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Mostrando ítems 241-250 de 341
Artículo
Tracking Properties of Trajectories On Random Attracting Sets
(1999)
The theory of random attracting sets highlights interesting properties of the asymptotic behaviour of some stochastic differential equations. In this paper some results on the relation between the dynamics on random ...
Artículo
Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation
(2004)
We consider the exponential stability of stochastic evolution equations with Lipschitz continuous non-linearities when zero is not a solution for these equations. We prove the existence of a non-trivial stationary solution ...
Artículo
Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions
(Springer, 2021-01-02)
In this paper, we investigate stochastic evolution equations with unbounded delay in fractional power spaces perturbed by a tempered fractional Brownian motion Bσ,λQ(t) with −1/2<σ<0 and λ>0. We first introduce a technical ...
Artículo
Recent results on stabilization of PDEs by noise
(Sociedad Española de Matemática Aplicada, 2006-12)
This paper is intended to be a brief review on some recent results on the stabilization effect produced by noise in phenomena modelled by partial differential equations. We emphasyse the different effects that distinct ...
Artículo
Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations
(World scientific, 2021-09)
This paper investigates the dynamics of a model of two chemostats connected by Fickian diffusion with bounded random fluctuations. We prove the existence and uniqueness of non-negative global solution as well as the existence ...
Artículo
A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions
(2015)
In this survey paper we review several aspects related to Navier-Stokes models when some hereditary characteristics (constant, distributed or variable delay, memory, etc) appear in the formulation. First some results ...
Artículo
Existence and regularity results for terminal value problem for nonlinear fractional wave equations
(IOP Science, 2019-11-15)
We consider the terminal value problem (or called nal value problem, initial inverse prob- lem, backward in time problem) of determining the initial value, in a general class of time-fractional wave equations with Caputo ...
Artículo
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays
(Elsevier, 2023-10-03)
In this paper, we establish theoretical results on the stability of random regular attractors. First, we introduce a backward regular attractor, which is a new type of attractor defined by a minimal backward pullback ...
Artículo
Partial Differential Equations with Delayed Random Perturbations: Existence, Uniqueness and Stability of Solutions
(1993)
We consider a stochastic non–linear Partial Differential Equation with delay which may be regarded as a perturbed equation. First, we prove the existence and the uniqueness of solutions. Next, we obtain some stability ...
Artículo
Chemostats with time-dependent inputs and wall growth
(Natural Sciences Publishing Corporation, 2015)
Traditional assumptions in the simple chemostat model include fixed availability of the nutrient and its supply rate, and fast flow rate to avoid wall growth. However, these assumptions become unrealistic when the availability ...