Hyers-Ulam stability of a first order partial differential equation
type: Item
instance of: scholarly article
title: Hyers-Ulam stability of a first order partial differential equation
zbMATH Open document ID: 1236.39030
author: Nicolaie Lungu
author: Dorian Popa
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-10-24T00:00:00Z
review text: The authors prove that the existence of a global prime integral leads under appropriate conditions to the Hyers-Ulam stability of a linear partial differential equation. This is a very interesting new result. The reader is referred to the paper of \textit{A. Prástaro} and \textit{Th. M. Rassias} [Nonlinear Funct. Anal. Appl. 8, No. 2, 259--278 (2003; Zbl 1096.39028)], where Hyers-Ulam stability was studied for the first time for a partial differential equation.
reviewed by: Themistocles M. Rassias
Mathematics Subject Classification ID: 39B82
zbMATH DE Number: 5962589
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: partial differential equation
zbMATH Keywords: functional equation
zbMATH Keywords: differential equation
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.06.025
OpenAlex ID: W1973521661
Wikidata QID: Q115346153
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DOI: 10.1016/J.JMAA.2011.06.025
description: scientific article; zbMATH DE number 5962589