ON THE STABILITY OF HYPERBOLIC EQUATIONS WITH UNBOUNDED TIME DELAY TERM

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Abstract

In this paper, we establish a stability theorem for the initial value problem of hyperbolic equations with an unbounded time delay term in a Hilbert space.We also present a second order of accuracy difference scheme for approximating the solution to this problem and prove a corresponding stability theorem for the proposed difference scheme.

About the authors

A. Ashyralyev

Bahcesehir University; Peoples’ Friendship University of Russia named after Patrice Lumumba; Institute of Mathematics and Mathematical Modeling

Email: aallaberen@gmail.com
Department of Mathematics Istanbul, Turkey; Moscow, Russia; Almaty, Kazakhstan

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