Global existence, asymptotic behavior, and uniform attractor for a nonautonomous equation

DOI10.1002/mma.2774zbMath1288.35104OpenAlexW2101869966MaRDI QIDQ2868883

Jia Ren, Yu-ming Qin

Publication date: 19 December 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2774

zbMATH Keywords

time delayenergy methodasymptotic stabilityLyapunov functionalshomogeneous Dirichlet boundary conditionrelaxation functions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (35R09)

Related Items (5)

Existence and general decay of a transmission problem for the plate equation with a memory condition on the boundary ⋮ Synchronization of stochastic coupled systems via feedback control based on discrete-time state observations ⋮ Global existence, asymptotic behavior and uniform attractors for a non-autonomous Timoshenko system of thermoelasticity of type III with a time-varying delay ⋮ Stability and dynamics of a weak viscoelastic system with memory and nonlinear time-varying delay ⋮ Asymptotic stability for a non-autonomous full von Kármán beam with thermo-viscoelastic damping

Cites Work

• Unnamed Item
• Unnamed Item
• Stabilization of the wave equation with boundary or internal distributed delay.
• Existence and asymptotic stability of a viscoelastic wave equation with a delay
• Stability of the heat and of the wave equations with boundary time-varying delays
• Nonlinear parabolic-hyperbolic coupled systems and their attractors
• General decay of the solution energy in a viscoelastic equation with a nonlinear source
• Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type
• Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
• Exponential and polynomial decay for a quasilinear viscoelastic equation
• Global attractor for a nonlinear thermoviscoelastic model with a non-convex free energy density
• Global existence, asymptotic stability, and uniform attractors for non-autonomous thermoelastic systems with constant time delay
• Wave Equation with Acoustic/Memory Boundary Conditions
• Asymptotic behaviour of the energy for electromagnetic systems with memory
• Exponential stability in linear thermoelasticity: the inhomogeneous case
• Stabilization of wave systems with input delay in the boundary control
• Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
• Use of time-delay actions in the controller design
• Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain

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