On the stability of the telegraph equation with time delay

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. © 2020, University of Nis. All rights reserved.

Authors
Ashyralyev A. 1, 2, 3, 4 , Agirseven D.5 , Turk K.5
Journal
Filomat
Publisher
University of Nis
Number of issue
4
Language
English
Pages
1251-1259
Status
Published
Link
External link
DOI
10.2298/FIL2004251A
Volume
34
Year
2020
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia, Cyprus
  • 2 Mersin 10, Turkey
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 5 Department of Mathematics, Trakya University, Edirne, Turkey
Keywords
Delay telegraph equations; Difference schemes; Initial and boundary value problems; Stability
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