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Artículo
ON INITIAL AND TERMINAL VALUE PROBLEMS FOR FRACTIONAL NONCLASSICAL DIFFUSION EQUATIONS
(American Mathematical Society, 2020-06-11)
In this paper, we consider fractional nonclassical diffusion equations under two forms: initial value problem and terminal value problem. For an initial value problem, we study local existence, uniqueness, and continuous ...
Artículo
Stability results for neutral stochastic functional differential equations via fixed point methods
(Taylor and Francis, 2020)
In this paper we prove some results on the mean square asymptotic stability of a class of neutral stochastic differential systems with variable delays by using a contraction mapping principle. Namely, a necessary and ...
Artículo
Nonlocal and nonlinear evolution equations in perforated domains
(Academic Press Inc Elsevier Science, 2020-12-02)
In this work we analyze the behavior of the solutions to nonlocal evolution equations of the form ut(x; t) = R J(x�����y)u(y; t) dy �����h"(x)u(x; t)+f(x; u(x; t)) with x in a perturbed domain " which is thought ...
Artículo
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations
(Elsevier, 2020-01)
The main aim of this letter is to use the strong compact strong trajectory attractor to construct the strong trajectory statistical solutions for two-dimensional dissipative Euler equations. Further, it is established that ...
Artículo
On some geometric inverse problems for nonscalar elliptic systems
(Elsevier, 2020-07-02)
In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove uniqueness and stability results. In particular, we show the way that the observation depends on the perturbations of the ...
Artículo
Attractors for semilinear wave equations with localizad damping and external forces
(Cornell University, 2020-01-08)
This paper is concerned with long-time dynamics of semilinear wave equations defined on bounded domains of R3 with cubic nonlinear terms and locally distributed damping. The existence of regular finite-dimensional global ...
Artículo
On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation
(AIMS, 2020-06-30)
In this paper, we study two stochastic problems for time-fractional RayleighStokes equation including the initial value problem and the terminal value problem. Here, two problems are perturbed by Wiener process, the ...
Artículo
Stability with respect to a part of the variables of stochastic di erential equations driven by G-Brownian motion
(Springer, 2020-11-01)
In this paper, we investigate the pth moment exponential stability of stochastic dif- ferential equations driven by G-Brownian motion (G-SDEs) with respect to a part of the variables by means of the G-Lyapunov functions ...
Artículo
Existence of periodic positive solutions to a nonlinear Lotka-Votlerra competition systems
(AGH University of Science and Technology Press, 2020)
We investigate the existence of positive periodic solutions of a nonlinear Lotka-Volterra competition system with deviating arguments. The main tool we use to obtain our result is the Krasnoselskii fixed point theorem. In ...
Artículo
Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height
(ScienceDirect, 2020-02-03)
In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a variable height cavity, in which the buoyancy forces are involved. We take into account in this problem ...