Uniform attractors for nonclassical diffusion equations with memory

DOI10.1155/2016/5340489zbMath1343.35038OpenAlexW2424910335WikidataQ59127045 ScholiaQ59127045MaRDI QIDQ301503

Ye Zeng, Ya-Nan Li, Yong Qin Xie

Publication date: 30 June 2016

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/5340489

zbMATH Keywords

asymptotic contractive methodequation with fading memorytime-dependent forcing termuniform asymptotic compactness

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)

Related Items (22)

Uniform attractors for nonclassical diffusion equations with perturbed parameter and memory ⋮ Uniform attractors of nonclassical diffusion equations lacking instantaneous damping on \(\mathbb{R}^N\) with memory ⋮ Weighted pseudo almost periodicity on neutral type CNNs involving multi-proportional delays and D operator ⋮ Anti-periodic dynamics on high-order inertial Hopfield neural networks involving time-varying delays ⋮ Strong global attractors for nonclassical diffusion equation with fading memory ⋮ Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth ⋮ Asymptotic behavior for the semilinear reaction-diffusion equations with memory ⋮ Exponential attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity ⋮ New results on global exponential stability for a periodic Nicholson's blowflies model involving time-varying delays ⋮ Nonnegative periodicity on high-order proportional delayed cellular neural networks involving \(D\) operator ⋮ Attractors for a class of perturbed nonclassical diffusion equations with memory ⋮ Asymptotic behavior for a class of viscoelastic equations with memory lacking instantaneous damping ⋮ Upper semicontinuity of optimal attractors for viscoelastic equations lacking strong damping ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Global asymptotic stability for a nonlinear density-dependent mortality Nicholson's blowflies system involving multiple pairs of time-varying delays ⋮ Novel stability criteria on nonlinear density-dependent mortality Nicholson's blowflies systems in asymptotically almost periodic environments ⋮ Asymptotically almost periodic dynamics on delayed Nicholson-type system involving patch structure ⋮ Anti-periodicity on high-order inertial Hopfield neural networks involving mixed delays ⋮ Convergence analysis on inertial proportional delayed neural networks ⋮ Strong pullback attractors for a nonclassical diffusion equation ⋮ Asymptotic behavior of quasi-linear evolution equations on time-dependent product spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A remark on nonclassical diffusion equations with memory
• Attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity
• Pullback attractors for nonclassical diffusion equations in noncylindrical domains
• Attractors for the non-autonomous nonclassical diffusion equations with fading memory
• On the dynamics of a class of nonclassical parabolic equations
• Attractors for the nonclassical diffusion equations with fading memory
• On the problem of diffusion in solids
• Trajectory and global attractors of the three-dimensional Navier-Stokes system.
• Attractors for a nonclassical diffusion equation
• Global attractors in \(H^1(\mathbb R^N)\) for nonclassical diffusion equations
• Nonclassical diffusion equations on \(\mathbb{R}^N\) with singularly oscillating external forces
• Global attractors for von Kármán equations with nonlinear interior dissipation
• On a theory of heat conduction involving two temperature
• Asymptotic stability in viscoelasticity
• Pseudoparabolic equations in one space variable
• Global attractors for a nonclassical diffusion equation
• Asymptotic behavior for a semilinear second order evolution equation
• Asymptotic regularity for the nonclassical diffusion equation with lower regular forcing term
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Quasilinear Evolution Equations in Nonclassical Diffusion
• A damped hyerbolic equation with critical exponent
• Sobolev equations for nonlinear dispersive systems^†
• Uniform Attractors for Nonautonomous Wave Equations with Nonlinear Damping

This page was built for publication: Uniform attractors for nonclassical diffusion equations with memory