Work

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

Year: 2025

Type: article

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.

Source: BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

DOI: 10.31489/2025m1/24-33

Authors: A. Ashyralyev, S. Ibrahim, E. Hincal

Institutions: Peoples' Friendship University of Russia, Bahçeşehir University, Institute of Mathematics and Mathematical Modeling, Near East University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: RUDN University

Award: G5164759474