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Artículo
Boundary controllability of a one-dimensional phase-field system with one control force
(Elsevier, 2020-03-21)
In this paper, we present some controllability results for linear and nonlinear phase-field systems of Caginalp type considered in a bounded interval of when the scalar control force acts on the temperature equation of ...
Artículo
Partial stability analysis of stochastic differential equations with a general decay rate
(Springer, 2021-08-28)
This paper is concerned with the almost sure partial practical stability of stochastic differential equations with general decay rate. We establish some sufficient conditions based upon the construction of appropriate ...
Artículo
Observability inequalities on measurable sets for the stokes system and applications
(SIAM, 2020-07-29)
In this paper, we establish spectral inequalities on measurable sets of positiveLebesgue measure for the Stokes operator, as well as observability inequalities on space-time mea-surable sets of positive ...
Artículo
Practical stability with respect to a part of variables of stochastic differential equations
(Taylor & Francis, 2020-01-01)
In this paper, practical stability with respect to a part of the variables of nonlinear stochastic differential equations is studied. The analysis of the global practical uniform asymptotic stability, the global practical ...
Artículo
New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations
(DOAJ, 2021-09)
This paper addresses the stability study for nonlinear neutral differ ential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymp totic ...
Artículo
Dynamics of fermentation models for the production of dry and sweet wine
(AIMS, 2020-01-01)
In thisworkweconsidertwoclassicalmathematicalmodelsofwine fermentation.Thefirstmodeldescribesthewine-makingprocessthatisused to producedrywine.Thesecondmodelisobtainedbyintroducingatermin the equationofthedynamicsofth ...
Artículo
Non-autonomous nonlocal partial differential equations with delay and memory
(Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 2020-09-15)
The paper addresses a kind of non-autonomous nonlocal parabolic equations when the external force contains hereditary characteristics involving bounded and unbounded delays. First, well-posedness of the problem is analyzed ...
Artículo
The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations
(ScienceDirect, 2021-01-01)
In this work, we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic perturbations. For the linear case, we study robustness and existence of exponential dichotomies ...