Boundary stabilization of a nonlinear viscoelastic equation with interior time-varying delay and nonlinear dissipative boundary feedback

DOI10.1155/2014/102594zbMath1470.93131OpenAlexW2008998871WikidataQ59035202 ScholiaQ59035202MaRDI QIDQ1722091

Jian Hua Huang, Zai-Yun Zhang, Ming-Bao Sun, Zhen-Hai Liu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/102594

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear constitutive equations for materials with memory (74D10)

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Cites Work

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• Feedback stabilization of a class of evolution equations with delay
• Feedback boundary stabilization of wave equations with interior delay
• 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
• 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
• 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
• 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
• Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result
• 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
• 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

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