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.