On the Stability of the Telegraph Equation with Time Delay

Koray Turk, Allaberen Ashyralyev, Deniz Agirseven


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


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