Existence of strong global attractors for hyperbolic equation with linear memory

DOI10.1016/j.amc.2003.08.080zbMath1068.45018OpenAlexW2056518170MaRDI QIDQ1888252

Qiaozhen Ma, Cheng-Kui Zhong

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.080

zbMATH Keywords

global attractornonlinear integro-differential equationhyperbolic equationlinear memory\(\omega\)-limit compact semigroupisotropic viscoelastic solid

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Groups and semigroups of linear operators (47D03)

Related Items (12)

Global attractors for Kirchhoff wave equation with nonlinear damping and memory ⋮ Strong global attractors for nonclassical diffusion equation with fading memory ⋮ Asymptotic behavior of the thermoelastic suspension bridge equation with linear memory ⋮ Long-time behavior of a suspension bridge equations with past history ⋮ Existence of strong solutions and global attractors for the suspension bridge equations ⋮ Convergence analysis and numerical simulation for a hyperbolic system ⋮ Attractors for a class of abstract evolution equations with fading memory ⋮ Long‐time behavior of a nonlinear viscoelastic beam equation with past history ⋮ Existence of global attractors for the coupled system of suspension bridge equations ⋮ Global attractor for hyperbolic equation with nonlinear damping and linear memory ⋮ Global attractor for suspension bridge equations with memory ⋮ Global attractor for an extensible beam equation with localized nonlinear damping and linear memory

Cites Work

• Influence of solitons in the initial state on chaos in the driven damped sine-Gordon system
• Attractors for damped nonlinear hyperbolic equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
• Global attractors for a semilinear hyperbolic equation in viscoelasticity
• Unnamed Item

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