On the stability of the telegraph equation with time delay-Reference-Cited by-同舟云学术

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On the stability of the telegraph equation with time delay

Published:2020 Issue:4 Volume:34 Page:1251-1259
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ashyralyev Allaberen¹,Agirseven Deniz²,Turk Koray²

Affiliation:

1. aDepartment of Mathematics, Near East University, Nicosia, TRNC, Mersin, Turkey + Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan + Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation

2. Department of Mathematics Trakya University, Edirne, Turkey

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.

Publisher

National Library of Serbia

Subject

General Mathematics

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