure differential equations with a general nonlocal condition
author: Claudio A. Gallegos
published in: Set-Valued and Variational Analysis
publication date: 2024-08-30T00:00:00Z
review text: The paper is concerned with the existence of regulated solutions for measure differential equations with a nonlocal condition involving a set-valued map. The first result, imposing Kurzweil-Stieltjes integrability together with a powerful convergence result, is available in finite dimensional spaces. The second one, assuming Lebesgue-Stieltjes integrability together with conditions expressed in terms of Hausdorff measure of non-compactness, works in general Banach spaces.
reviewed by: Bianca Satco
Mathematics Subject Classification ID: 34A06
Mathematics Subject Classification ID: 26A39
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 7903785
zbMATH Keywords: measure differential equations
zbMATH Keywords: Kurzweil-Stieltjes integral
zbMATH Keywords: Lebesgue-Stieltjes integral
zbMATH Keywords: regulated functions
zbMATH Keywords: nonlocal conditions
MaRDI profile type: Publication
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DOI: 10.1007/S11228-024-00723-5
description: scientific article; zbMATH DE number 7903785