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Mostrando ítems 11-20 de 30
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
The asymptotic behaviour of fractional lattice systems with variable delay
(De Gruyter, 2019-06)
The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time ...
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 ...