Global existence and decay for a system of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms

DOI10.1155/2020/5085101zbMath1450.35168OpenAlexW3084041611MaRDI QIDQ2204701

Rafik Guefaifia, Nadia Mezouar, Ahmad Mohammed Alghamdi, Salah Mahmoud Boulaaras

Publication date: 16 October 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5085101

zbMATH Keywords

Lyapunov functionalone space dimensionnonlocal boundary conditiongeneral deca

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear constitutive equations for materials with memory (74D10) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (4)

General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms ⋮ Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term ⋮ Polynomial decay rate for a coupled Lamé system with viscoelastic damping and distributed delay terms ⋮ On a couple of nonlocal singular viscoelastic equations with damping and general source terms: blow-up of solutions

Cites Work

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• Stepwise Stability for the Heat Equation with a Nonlocal Constraint
• Global existence and decay of solutions of a singular nonlocal viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized damping term
• The \(L_2\) solvability of a nonlocal problem with integral conditions for a hyperbolic equation

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