General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions

DOI10.1186/S13661-016-0679-3zbMath1350.35129OpenAlexW2521575080WikidataQ59460427 ScholiaQ59460427MaRDI QIDQ330225

Daewook Kim, Mi Jin Lee, Jong Yeoul Park

Publication date: 25 October 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0679-3

zbMATH Keywords

boundary feedback

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (6)

Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions ⋮ Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions ⋮ General energy decay for a viscoelastic equation of Kirchhoff type with acoustic boundary conditions ⋮ Uniform stability of a strong time-delayed viscoelastic system with Balakrishnan-Taylor damping ⋮ Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions ⋮ General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions

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