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Artículo
Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation
(Elsevier, 2019-06-01)
Focusing on epidemic model in random environments, this paper uses white noise and Lévy noise to model the dynamics of the SIS epidemic model subject to the random changes of the external environment. We show that the jump ...
Artículo
On the controllability of some equations of Sobolev-Galpern type
(Elsevier, 2019-09-19)
In this paper we deal with the controllability problem for some Sobolev type equations. We show that the equations cannot be driven to zero if the control region is strictly supported within the domain. Nevertheless, we ...
Artículo
Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay
(Elsevier, 2019-09-01)
We randomize the following class of linear differential equations with delay, x 0 τ (t) = axτ(t) + bxτ(t − τ), t > 0, and initial condition, xτ(t) = g(t), −τ ≤ t ≤ 0, by assuming that coefficients a and b are random variables ...
Artículo
Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay
(Elsevier, 2019-08)
This paper is concerned with the well-posedness and dynamics of delay impulsive fractional stochastic evolution equations with time fractional differential operator α ∈ (0, 1). After establishing the well-posedness of the ...
Artículo
Informational structures and informational fields as a prototype for the description of postulates of the integrated information theory
(MDPI, 2019-05)
Informational Structures (IS) and Informational Fields (IF) have been recently introduced to deal with a continuous dynamical systems-based approach to Integrated Information Theory (IIT). IS and IF contain all the ...
Artículo
Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations
(Elsevier, 2019-05-15)
We first prove the existence and regularity of the trajectory attractor for a threedimensional system of globally modified Navier-Stokes equations. Then we use the natural translation semigroup and trajectory attractor to ...
Artículo
Unilateral global bifurcation for a class of quasilinear elliptic systems and applications
(Elsevier, 2019-06)
In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, extending the bifurcation theorem of [J. López-Gómez. Nonlinear eigenvalues and global bifurcation ...
Artículo
Existence and regularity results for terminal value problem for nonlinear fractional wave equations
(IOP Science, 2019-11-15)
We consider the terminal value problem (or called nal value problem, initial inverse prob- lem, backward in time problem) of determining the initial value, in a general class of time-fractional wave equations with Caputo ...
Artículo
Upper and Lower Semicontinuity of Impulsive Cocycle Attractors for Impulsive Nonautonomous Systems
(Springer, 2019-12-05)
In this work we present results to ensure a weak upper semicontinuity for a family of impulsive cocycle attractors of nonautonomous impulsive dynamical systems, as well as an example of nonautonomous dynamical system ...
Artículo
Some remarks on an environmental defensive expenditures model
(American Institute of Mathematical Sciences, 2019-03)
In this paper, we consider the environmental defensive expenditures model with delay proposed by Russu in P. Russu, Hopf bifurcation in a environmental defensive expenditures model with time delay, Chaos, Solitons and ...