General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term

DOI10.3934/eect.2017013zbMath1360.35110OpenAlexW2604891349MaRDI QIDQ523951

Danhua Wang, Biqing Zhu, Wenjun Liu, Gang Li

Publication date: 25 April 2017

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2017013

zbMATH Keywords

dynamic boundary conditionstime-varying delayBalakrishnan-Taylor dampingviscoelastic Kirchhoff equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05)

Related Items (21)

General decay and blow up of solutions for the Kirchhoff plate equation with dynamic boundary conditions, delay and source terms ⋮ Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan-Taylor damping ⋮ Blow-up of solution for a viscoelastic wave equation with delay ⋮ Stable weak solutions to weighted Kirchhoff equations of Lane-Emden type ⋮ General decay rate for a viscoelastic wave equation with distributed delay and Balakrishnan-Taylor damping ⋮ Global existence, exponential decay and finite time blow-up of solutions for a class of semilinear pseudo-parabolic equations with conical degeneration ⋮ Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions ⋮ General decay and blow-up for coupled Kirchhoff wave equations with dynamic boundary conditions ⋮ Blow-up and general decay of solutions for a Kirchhoff-type equation with distributed delay and variable-exponents ⋮ Uniform stability of a strong time-delayed viscoelastic system with Balakrishnan-Taylor damping ⋮ Existence and general decay of solution for nonlinear viscoelastic two-dimensional beam with a nonlinear delay ⋮ Stabilization for wave equation of variable coefficients with Balakrishnan-Taylor damping and source term ⋮ General decay for a system of viscoelastic wave equation with past history, distributed delay and Balakrishnan-Taylor damping terms ⋮ General decay result of solutions for viscoelastic wave equation with Balakrishnan-Taylor damping and a delay term ⋮ Energy decay rate for a von Karman system with a boundary nonlinear delay term ⋮ Decay of an extensible viscoelastic plate equation with a nonlinear time delay ⋮ Asymptotic stability of a viscoelastic problem with time-varying delay in boundary feedback ⋮ Asymptotic behavior for a past history viscoelastic problem with acoustic boundary conditions ⋮ Existence and energy decay of solution to a nonlinear viscoelastic two-dimensional beam with a delay ⋮ Existence and exponential decay of the Dirichlet problem for a nonlinear wave equation with the Balakrishnan-Taylor term ⋮ General decay rates for a laminated beam with memory

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