What question did this study set out to answer?

To establish a stability theorem for hyperbolic equations involving unbounded time delay in a Hilbert space.

March 14, 2026Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics1 citations

On the Stability of Hyperbolic Equations With Unbounded Time Delay Term

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AAA. Ashyralyev

Key Points

To establish a stability theorem for hyperbolic equations involving unbounded time delay in a Hilbert space.
Developed a stability theorem for the initial value problem of hyperbolic equations.
Introduced a second order of accuracy difference scheme for approximation.
Proved stability of the proposed difference scheme.
Demonstrated stability for hyperbolic equations with unbounded time delay.
Confirmed accuracy of the difference scheme in approximating solutions.

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.

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Cite This Study

A. Ashyralyev (Wed,) studied this question.

synapsesocial.com/papers/69b4ad7918185d8a39800bc1 https://doi.org/https://doi.org/10.7868/s3034504925040085

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