Global existence and energy decay of solutions to a viscoelastic Timoshenko beam system with a nonlinear delay term

DOI10.1080/00036811.2015.1105961zbMath1353.35195OpenAlexW2293501353WikidataQ58254195 ScholiaQ58254195MaRDI QIDQ2832360

Abdelkader Benaissa, Laid Djilali, Abbes Benaissa

Publication date: 11 November 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1105961

zbMATH Keywords

energy methodLyapunov functionalsdelay termdecay rateviscoelastic termFaedo-Galerkin procedure

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (4)

Existence and general decay of solution for nonlinear viscoelastic two-dimensional beam with a nonlinear delay ⋮ Unnamed Item ⋮ Global solvability and general decay of a transmission problem for Kirchhoff-type wave equations with nonlinear damping and delay term ⋮ Global existence and energy decay of solutions to a viscoelastic Bresse-type system with a nonlinear delay term

Cites Work

• Unnamed Item
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• Control and Stabilization for the Wave Equation in a Bounded Domain, Part II
• Control and Stabilization for the Wave Equation in a Bounded Domain

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