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Artículo
A way to model stochastic perturbations in population dynamics models with bounded realizations
(Elsevier, 2019-10)
In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy perturbations. In order to discuss the main characteristics of this new approach we consider some ...
Artículo
Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent
(Elsevier, 2018-11-05)
In this paper we obtain a detailed description of the global and cocycle attractors for the skew-product semiflows induced by the mild solutions of a family of scalar linear-dissipative parabolic problems over a minimal and ...
Artículo
Mild Solutions to Time Fractional Stochastic 2D-Stokes Equations with Bounded and Unbounded Delay
(Springer, 2019-11-19)
In this paper, the well-posedness of stochastic time fractional 2D-Stokes equations of order α ∈ (0, 1) containig finite or infinite delay with multiplicative noise is established, respectively, in the spaces C([−h, 0]; ...
Artículo
Three-dimensional system of globally modified Navier-Stokes equations with delay
(2010)
We prove the existence and uniqueness of strong solutions of a three-dimensional system of globally modified Navier–Stokes equations with delay in the locally Lipschitz case. The asymptotic behavior of solutions, and the ...
Artículo
New trends on nonlinear dynamics and its applications
(American Institute of Mathematical Sciences, 2015-12)
This paper is the Preface of a special issue devoted to Nonlinear Dynamics and Complexity generated by the contributions of participants at the conference NDC 2015, La Manga, Spain (http://ndc.lhscientificpublishing.com) ...
Artículo
Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay
(Taylor & Francis, 2016)
In this paper, we prove the local and global existence and attractivity of mild solutions for stochastic impulsive neutral functional differential equations with infinite delay, driven by fractional Brownian motion.
Artículo
Random attractors for stochastic lattice systems with non-Lipschitz non-linearity
(2012)
In this paper we study the asymptotic behaviour of solutions of a first-order stochastic lattice dynamical system with an additive noise. We do not assume any Lipschitz condition on the nonlinear term, just a continuity ...
Artículo
Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
(American Institute of Mathematical Sciences, 2017-12)
We derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in ...
Artículo
Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory
(Springer, 2017-09)
The existence and limiting behavior of the solutions of stochastic parabolic problems with thermal memory are investigate in the cases that the nonlinear term satisfies subcritical and critical growth conditions. The ...
Artículo
Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2019-02)
In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential inclusion with an infinite-dimensional fractional Brownian motion. We consider the cases in which the ...