Bibikov Y.N. Local Theory of Nonlinear Analytic Ordinary Differential Equations

Springer, 1979. — 154 p.
These notes present a course of lectures given by the author at the Division of Applied Mathematics, Brown University during the second semester of the academic year 1975-1976. They are based on a course, on the theory of the stability of the motion, which the author gave at the Department of Mathematics and Mechanics at the University of Leningrad during the last several years, and on some recent publications by the author.