Decay Properties for Transmission System with Infinite Memory and Distributed Delay-Reference-Cited by-同舟云学术

Decay Properties for Transmission System with Infinite Memory and Distributed Delay

Published:2024-01-31 Issue:2 Volume:8 Page:94
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Saber Hicham¹,Braik Abdelkader²,Bahri Noureddine²,Beniani Abderrahmane³,Alraqad Tariq¹,Jawarneh Yousef¹,Zennir Khaled⁴⁵^ORCID

Affiliation:

1. Department of Mathematics, College of Sciences, University of Ha’il, Ha’il 55473, Saudi Arabia

2. Faculty of Science and Technology, Hasiba Benbouali University, Chlef 02000, Algeria

3. Engineering and Sustainable Development Laboratory, Faculty of Science and Technology, University of Ain Temouchent, Ain Temouchent 46000, Algeria

4. Department of Mathematics, College of Sciences and Arts in Ar-Rass, Qassim University, Buraydah 51452, Saudi Arabia

5. Department of Mathematics, Faculty of Sciences, University of 20 Août 1955, Skikda 21000, Algeria

Abstract

We consider a damped transmission problem in a bounded domain where the damping is effective in a neighborhood of a suitable subset of the boundary. Using the semigroup approach together with Hille–Yosida theorem, we prove the existence and uniqueness of global solution. Under suitable assumption on the geometrical conditions on the damping, we establish the exponential stability of the solution by introducing a suitable Lyapunov functional.

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/2/94/pdf

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