This book is devoted to impulsive differential equations and inclusions. Initial and boundary value problems for both impulsive differential equations and inclusions, as well as for each of impulsive functional differential equations or inclusions, and neutral functional differential equations, are studied. Moreover, results on impulsive semilinear ordinary and functional differential inclusions satisfying nonlocal boundary conditions are given careful attention. Positive solutions and multiple positive solutions for impulsive ordinary and functional differential equations, as well as impulsive differential inclusions satisfying periodic boundary conditions, are also studied. Some of these results are extended to functional differential equations and inclusions for operators that are nondensely defined on a Branch Scope, to impulsive hyperbolic differential inclusions, and to impulsive dynamic equations on time scales. This book is addressed to a wide audience of specialists such as mathematicians, engineering, biologists, and physicists.