Asymptotic Properties Of Solutions Of Nonautonomous Ordinary Differential Equations (mathematics And Its Applications)
by Ivan Kiguradze /
1992 / English / DjVu
3.7 MB Download
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.
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.
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.
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.
For researchers and graduate students interested in the qualitative
theory of differential equations.
