B Stability of the Solutions of Differential Equations

In this book we place high emphasis on the method of averaging on an infinite interval as applied to the research into stability of the solutions of differential equations. For this reason we provide some definitions and results of the Lyapunov Stability Theory, that we use in this book. A more detailed account of the theory of stability is presented in Krasovskii [1963], Malkin [1966], Hahn [1963], and Rumiantsev, and Oziraner [1987].