General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping

DOI10.1515/math-2021-0108zbMath1484.35050OpenAlexW3207507053MaRDI QIDQ2669051

Djamel Ouchenane, Abdelbaki Choucha, Salah Mahmoud Boulaaras

Publication date: 9 March 2022

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2021-0108

zbMATH Keywords

energy methodexponential decayviscoelastic termdistributed delay term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (2)

On the global solutions of abstract wave equations with high energies ⋮ Blow-up and general decay of solutions for a Kirchhoff-type equation with distributed delay and variable-exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term
• Stabilization of the wave equation with boundary or internal distributed delay.
• General decay for a viscoelastic problem with not necessarily decreasing kernel
• Exponential stability of swelling porous elastic with a viscoelastic damping and distributed delay term
• Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms
• General decay result of solutions for viscoelastic wave equation with Balakrishnan-Taylor damping and a delay term
• On a system of nonlinear wave equations with Balakrishnan-Taylor damping
• Foundations of Linear Viscoelasticity
• General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms
• Existence and decay rates for a coupled Balakrishnan‐Taylor viscoelastic system with dynamic boundary conditions
• Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term
• General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping and logarithmic nonlinearity
• General decay for a class of viscoelastic problem with not necessarily decreasing kernel

This page was built for publication: General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping