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

"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 fun...

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Veröffentlicht in:Studia Universitatis Babeș-Bolyai. Mathematica 2023-01, Vol.68 (4), p.895-905
Hauptverfasser: Chaili, Amina, Belhadji, Bochra, Beniani, Abderrahmane
Format: Artikel
Sprache:eng
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Zusammenfassung:"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."
ISSN:0252-1938
2065-961X
DOI:10.24193/subbmath.2023.4.16