On the Stability of Heat Equation

We prove the generalized Hyers-Ulam stability of the heat equation, , in a class of twice continuously differentiable functions under certain conditions.

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Bibliographic Details
Main Authors: Balázs Hegyi, Soon-Mo Jung
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/202373
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author Balázs Hegyi
Soon-Mo Jung
author_facet Balázs Hegyi
Soon-Mo Jung
author_sort Balázs Hegyi
collection DOAJ
description We prove the generalized Hyers-Ulam stability of the heat equation, , in a class of twice continuously differentiable functions under certain conditions.
format Article
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institution Kabale University
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1687-0409
language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-b1291ee6807748cfb79ccb57c95398cb2025-02-03T01:13:01ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/202373202373On the Stability of Heat EquationBalázs Hegyi0Soon-Mo Jung1Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava, SlovakiaMathematics Section, College of Science and Technology, Hongik University, Sejong 339-701, Republic of KoreaWe prove the generalized Hyers-Ulam stability of the heat equation, , in a class of twice continuously differentiable functions under certain conditions.http://dx.doi.org/10.1155/2013/202373
spellingShingle Balázs Hegyi
Soon-Mo Jung
On the Stability of Heat Equation
Abstract and Applied Analysis
title On the Stability of Heat Equation
title_full On the Stability of Heat Equation
title_fullStr On the Stability of Heat Equation
title_full_unstemmed On the Stability of Heat Equation
title_short On the Stability of Heat Equation
title_sort on the stability of heat equation
url http://dx.doi.org/10.1155/2013/202373
work_keys_str_mv AT balazshegyi onthestabilityofheatequation
AT soonmojung onthestabilityofheatequation