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On the Stability of One-Dimensional Wave Equation

We prove the generalized Hyers-Ulam stability of the one-dimensional wave equation, u (tt) = c (2) u (xx), in a class of twice continuously differentiable functions.

Detalles Bibliográficos
Autor principal: Jung, Soon-Mo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3826332/
https://www.ncbi.nlm.nih.gov/pubmed/24288519
http://dx.doi.org/10.1155/2013/978754
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author Jung, Soon-Mo
author_facet Jung, Soon-Mo
author_sort Jung, Soon-Mo
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description We prove the generalized Hyers-Ulam stability of the one-dimensional wave equation, u (tt) = c (2) u (xx), in a class of twice continuously differentiable functions.
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spelling pubmed-38263322013-11-28 On the Stability of One-Dimensional Wave Equation Jung, Soon-Mo ScientificWorldJournal Research Article We prove the generalized Hyers-Ulam stability of the one-dimensional wave equation, u (tt) = c (2) u (xx), in a class of twice continuously differentiable functions. Hindawi Publishing Corporation 2013-10-27 /pmc/articles/PMC3826332/ /pubmed/24288519 http://dx.doi.org/10.1155/2013/978754 Text en Copyright © 2013 Soon-Mo Jung. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Jung, Soon-Mo
On the Stability of One-Dimensional Wave Equation
title 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_short On the Stability of One-Dimensional Wave Equation
title_sort on the stability of one-dimensional wave equation
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3826332/
https://www.ncbi.nlm.nih.gov/pubmed/24288519
http://dx.doi.org/10.1155/2013/978754
work_keys_str_mv AT jungsoonmo onthestabilityofonedimensionalwaveequation