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

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2025

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DOI 10.31489/2025m1/24-33
Data confidence 70 medium
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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.