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Mostrando ítems 61-70 de 70
Artículo
Synchronization of a Stochastic Reaction-Diffusion System On a Thin Two-Layer Domain
(2007)
A system of semilinear parabolic stochastic partial differential equations with additive space-time noise is considered on the union of thin bounded tubular domains D1,ε := Γ × (0, ε) and D2,ε := Γ × (−ε, 0) joined at ...
Artículo
Stabilisation of linear PDEs by Stratonovich noise
(2004)
Some results concerning the stability and stabilisation of stochastic linear partial differential equations in the sense of Stratonovich are proved. The main result ensures that a deterministic linear PDE can be stabilised ...
Artículo
Levitan/Bohr Almost Periodic and Almost Automorphic Solutions of Second-Order Monotone Differential Equations
(2007)
The aim of this paper is to prove the existence of Levitan/Bohr almost periodic, almost automorphic, recurrent and Poisson stable solutions of the second order differential equation (1) x′′ = f( (t, y), x, x′), (y 2 Y ) ...
Artículo
Stochastic stabilization of differential systems with general decay rate
(2003)
Some sufficient conditions concerning stability of solutions of stochastic differential evolution equations with general decay rate are first proved. Then, these results are interpreted as suitable stabilization ones for ...
Artículo
Global Attractors for Multivalued Random Dynamical Systems
(2002)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour ...
Artículo
Stability of Nonlinear Functional Stochastic Evolution Equations of Second Order in Time
(2006)
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, the pathwise exponential ...
Artículo
Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. II
(2009)
In this paper we continue the research started in a previous paper, where we proved that the linear differential equation (1) x0 = A(t)x + f(t) with Levitan almost periodic coefficients has a unique Levitan almost periodic ...
Artículo
Stabilisation of differential inclusions and PDEs without uniqueness by noise
(2008)
We prove that the asymptotic behaviour of partial differential inclusions and partial differential equations without uniqueness of solutions can be stabilised by adding some suitable Itˆo noise as an external perturbation. ...
Artículo
An exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equation
(2001)
Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ¡1 are proved in this paper. First, a general result about Lp\H1 0 exponential growth is established. Then, under ...
Artículo
Pullback and Forward Attractors for a Damped Wave Equation with Delays
(2004)
The existence of a pullback (and also a uniform forward) attractor is proved for a damped wave equation containing a delay forcing term which, in particular, covers the models of Sine-Gordon type. The result follows from ...