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On the stability of the telegraph equation with time delay

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In this study, the initial value problem for telegraph equations with delay in a Hilbert space is considered. Theorem on stability estimates for the solution of this problem is established.… Click to show full abstract

In this study, the initial value problem for telegraph equations with delay in a Hilbert space is considered. Theorem on stability estimates for the solution of this problem is established. As a test problem, one-dimensional delay telegraph equation with Dirichlet boundary conditions is considered. Numerical solutions of this problem are obtained by first and second order of accuracy difference schemes.

Keywords: telegraph equation; stability telegraph; problem; delay

Journal Title: Filomat
Year Published: 2020

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