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Mostrando ítems 1-10 de 32
Artículo
On terminal value problems for bi-parabolic equations driven by Wiener process and fractional Brownian motions
(IOS Press, 2021-06-09)
In this paper, we study two terminal value problems (TVPs) for stochastic bi-parabolic equations perturbed by standard Brownian motion and fractional Brownian motion with Hurst parameter h ∈ ( 1/2 , 1) separately. For each ...
Artículo
Corrigendum to the paper: A way to model stochastic perturbations in population dynamics models with bounded realizations. Commun Nonlinear Sci Numer Simulat, 77 (2019), 239–257
(Elsevier [Commercial Publisher], 2021-05-01)
In this corrigendum we correct an error in our paper [T. Caraballo, R. Colucci, J. López-de-la-Cruz and A. Rapaport. A way to model stochastic perturbations in population dynamics models with bounded realizations, Commun ...
Artículo
Transportation inequalities for coupled systems of stochastic delay evolution equations with a fractional Brownian motion
(Taylor and Francis Online, 2021-02-17)
We prove an existence and uniqueness result of mild solution for a system of stochastic semilinear differential equations with fractional Brownian motions and Hurst parameter H < 1/2. Our approach is based on Perov’s fixed ...
Artículo
Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics
(AIMS Press, 2021-02-04)
This paper investigates a chemostat model with wall growth and Haldane consumption kinetics. In addition, bounded random fluctuations on the input flow, which are modeled by means of the well-known Ornstein-Uhlenbeck ...
Artículo
p-th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching
(Elsevier, 2021-11-01)
In this paper we focus on the p-th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching (NSPDEwMS). By means of the Lyapunov method, we develop some sufficient ...
Artículo
Continuity and topological structural stability for nonautonomous random attractors
(World scientific, 2021-09-29)
In this work, we study the continuity and topological structural stability of attractors for nonautonomous random differential equations obtained by small bounded random perturbations of autonomous semilinear problems. ...
Artículo
On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
(Springer, 2021-02-09)
The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the ...
Artículo
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations
(Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 2021-01-28)
In this article, the authors investigate the system of Schr odinger and Klein-Gordon equations with Yukawa coupling. They rst prove the existence of pullback attractor and construct a family of invariant Borel probability ...
Artículo
Stability analysis of stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay
(Springer, 2021-07-23)
The asymptotic behaviour of stochastic three-dimensional Lagrangian-averaged Navier-Stokes equations with infinite delay and nonlinear hereditary noise is analysed. First, using Galerkin’s approximations and the monotonicity ...
Artículo
Partial practical exponential stability of neutral stochastic functional di erential equa- tions with Markovian switching
(Springer, 2021-06-03)
In this paper, we investigate the partial practical exponential stability of neutral stochastic functional differential equations with Markovian switching. The main tool used to prove the results is the Lyapunov method. ...