PULLBACK ATTRACTORS FOR A NONAUTONOMOUS INTEGRO-DIFFERENTIAL EQUATION WITH MEMORY IN SOME UNBOUNDED DOMAINS

DOI10.1142/S0218127413500429zbMath1270.34178WikidataQ58377523 ScholiaQ58377523MaRDI QIDQ2845166

José Real, Valero, José, María Anguiano, Tomás Caraballo Garrido

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorpullback attractorsdelayed reaction-diffusion equationsintegro-differential equations with memorymultivalued nonautonomous dynamical systems

Mathematics Subject Classification ID

Attractors (35B41) Asymptotic theory of functional-differential equations (34K25) Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30)

Related Items (2)

Stability analysis of stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay ⋮ Non-autonomous nonlocal partial differential equations with delay and memory

Cites Work

• On the Kneser property for reaction-diffusion equations in some unbounded domains with an \(H^{ - 1}\)-valued non-autonomous forcing term
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• Non-autonomous attractors for integro-differential evolution equations
• On the relation between two different concepts of pullback attractors for non-autonomous dynamical systems
• On attractors of multivalued semi-flows and differential inclusions
• Random attractors
• Asymptotic behavior of a class of reaction--diffusion equations with delays
• Pullback attractors for reaction-diffusion equations in some unbounded domains with an \(H^{-1}\)-valued non-autonomous forcing term and without uniqueness of solutions
• Pullback attractors for 2D-Navier-Stokes equations with delays in continuous and sub-linear operators
• On trajectory and global attractors for semilinear heat equations with fading memory
• Lyapunov functionals for reaction-diffusion equations with memory

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