On the stability of the telegraph equation with time delay


Ashyralyev A., AĞIRSEVEN D., TÜRK K.

Filomat, vol.34, no.4, pp.1251-1259, 2020 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 34 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.2298/fil2004251a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.1251-1259
  • Keywords: Delay telegraph equations, Difference schemes, Initial and boundary value problems, Stability
  • Trakya University Affiliated: Yes

Abstract

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.