On Ulam stability of the second order linear differential equation

We obtain a result on Ulam stability for a linear differential equation in Banach spaces. As application we give a result on the stability of Heun’s differential equation.

Bibliographic Details
Main Authors:	Dorian Popa, Georgiana Pugna, Ioan Raşa
Format:	Article
Language:	English
Published:	ATNAA 2018-06-01
Series:	Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:	Ulam stability Banach spaces Heun Equation
Online Access:	http://dergipark.gov.tr/download/article-file/596112

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spelling	doaj-c9918a85d32d44b5b59689acb1cfca7a2020-11-25T00:29:11ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482018-06-0122106112On Ulam stability of the second order linear differential equationDorian Popa0Georgiana Pugna1 Ioan Raşa2Technical University of Cluj-Napoca, Department of Mathematics, 28 Memorandumului Street, 400114, Cluj-Napoca, Romania.Technical University of Cluj-Napoca, Department of Mathematics, 28 Memorandumului Street, 400114, Cluj-Napoca, Romania.Technical University of Cluj-Napoca, Department of Mathematics, 28 Memorandumului Street, 400114, Cluj-Napoca, Romania.We obtain a result on Ulam stability for a linear differential equation in Banach spaces. As application we give a result on the stability of Heun’s differential equation. http://dergipark.gov.tr/download/article-file/596112Ulam stabilityBanach spacesHeun Equation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Dorian Popa Georgiana Pugna Ioan Raşa
spellingShingle	Dorian Popa Georgiana Pugna Ioan Raşa On Ulam stability of the second order linear differential equation Advances in the Theory of Nonlinear Analysis and its Applications Ulam stability Banach spaces Heun Equation
author_facet	Dorian Popa Georgiana Pugna Ioan Raşa
author_sort	Dorian Popa
title	On Ulam stability of the second order linear differential equation
title_short	On Ulam stability of the second order linear differential equation
title_full	On Ulam stability of the second order linear differential equation
title_fullStr	On Ulam stability of the second order linear differential equation
title_full_unstemmed	On Ulam stability of the second order linear differential equation
title_sort	on ulam stability of the second order linear differential equation
publisher	ATNAA
series	Advances in the Theory of Nonlinear Analysis and its Applications
issn	2587-2648 2587-2648
publishDate	2018-06-01
description	We obtain a result on Ulam stability for a linear differential equation in Banach spaces. As application we give a result on the stability of Heun’s differential equation.
topic	Ulam stability Banach spaces Heun Equation
url	http://dergipark.gov.tr/download/article-file/596112
work_keys_str_mv	AT dorianpopa onulamstabilityofthesecondorderlineardifferentialequation AT georgianapugna onulamstabilityofthesecondorderlineardifferentialequation AT ioanrasa onulamstabilityofthesecondorderlineardifferentialequation
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On Ulam stability of the second order linear differential equation

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