On the Stability of One-Dimensional Wave Equation

We prove the generalized Hyers-Ulam stability of the one-dimensional wave equation, utt=c2uxx, in a class of twice continuously differentiable functions.

Bibliographic Details
Main Author: Soon-Mo Jung
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/978754
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spelling doaj-12d0977dba9e4532bc715ac6e8f8e8072020-11-25T01:57:02ZengHindawi LimitedThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/978754978754On the Stability of One-Dimensional Wave EquationSoon-Mo Jung0Mathematics Section, College of Science and Technology, Hongik University, Sejong 339-701, Republic of KoreaWe prove the generalized Hyers-Ulam stability of the one-dimensional wave equation, utt=c2uxx, in a class of twice continuously differentiable functions.http://dx.doi.org/10.1155/2013/978754
collection DOAJ
language English
format Article
sources DOAJ
author Soon-Mo Jung
spellingShingle Soon-Mo Jung
On the Stability of One-Dimensional Wave Equation
The Scientific World Journal
author_facet Soon-Mo Jung
author_sort Soon-Mo Jung
title On the Stability of One-Dimensional Wave Equation
title_short On the Stability of One-Dimensional Wave Equation
title_full On the Stability of One-Dimensional Wave Equation
title_fullStr On the Stability of One-Dimensional Wave Equation
title_full_unstemmed On the Stability of One-Dimensional Wave Equation
title_sort on the stability of one-dimensional wave equation
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2013-01-01
description We prove the generalized Hyers-Ulam stability of the one-dimensional wave equation, utt=c2uxx, in a class of twice continuously differentiable functions.
url http://dx.doi.org/10.1155/2013/978754
work_keys_str_mv AT soonmojung onthestabilityofonedimensionalwaveequation
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