Stability of the Wave Equation with a Source

Stability of the Wave Equation with a Source

We prove the generalized Hyers-Ulam stability of the wave equation with a source, uttx,t-c2uxxx,t=fx,t, for a class of real-valued functions with continuous second partial derivatives in x and t.

Bibliographic Details
Main Authors: Soon-Mo Jung, Seungwook Min
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/8274159
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spelling doaj-d39c0211437140968e424382348a4a5b2020-11-25T02:28:47ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/82741598274159Stability of the Wave Equation with a SourceSoon-Mo Jung0Seungwook Min1Mathematics Section, College of Science and Technology, Hongik University, 30016 Sejong, Republic of KoreaDivision of Computer Science, Sangmyung University, 03016 Seoul, Republic of KoreaWe prove the generalized Hyers-Ulam stability of the wave equation with a source, uttx,t-c2uxxx,t=fx,t, for a class of real-valued functions with continuous second partial derivatives in x and t.http://dx.doi.org/10.1155/2018/8274159
collection DOAJ
language English
format Article
sources DOAJ
author Soon-Mo Jung
Seungwook Min
spellingShingle Soon-Mo Jung
Seungwook Min
Stability of the Wave Equation with a Source
Journal of Function Spaces
author_facet Soon-Mo Jung
Seungwook Min
author_sort Soon-Mo Jung
title Stability of the Wave Equation with a Source
title_short Stability of the Wave Equation with a Source
title_full Stability of the Wave Equation with a Source
title_fullStr Stability of the Wave Equation with a Source
title_full_unstemmed Stability of the Wave Equation with a Source
title_sort stability of the wave equation with a source
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2018-01-01
description We prove the generalized Hyers-Ulam stability of the wave equation with a source, uttx,t-c2uxxx,t=fx,t, for a class of real-valued functions with continuous second partial derivatives in x and t.
url http://dx.doi.org/10.1155/2018/8274159
work_keys_str_mv AT soonmojung stabilityofthewaveequationwithasource
AT seungwookmin stabilityofthewaveequationwithasource
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