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 ...

Esta tesis está dedicada al estudio de inclusiones diferenciales con conos normales de conjuntos no regulares en espacios de Hilbert. En particular, nos interesa el proceso de arrastre y sus variantes. El proceso de arrastre ...

In this PhD thesis, we make some contributions to nonsmooth Lyapunov stability of first-order differential inclusions with maximal monotone operators, in the setting of infinite-dimensional Hilbert spaces. We provide ...

This thesis has two main purposes: first, we shall compare continuous and discrete trajectories associated to a differential inclusion governed by the sum of a maximally monotone operator with a cocoercive operator and ...