In recent years there appeared a large number of papers as well as chapters in more general monographs devoted to evolution equations containing small (or large) parameters. In this book it is intended to gather the existing results as well as to introduce new ones on the field of initial value problems for singularly perturbed evolution equations of the resonance type. Such equations are of great interest in the applied sciences, particularly in the kinetic theory which is chosen as the main field of application for the asymptotic theory developed in the monograph. In recent years here appeared a large number of papers as wellas chapters in more general monographs devoted to evolution equationscontaining small (or large) parameters. In this book it is intended togather the existing results as well as to introduce new ones on thefield of initial value problems for singularly perturbed evolutionequations of the resonance type. Such equations are of great interestin the applied sciences, particularly in the kinetic theory which ischosen as the main field of application for the asymptotic theorydeveloped in the monograph. Used Book in Good Condition