On the Stability of Wave Equation

Soon-Mo Jung

doi:10.1155/2013/910565

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Issue SI30 > Article

2013 On the Stability of Wave Equation

Soon-Mo Jung

Abstr. Appl. Anal. 2013(SI30): 1-6 (2013). DOI: 10.1155/2013/910565

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Abstract

We prove the generalized Hyers-Ulam stability of the wave equation, $\mathrm{\Delta }u=(1/{c}^{2}){u}_{tt}$ , in a class of twice continuously differentiable functions under some conditions.