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Inclusiones Diferenciales con Conos Normales de Conjuntos no Regulares en Espacios de HilbertDifferential Inclusions involving normal cones of nonregular sets in Hilbert spacesInclusiónes diferenciales con conos normales de conjuntos no regulares en espaciós de hilbertdifferential inclusións involving normal cones of nonregular sets in hilbert spaces
(2017)
This thesis is dedicated to the study of differential inclusions involving normal cones of nonregular sets in Hilbert spaces. In particular, we are interested in the sweeping process and its variants. The sweeping process ...
Invariant sets and lyapunov pairs for differential inclusions with maximal monotone operators
(2018)
We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation ...
A new approach to linear interval differential equations as a first step toward solving fuzzy differential
(2018-09-15)
This study uses a concept of interval differentiability, which was recently introduced, to formulate interval initial value problems involving linear interval differential equations. Differently from the approaches that ...
Characterization of Filippov representable maps and Clarke subdifferentials
(Springer, 2020)
The ordinary differential equation x˙ (t) = f(x(t)), t ≥ 0, for f measurable, is not sufficiently
regular to guarantee existence of solutions. To remedy this we may relax the problem by
replacing the function f with its ...
Non-convex sweeping processes involving maximal monotone operators
(Taylor & Francis, 2017)
By using a regularization method, we study in this paper the global existence and uniqueness property of a new variant of non-convex sweeping processes involving maximal monotone operators. The system can be considered as ...
Discontinuous sweeping process with prox regular sets
(EDP Sciences, 2017)
In this paper, we study the well-posedness (in the sense of existence and uniqueness of a solution) of a discontinuous sweeping process involving prox-regular sets in Hilbert spaces. The variation of the moving set is ...
Weak Lyapunov functions and differential inclusions involving prox-regular sets
(2019)
We first give criteria for weak Lyapunov functions associated to differential inclusions, given in R-n and governed by Lipschitz Cusco perturbations of maximal monotone operators. Next, we apply this result to study the ...
Galerkin like method and generalized perturbed sweeping process with nonregular sets
(SIAM Publications, 2017)
In this paper we present a new method to solve differential inclusions in Hilbert spaces. This method is a Galerkin-like method where we approach the original problem by projecting the state into a n-dimensional Hilbert ...