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