On the stability of the telegraph equation with time delay

On the stability of the telegraph equation with time delay

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....

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Ashyralyev, Allaberen, Agirseven, Deniz, Turk, Koray
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Boundary conditions
Boundary value problems
Delay
Dirichlet problem
Hilbert space
Stability
Time lag
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Beschreibung
Zusammenfassung: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4959636