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Artículo
Negatively Invariant Sets and Entire Trajectories of Set-Valued Dynamical Systems
(Springer Verlag (Germany), 2011)
Strongly negatively invariant compact sets of set-valued autonomous and nonautonomous dynamical systems on a complete metric space, the latter formulated in terms of processes, are shown to contain a weakly positively ...
Artículo
Global and Pullback Attractors of Set-Valued Skew Product Flows
(2006)
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle mapping (coming from a nonautonomous differential equation or inclusion) driven by another, ...
Artículo
Numerical and finite delay approximations of attractors for logistic differential-integral equations with infinite delay
(2007)
The upper semi-continuous convergence of approximate attractors for an infinite delay differential equation of logistic type is proved, first for the associated truncated delay equation with finite delay and then for a ...
Artículo
Negatively Invariant Sets and Entire Solutions
(Springer Verlag (Germany), 2011)
Negatively invariant compact sets of autonomous and nonautonomous dynamical systems on a metric space, the latter formulated in terms of processes, are shown to contain a strictly invariant set and hence entire solutions. ...
Artículo
The Envelope Attractor of Non-Strict Multivalued Dynamical Systems with Application To The 3D Navier-Stokes and Reaction-Diffusion Equations
(Springer Verlag (Germany), 2013)
Multivalued semiflows generated by evolution equations without uniqueness sometimes satisfy a semigroup set inclusion rather than equality because, for example, the concatentation of solutions satisfying an energy inequality ...
Artículo
Pullback Attractors for a Semilinear Heat Equation In a Non-Cylindrical Domain
(Elsevier, 2008)
The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption ...
Artículo
Equivalence of Invariant Measures and Stationary Statistical Solutions for The Autonomous Globally Modified Navier-Stokes Equations
(American Institute of Mathematical Sciences (AIMS), 2009)
A new proof of existence of solutions for the three dimensional system of globally modified Navier-Stokes equations introduced in [3] by Caraballo, Kloeden and Real is obtained using a smoother Galerkin scheme. This is ...
Artículo
Equi-Attraction and The Continuous Dependence of Attractors on Time Delays
(American Institute of Mathematical Sciences, 2008)
Under appropriate regularity conditions it is shown that the continuous dependence of the global attractors \mathcal{A}_\tau of semi dynamical systems S^{(\tau)}(t) in C([-\tau,0];Z) with Z a Banach space and time delay ...
Artículo
Weak pullback attractors of setvalued processes
(2003)
Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and ...
Artículo
Weak Pullback Attractors of Non-Autonomous Difference Inclusions
(Taylor & Francis, 2003)
Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and ...