On the stability of the telegraph equation with time delay

Ashyralyev A., AĞIRSEVEN D., TÜRK K.

Filomat, cilt.34, sa.4, ss.1251-1259, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/fil2004251a
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.1251-1259
  • Anahtar Kelimeler: Delay telegraph equations, Difference schemes, Initial and boundary value problems, Stability
  • Trakya Üniversitesi Adresli: Evet

Özet

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.