Energy decay for a nonlinear viscoelastic rod equations with dynamic boundary conditions

DOI10.1002/mma.746zbMath1117.35010OpenAlexW2031273348MaRDI QIDQ3428917

Hongwei Zhang, Qingying Hu

Publication date: 30 March 2007

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

Full work available at URL: https://doi.org/10.1002/mma.746

zbMATH Keywords

exponential decaydynamic boundary conditions Nakao lemma

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear constitutive equations for materials with memory (74D10) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (5)

Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term ⋮ Existence and asymptotic behavior of the wave equation with dynamic boundary conditions ⋮ Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions ⋮ Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions ⋮ Decay rate for a class of viscoelasticity equation with nonlinear damping on the boundary

Cites Work

• Estimation techniques for distributed parameter systems

This page was built for publication: Energy decay for a nonlinear viscoelastic rod equations with dynamic boundary conditions