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Artículo
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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
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On the decay rate of solutions of non-autonomous differential systems
(2001)
Some results on the asymptotic behaviour of solutions of diff erential equations concerning general decay rate are proved. We prove general criteria on the exponential, polynomial, and more general decay properties of ...
Artículo
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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 ...
Ponencia
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Approximation of attractors for multivalued random dynamical systems
(Masaryk University, 2001)
The concept of global attractor for stochastic partial differential inclusions has been recently introduced as a joint generalization of the theory of random attractors for random dynamical systems and global attractors ...
Artículo
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Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise
(2001)
In this paper we consider a stochastic differential inclusion with multiplicative noise. It is shown that it generates a multivalued random dynamical system for which there also exists a global random attractor.
Artículo
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The effect of noise on the chafee-infante equation: a nonlinear case study
(2006)
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut−Δu = βu−u3, by noise. While a single multiplicative Itˆo noise of sufficient intensity will stabilise the origin, its ...
Artículo
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Asymptotic Behaviour of 2D-Navier-Stokes Equations with Delays
(2003)
Some results on the asymptotic behaviour of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved. We show two different approaches to prove the convergence of ...
Artículo
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Asymptotic stability of nonlinear stochastic evolution equations
(2003)
Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. Special attention is paid in proving sufficient conditions ensuring almost sure asymptotic stability ...
Artículo
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Method of Lyapunov Functionals Construction in Stability of Delay Evolution Equations
(2007)
Stability investigation of hereditary systems often is connected with the construction of Lyapunov functionals. The general method of Lyapunov functionals construction, that was proposed by V.Kolmanovskii and L.Shaikhet ...
Artículo
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The dimension of attractors of nonautonomous partial differential equations
(2003)
The concept of nonautonomous (or cocycle) attractor has become a proper tool for the study of the asymptotic behaviour of general nonautonomous partial differential equations. This is a time-dependent family of compact ...