Open AccessOn the stability of the telegraph equation with time delay
Author(s) -
Allaberen Ashyralyev,
Deniz Ağırseven,
Koray Turk
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2004251a
Subject(s) - mathematics , telegrapher's equations , stability (learning theory) , hilbert space , mathematical analysis , boundary value problem , telecommunications , transmission line , machine learning , computer science
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.