Exponential energy decay of solutions for an integro-differential equation with strong damping

DOI10.1016/J.JMAA.2009.11.046zbMath1205.45012OpenAlexW2005427652WikidataQ115346199 ScholiaQ115346199MaRDI QIDQ847737

Shun-Tang Wu

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.11.046

zbMATH Keywords

asymptotic behaviorintegro-differential equationdecay ratestrong damping

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05)

Related Items (13)

Energy decay rates for the semilinear wave equation with memory boundary condition and acoustic boundary conditions ⋮ General decay and blowup of solutions for a degenerate viscoelastic equation of Kirchhoff type with source term ⋮ Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms ⋮ Global nonexistence of solutions for viscoelastic wave equations of Kirchhoff type with high energy ⋮ On decay and blow-up of solutions for a system of nonlinear wave equations ⋮ General decay and blow-up of solutions for a system of viscoelastic equations of Kirchhoff type with strong damping ⋮ General stability of solutions for a viscoelastic wave equations of Kirchhoff type with acoustic boundary conditions ⋮ Global well-posedness for a class of Kirchhoff-type wave system ⋮ Asymptotic behavior for a viscoelastic Kirchhoff-type equation with delay and source terms ⋮ Dynamics of solutions to a semilinear plate equation with memory ⋮ Unnamed Item ⋮ Exponential energy decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with strong damping ⋮ DYNAMIC PROPERTIES FOR NONLINEAR VISCOELASTIC KIRCHHOFF-TYPE EQUATION WITH ACOUSTIC CONTROL BOUNDARY CONDITIONS Ⅱ

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