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Mostrando ítems 1-10 de 18
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
Synchronization of Systems with Multiplicative Noise
(2008)
The synchronization of Stratonovich stochastic di erential equations (SDE) with a one-sided dissipative Lipschitz drift and linear multiplicative noise is investigated by transforming the SDE to random ordinary di erential ...
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
Discretization of Asymptotically Stable Stationary Solutions of Delay Differential Equations with a Random Stationary Delay
(2006)
We prove the existence of a stationary random solution to a delay random ordinary differential system which attracts all other solutions in both pullback and forwards senses. The equation contains a one-sided dissipative ...
Artículo
Non-Autonomous Attractor for Integro-Differential Evolution Equations
(2009)
We show that infinite-dimensional integro-differential equations which involve an integral of the solution over the time interval since starting can be formulated as non-autonomous delay differential equations with an ...
Artículo
Flattening, squeezing and the existence of random attractors
(Royal Society, 2007-01)
The study of qualitative properties of random and stochastic differential equations is now one of the most active fields in the modern theory of dynamical systems. In the deterministic case, the properties of flattening ...
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
Invariant Measures and Statistical Solutions of the Globally Modified Navier-Stokes Equations
(2008)
We obtain regularity results for solutions of the three dimensional system of globally modified Navier-Stokes equations, and we investigate the relationship between global attractors, invariant measures, time-average ...
Artículo
Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation
(2004)
We consider the exponential stability of stochastic evolution equations with Lipschitz continuous non-linearities when zero is not a solution for these equations. We prove the existence of a non-trivial stationary solution ...