Impulses in Differential Equations and Dynamical Systems

Abstract

Many systems present a dynamic behavior that is characterized by the fact that at certain times they undergo a sudden change throughout their evolution. This situation is going to be studied in this memory. On the one hand, different techniques will be used to study some boundary value problems for impulsive differential equations. This type of differential equations presents new and unexpected behaviors even in simple cases. On the other hand, the asymptotic behavior and attractors for dynamical systems with impulses will also be studied, mainly the case of evolution processes.