Exponential stability of a system of coupled wave equations by second order terms with a past history

Autor: Zayd Hajjej, Menglan Liao
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 12, Pp 28450-28464 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231456?viewType=HTML
Popis: In this manuscript we consider a coupled, by second order terms, system of two wave equations with a past history acting on the first equation as a stabilizer. We show that the solution of this system decays exponentially by constructing an appropriate Lyapunov function.
Databáze: Directory of Open Access Journals