On the existence and decay of a viscoelastic system with variable-exponent nonlinearity
DOI10.3934/dcdss.2022183zbMath1518.35113OpenAlexW4312927667MaRDI QIDQ6134124
Mohammad M. Al-Gharabli, Adel M. Al-Mahdi, Salim Messoaudi
Publication date: 25 July 2023
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2022183
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- General decay of solutions of a nonlinear system of viscoelastic wave equations
- Well posedness and asymptotic behavior of a coupled system of nonlinear viscoelastic equations
- Systems of nonlinear wave equations with damping and source terms.
- Lebesgue and Sobolev spaces with variable exponents
- Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source
- Nonlinear damped wave equation: existence and blow-up
- Asymptotic stability of solutions to quasilinear hyperbolic equations with variable sources
- Decay for solutions of a nonlinear damped wave equation with variable-exponent nonlinearities
- Coupled second order evolution equations with fading memory: optimal energy decay rate
- Existence, uniqueness and blowup for hyperbolic equations with nonstandard growth conditions
- Wave equation with p(x,t)-Laplacian and damping term: existence and blow-up
- Optimal decay rates for the viscoelastic wave equation
- Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
- Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities
- On the General Decay for a System of Viscoelastic Wave Equations
- Evolution PDEs with Nonstandard Growth Conditions
- A blow-up result for a nonlinear wave equation with variable-exponent nonlinearities
- On the decay of solutions of a viscoelastic wave equation with variable sources
This page was built for publication: On the existence and decay of a viscoelastic system with variable-exponent nonlinearity
