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Artículo
Attractors for Differential Equations with Multiple Variable Delays
(2009)
We establish some results on the existence of pullback attractors for non-autonomous delay di fferential equations with multiple delays. In particular, we generalise some recent works on the existence of pullback attractors ...
Artículo
The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations
(2007)
In this paper we analyse the almost sure exponential stability and ultimate boundedness of the solutions to a class of neutral stochastic semilinear partial delay differential equations. This kind of equations arises in ...
Artículo
Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I
(2009)
The well-known Favard's theorem states that the linear differential equation x′=A(t)x+f(t) Turn MathJax on with Bohr almost periodic coefficients admits at least one Bohr almost periodic solution if it has a bounded ...
Artículo
Nonlinear Partial Functional Differential Equations: Existence and Stability
(2001)
Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are established. Sufficient conditions which guarantee the transference of exponential stability from partial ...
Artículo
The exponential behaviour of nonlinear stochastic functional equations of second order in time
(2003)
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations of second order in time are established. As a consequence of these results, some ones on the ...
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
The persistence of synchronization under environmental noise
(2005)
It is shown that the synchronization of dissipative systems persists when they are disturbed by additive noise no matter how large the intensity of the noise provided asymptotically stable stationary stochastic solutions ...
Artículo
Asymptotic exponential stability for diffusion processes driven by stochastic differential equations in duals of nuclear spaces
(2001)
The main objective of this paper is to investigate the asymptotic stability for diffusion processes driven by a class of Itˆo stochastic differential equations in duals of nuclear spaces. A coercivity condition imposed on ...
Artículo
Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
(2003)
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence ...
Artículo
On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier-Stokes equations
(2006)
We prove existence and uniqueness of solutions for a stochastic version of the 3DLagrangian averaged Navier-Stokes (LANS-®) equation in a bounded domain. To this end, we previously prove some existence and uniqueness ...