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Lipschitz stability of generalized ordinary differential equations and impulsive retarded differential equations
(2019-01-01)
We consider a class of retarded functional differential equations with preas-signed moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary ...
Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators
(Springer, 2020)
We give new criteria for weak and strong invariant closed sets for differential inclusions in Double-struck capital Rn, and which are simultaneously governed by Lipschitz Cusco mapping and by maximal monotone operators. ...
Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators
(Academic Press Inc., 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 ...
Local convergence of exact and inexact newton’s methods for subanalytic variational inclusionsLocal convergence of exact and inexact Newton's methods for subanalytic
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2015)
Sobre una conjetura de de Giorgi y algunas variantes
(Universidad Tecnológica de PereiraFacultad de Ciencias BásicasPereiraMaestría en Matemática, 2022)