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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
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
Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems
(American Institute of Mathematical Sciences (AIMS), 2020-08)
In this paper, we first prove that the property of being a gradientlike general dynamical system and the existence of a Morse decomposition are equivalent. Next, the stability of gradient-like general dynamical systems ...
Artículo
Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process
(American Institute of Mathematical Sciences (AIMS), 2020-02)
The existence and uniqueness of mild solution of an impulsive stochastic system driven by a Rosenblatt process is analyzed in this work by using the Banach fixed point theorem and the theory of resolvent operator developed ...
Artículo
Dynamics of a continuous Hénon model
(Wiley, 2018)
We study a continuous Hénon system obtained by considering the discrete original model in continuous time. While the dynamics of the continuous model is trivial, we are able to recover the complexity of the discrete model ...
Artículo
Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term
(Springer, 2020)
In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term of Heaviside type. Using this principle, we study the structure of the global attractor in both the ...
Artículo
STABILITY ANALYSIS OF A DELAY DIFFERENTIAL KALDOR’S MODEL WITH GOVERNMENT POLICIES
(Mathematica Scandinavica [Independent Journal], 2020-03-29)
This paper is devoted to analyze the stability of the economy according to an extended version of Kaldor's economic growth model. We consider the role of the government and its simultaneous monetary and scal policies and ...