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Artículo
Exponential stability of an incompressible non-Newtonian fluid with delay
(American Institute of Mathematical Sciences, 2018-12)
The existence and uniqueness of stationary solutions to an incompressible non-Newtonian fluid are first established. The exponential stability of steady-state solutions is then analyzed by means of four different approaches. ...
Artículo
Recent developments in dynamical systems: three perspectives
(2010)
This paper aims to an present account of some problems considered in the past years in Dynamical Systems, new research directions and also provide some open problems.
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
Pullback attractor for a non-linear evolution equation in elasticity
(2014)
We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld of phase transitions and elasticity theory. The existence of several families of bounded absorbing ...
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
Analysis of a stochastic 2D–Navier-Stokes model with infinite delay
(Springer, 2019-12)
Some results concerning a stochastic 2D Navier-Stokes system when the external forces contain hereditary characteristics are established. The existence and uniqueness of solutions in the case of unbounded (infinite) delay ...
Artículo
Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution
(American Institute of Mathematical Sciences, 2017-07)
In this paper, the existence of solution for a p-Laplacian parabolic equation with nonlocal diffusion is established. To do this, we make use of a change of variable which transforms the original problem into a nonlocal ...
Artículo
Stability results for 2D Navier-Stokes equations with unbounded delay
(Elsevier, 2018-12-05)
Some results related to 2D Navier-Stokes equations when the external force contains hereditary characteristics involving unbounded delays are analyzed. First, the existence and uniqueness of solutions is proved by Galerkin ...
Tesis Doctoral
Dynamical systems applied to consciousness and brain rhythms in a neural network
(2020-04-21)
This thesis applies the great advances of modern dynamical systems theory (DST) to consciousness. Consciousness, or subjective experience, is faced here in two different ways: from the global dynamics of the human brain ...
Artículo
Almost periodic and almost automorphic solutions of linear differential equations
(2010)
We analyze the existence of almost periodic (respectively, almost automorphic, recurrent) solutions of a linear non-homogeneous di erential (or di erence) equation in a Banach space, with almost periodic (respectively, ...