Asymptotic properties of solutions of systems of nonautonomous ordinary differential equations

This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions. The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type. Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references. For researchers and graduate students interested in the qualitative theory of differential equations. Booknews Provides an overview of the developments in the subject during the last 30 years. Topics include general, linear, and nonlinear differential equations, quasilinear equations, oscillation of solutions and the classification of equations by their oscillatory properties, and higher-order and second-order differential equations of the Emder-Fowler type. Each chapter contains problems, some of which have never been solved, which should comfort the student. Translated from the Russian. Annotation c. Book News, Inc., Portland, OR (booknews.com) Front Matter....Pages i-xiv Linear Differential Equations....Pages 1-143 Quasilinear Differential Equations....Pages 145-178 General Nonlinear Differential Equations....Pages 179-234 Higher Order Differential Equations of Emden-Fowler Type....Pages 235-248 Second Order Differential Equations of Emden-Fowler Type....Pages 249-305 Back Matter....Pages 307-331