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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
On Differential Equations with Delay in Banach Spaces and Attractors for Retarded Lattice Dynamical Systems
(2014)
In this paper we first prove a rather general theorem about existence of solutions for an abstract differential equation in a Banach space by assuming that the nonlinear term is in some sense weakly continuous. We then ...
Artículo
Nontrivial equilibrium solutions and general 2 stability for stochastic evolution equations with pantograph delay and tempered fractional noise∗
(SIAM, 2022-10-07)
In this paper, we study the full compressible Navier--Stokes system in a bounded domain Ω⊂R3 , where the viscosity and heat conductivity depend on temperature in a power law (θb for some constant b>0 ) of Chapman--Enskog. ...
Artículo
Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems
(De Gruyter, 2019-09)
In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is ...
Artículo
Chemostats with random inputs and wall growth
(John Wiley & Sons, 2015-03-12)
Chemostat refers to a laboratory device used for growing microorganisms in a cultured environment, and has been regarded as an idealization of nature to study competition modeling of mathematical biology. The simple form ...
Artículo
Autonomous and non-autonomous attractors for differential equations with delays
(2005)
The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is analyzed. In fact, the existence of global attractors is established for different situations: with ...
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
Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay
(International Press, 2017)
We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of global solution is obtained by classical Galerkin approximation and the energy method. Actually, we also ...
Artículo
Stability and random attractors for a reaction-diffusion equation with multiplicative noise
(2000)
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white noise (in the sense of Itˆo) stabilizes the stationary solution x 0. We show in addition that this ...
Artículo
Effects of additive and multiplicative noise on the dynamics of a parabolic equation
(Natural Sciences Publishing Corporation, 2015)
We consider the effects of additive and multiplicative noise on the asymptotic behavior of a fourth order parabolic equation arising in the study of phase transitions. On account that the deterministic model presents three ...