A Fixed Point Approach to the Stability of an Integral Equation Related to the Wave Equation

We will apply the fixed point method for proving the generalized Hyers-Ulam stability of the integral equation 1/2c∫x-ctx+ctuτ,t0dτ=ux,t which is strongly related to the wave equation.

Saved in:
Bibliographic Details
Main Author: Soon-Mo Jung
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/612576
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832546624078872576
author Soon-Mo Jung
author_facet Soon-Mo Jung
author_sort Soon-Mo Jung
collection DOAJ
description We will apply the fixed point method for proving the generalized Hyers-Ulam stability of the integral equation 1/2c∫x-ctx+ctuτ,t0dτ=ux,t which is strongly related to the wave equation.
format Article
id doaj-art-ae8600400f214871a249dc0050e5641d
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-ae8600400f214871a249dc0050e5641d2025-02-03T06:47:54ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/612576612576A Fixed Point Approach to the Stability of an Integral Equation Related to the Wave EquationSoon-Mo Jung0Mathematics Section, College of Science and Technology, Hongik University, Sejong 339-701, Republic of KoreaWe will apply the fixed point method for proving the generalized Hyers-Ulam stability of the integral equation 1/2c∫x-ctx+ctuτ,t0dτ=ux,t which is strongly related to the wave equation.http://dx.doi.org/10.1155/2013/612576
spellingShingle Soon-Mo Jung
A Fixed Point Approach to the Stability of an Integral Equation Related to the Wave Equation
Abstract and Applied Analysis
title A Fixed Point Approach to the Stability of an Integral Equation Related to the Wave Equation
title_full A Fixed Point Approach to the Stability of an Integral Equation Related to the Wave Equation
title_fullStr A Fixed Point Approach to the Stability of an Integral Equation Related to the Wave Equation
title_full_unstemmed A Fixed Point Approach to the Stability of an Integral Equation Related to the Wave Equation
title_short A Fixed Point Approach to the Stability of an Integral Equation Related to the Wave Equation
title_sort fixed point approach to the stability of an integral equation related to the wave equation
url http://dx.doi.org/10.1155/2013/612576
work_keys_str_mv AT soonmojung afixedpointapproachtothestabilityofanintegralequationrelatedtothewaveequation
AT soonmojung fixedpointapproachtothestabilityofanintegralequationrelatedtothewaveequation