Asymptotic stability of a viscoelastic problem with Balakrishnan-Taylor damping and time-varying delay

DOI10.1016/j.camwa.2017.06.033zbMath1394.35280OpenAlexW2736185759MaRDI QIDQ1659973

Mi Jin Lee, Jum-Ran Kang, Sun Hye Park

Publication date: 23 August 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.033

zbMATH Keywords

convex functiontime-varying delaygeneral decay rateBalakrishnan-Taylor damping

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Integro-partial differential equations (35R09)

Related Items (9)

General decay of energy for a viscoelastic wave equation with a distributed delay term in the nonlinear internal dambing ⋮ Stability of wave equation with locally viscoelastic damping and nonlinear boundary source ⋮ Initial boundary value problem for a viscoelastic wave equation with Balakrishnan-Taylor damping and a delay term: decay estimates and blow-up result ⋮ Uniform stability of a strong time-delayed viscoelastic system with Balakrishnan-Taylor damping ⋮ Stabilization for wave equation of variable coefficients with Balakrishnan-Taylor damping and source term ⋮ General decay rate for weak viscoelastic wave equation with Balakrishnan-Taylor damping and time-varying delay ⋮ Unnamed Item ⋮ General decay result of solutions for viscoelastic wave equation with Balakrishnan-Taylor damping and a delay term ⋮ Existence and energy decay of solution to a nonlinear viscoelastic two-dimensional beam with a delay

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