Artículos (Ecuaciones Diferenciales y Análisis Numérico)
Recent Submissions
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Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems [Article]
(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 ...
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Modeling and analysis of random and stochastic input flows in the chemostat model [Article]
(American Institute of Mathematical Sciences, 2019-08)In this paper we study a new way to model noisy input flows in the chemostat model, based on the Ornstein-Uhlenbeck process. We introduce a parameter β as drift in the Langevin equation, that allows to bridge a gap between ...
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Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel [Article]
(Elsevier, 2020-04)In this work, we investigate a stochastic epidemic model with relapse and distributed delay. First, we prove that our model possesses and unique global positive solution. Next, by means of the Lyapunov method, we determine ...
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A free boundary tumor model with time dependent nutritional supply [Article]
(Elsevier, 2020-06)A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential ...
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On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations [Article]
(American Institute of Mathematical Sciences, 2019-10)In this paper, under a local Lipschitz condition and a monotonicity condition, the problems on the existence and uniqueness theorem as well as the almost surely asymptotic behavior for the global solution of highly nonlinear ...
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Analysis of a stochastic 2D–Navier-Stokes model with infinite delay [Article]
(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 ...
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Trajectory and global attractors for generalized processes [Article]
(American Institute of Mathematical Sciences, 2019-08)In this work the theory of generalized processes is used to describe the dynamics of a nonautonomous multivalued problem and, through this approach, some conditions for the existence of trajectory attractors are proved. ...
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Exact controllability to the trajectories for parabolic PDEs with nonlocal nonlinearities [Article]
(Springer, 2019-09)This paper deals with the analysis of the internal control of a parabolic PDE with nonlinear diffusion, nonlocal in space. In our main result, we prove the local exact controllability to the trajectories with distributed ...
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A non-local perturbation of the logistic equation in IR N [Article]
(Elsevier, 2019-10)A logistic equation in the whole space is considered. In this problem, a non-local perturbation is included. We establish a new sub-supersolution method forgeneral nonlocal elliptic equations and, consequently, we obtain ...
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A streamline derivative POD-ROM for advection-diffusion-reaction equations [Article]
(EDP Sciences, 2018-10)We introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (PODROM). As a first preliminary step, the proposed ...
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Unilateral global bifurcation for a class of quasilinear elliptic systems and applications [Article]
(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 ...
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Unconditionally energy stable fully discrete schemes for a chemo-repulsion model [Article]
(American Mathematical Society, 2019-09)This work is devoted to studying unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: find u ≥ 0, the cell density, and v ≥ 0, the chemical ...
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Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model [Article]
(Springer, 2019-08)In this paper, we introduce a model describing the dynamic of vesicle membranes within an incompressible viscous fluid in 3D domains. The system consists of the NavierStokes equations, with an extra stress tensor depending ...
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Exponential stability of an incompressible non-Newtonian fluid with delay [Article]
(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. ...
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Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations [Article]
(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 ...
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The asymptotic behaviour of fractional lattice systems with variable delay [Article]
(De Gruyter, 2019-06)The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time ...
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A way to model stochastic perturbations in population dynamics models with bounded realizations [Article]
(Elsevier, 2019-10)In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy perturbations. In order to discuss the main characteristics of this new approach we consider some ...
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Existence of solutions and stability for impulsive neutral stochastic functional differential equations [Article]
(Taylor & Franci, 2019)In this paper we prove some results on the existence of solutions and the mean square asymptotic stability for a class of impulsive neutral stochastic differential systems with variable delays by using a contraction mapping ...
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Long time behavior of fractional impulsive stochastic differential equations with infinite delay [Article]
(American Institute of Mathematical Sciences, 2019-06)This paper is first devoted to the local and global existence of mild solutions for a class of fractional impulsive stochastic differential equations with infinite delay driven by both K-valued Q-cylindrical Brownian motion ...
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Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion [Article]
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2019-02)In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential inclusion with an infinite-dimensional fractional Brownian motion. We consider the cases in which the ...