scientific article; zbMATH DE number 7572489

MaRDI QIDQ5096517

Zai-Yun Zhang, Zhen-Hai Liu, You-Jun Deng

Publication date: 17 August 2022

Full work available at URL: http://121.43.60.238/sxwlxbA/EN/abstract/abstract16545.shtml

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

global existenceperturbed energy methodgeneral decaytime-varying delaynonlinear viscoelastic equationvelocity-dependent material density

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• Feedback stabilization of a class of evolution equations with delay
• Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density
• Exponential stability of the wave equation with boundary time-varying delay
• Stabilization of the wave equation with boundary or internal distributed delay.
• Existence and asymptotic stability of a viscoelastic wave equation with a delay
• Asymptotic stability of the wave equation on compact manifolds and locally distributed damping: A sharp result
• Exponential decay for a viscoelastic problem with a singular kernel
• Stability of the heat and of the wave equations with boundary time-varying delays
• General decay of the solution energy in a viscoelastic equation with a nonlinear source
• General decay of solutions of a nonlinear system of viscoelastic equations
• Estimate on the dimension of global attractor for nonlinear dissipative Kirchhoff equation
• Global existence and uniform decay for wave equation with dissipative term and boundary damping
• Stability analysis of heat flow with boundary time-varying delay effect
• General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source
• Method of Lyapunov functionals construction in stability of delay evolution equations
• Energy decay rate for a coupled hyperbolic system with nonlinear damping
• Uniform decay of solutions for a quasilinear system of viscoelastic equations
• Global existence and asymptotic behavior for a coupled hyperbolic system with localized damping
• Asymptotic behavior of solutions of time-delayed Burgers' equation
• Boundary stabilization of a nonlinear viscoelastic equation with interior time-varying delay and nonlinear dissipative boundary feedback
• Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
• A note on decay properties for the solutions of a class of partial differential equation with memory
• Global existence and exponential decay of the solution for a viscoelastic wave equation with a delay
• Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay
• Exponential or polynomial decay of solutions to a viscoelastic equation with nonlinear localized damping
• Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks
• Exponential and polynomial decay for a quasilinear viscoelastic equation
• Existence and decay of solutions of a viscoelastic equation with a nonlinear source
• Uniform stabilization of the wave equation on compact manifolds and locally distributed damping -- a sharp result
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Global existence and general decay for a nonlinear viscoelastic equation with nonlinear localized damping and velocity-dependent material density
• Stabilization of Second Order Evolution Equations with Unbounded Feedback with Time-Dependent Delay
• Energy decay in a transmission problem in thermoelasticity of type III
• Stabilization of wave systems with input delay in the boundary control
• Stabilization of second order evolution equations with unbounded feedback with delay
• General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
• 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
• Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Global existence and uniform stabilization of a generalized dissipative Klein–Gordon equation type with boundary damping
• Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
• General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback
• Stability analysis of Euler‐Bernoulli beam with input delay in the boundary control
• General decay of energy for a viscoelastic equation with nonlinear damping
• Global existence and uniform decay for a nonlinear viscoelastic equation with damping
• General decay of energy for a viscoelastic equation with nonlinear damping
• The global attractor for a suspension bridge with memory and partially hinged boundary conditions

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