On the dynamics of equations with infinite delay

DOI10.2478/s11533-006-0024-7zbMath1107.37062OpenAlexW2133549271MaRDI QIDQ861579

Dalibor Pražák

Publication date: 29 January 2007

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-006-0024-7

zbMATH Keywords

fractal dimensionexponential attractorordinary differential equations with infinite delay

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Asymptotic theory of functional-differential equations (34K25)

Related Items (5)

Pullback exponential attractors for non-autonomous recurrent neural networks with discrete and distributed time-varying delays ⋮ Exponential attractors for the strongly damped wave equation ⋮ Exponential attractors for abstract parabolic systems with bounded delay ⋮ Pullback exponential attractors for differential equations with variable delays ⋮ Pullback exponential attractors for differential equations with delay

Cites Work

• Trajectory and global attractors for evolution equations with memory
• Infinite-dimensional dynamical systems in mechanics and physics.
• A necessary and sufficient condition for the existence of an exponential attractor
• Regularity, determining modes and Galerkin methods.
• Some new generalizations of inertial manifolds
• Attractors for second-order evolution equations with a nonlinear damping
• On the dimension of the attractor for the wave equation with nonlinear damping
• A finite-dimensional attractor for three-dimensional flow of incompressible fluids
• Asymptotic stability in viscoelasticity
• Memory relaxation of first order evolution equations
• On trajectory and global attractors for semilinear heat equations with fading memory
• A construction of a robust family of exponential attractors
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