Decay rate of solutions to the Cauchy problem for a coupled system of viscoelastic wave equations with a strong delay in Rⁿ-Reference-Cited by-同舟云学术

Decay rate of solutions to the Cauchy problem for a coupled system of viscoelastic wave equations with a strong delay in Rⁿ

Published:2023-12-30 Issue:4 Volume:68 Page:895-905
ISSN:0252-1938
Container-title:Studia Universitatis Babes-Bolyai Matematica
language:
Short-container-title:Stud. Univ. Babes-Bolyai Math.

Author:

,Chaili Amina^ORCID,Belhadji Bochra^ORCID, ,Beniani Abderrahmane^ORCID,

Abstract

"Using weighted spaces, we establish a general decay rate properties of solutions as T → ∞ for a coupled system of viscoelastic wave equations in Rⁿ under some conditions on g1, g2, φ. We exploit a density function to introduce weighted spaces for solutions and using an appropriate Lyapunov function. Keywords: Lyapunov function, relaxation function, density, decay rate, weighted spaces."

Publisher

Babes-Bolyai University Cluj-Napoca

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