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Tesis Doctoral
Ponencia
Pullback attractors to analyze the effect of random and stochastic disturbances in the chemostat model
(2018)
In this talk, some random and stochastic disturbances in the chemostat model will be analyzed by making use of the modern techniques concerning the theory of random dynamical systems. Particularly, the existence and ...
Artículo
Dynamics of some stochastic chemostat models with multiplicative noise
(American Institute of Mathematical Sciences, 2017-08)
In this paper we study two stochastic chemostat models, with and without wall growth, driven by a white noise. Specifically, we analyze the existence and uniqueness of solutions for these models, as well as the existence ...
Artículo
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
Existence of exponentially attracting stationary solutions for delay evolution equations
(2007)
We consider the exponential stability of semilinear stochastic evolution equations with delays when zero is not a solution for these equations. We prove the existence of a non-trivial stationary solution exponentially ...
Artículo
Existence and uniqueness of solutions for delay stochastic evolution equations
(2002)
Some results on the existence and uniqueness of solutions for stochastic evolution equations containing some hereditary characteristics are proved. In fact, our theory is developed from a variational point of view and ...
Capítulo de Libro
Some aspects concerning the dynamics of stochastic chemostats
(Springer, 2016)
In this paper we study a simple chemostat model influenced by white noise which makes this kind of models more realistic. We use the theory of random attractors and, to that end, we first perform a change of variable using ...
Artículo
The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional brownian motion
(2011)
In this paper we investigate the existence, uniqueness and exponential asymptotic behavior of mild solutions to stochastic delay evolution equations perturbed by a fractional Brownian motion BH Q (t): dX(t) = (AX(t) + ...
Artículo
Non-autonomous and random attractors for delay random semilinear equations without uniqueness
(2008)
We first prove the existence and uniqueness of pullback and random attractors for abstract multi-valued non-autonomous and random dynamical systems. The standard assumption of compactness of these systems can be replaced ...
Tesis Doctoral