On the stability of the third order partial differential equation with time delay

In this paper, the initial value problem for a third-order partial differential equation with time delay within a Hilbert space was analyzed. We establish a key theorem regarding the stability of this problem. Additionally, we demonstrate how this stability theorem can be applied to the third-order partial differential equation with time delay.

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Publication Details

Journal
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Published
2025-03-28
DOI
https://doi.org/10.31489/2025m1/24-33
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00

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article

On the stability of the third order partial differential equation with time delay

Allaberen Ashyralyev, Evren Hınçal, Surma H. Ibrahim
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
Differential Equations and Boundary Problems
article

On the stability of the third order partial differential equation with time delay

Allaberen Ashyralyev, Evren Hınçal, Surma H. Ibrahim
article en

Abstract

In this paper, the initial value problem for a third-order partial differential equation with time delay within a Hilbert space was analyzed. We establish a key theorem regarding the stability of this problem. Additionally, we demonstrate how this stability theorem can be applied to the third-order partial differential equation with time delay.

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSVol. 117(1)
Peoples' Friendship University of Russia (RU), Near East University (CY)
RUDN University
Openalex Percentile: Top 91%
Differential Equations and Boundary Problems
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