Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations von Ivan Kiguradze | ISBN 9789401047975

Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations

von Ivan Kiguradze und T.A. Chanturia
Mitwirkende
Autor / AutorinIvan Kiguradze
Autor / AutorinT.A. Chanturia
Buchcover Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations | Ivan Kiguradze | EAN 9789401047975 | ISBN 94-010-4797-9 | ISBN 978-94-010-4797-5

Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations

von Ivan Kiguradze und T.A. Chanturia
Mitwirkende
Autor / AutorinIvan Kiguradze
Autor / AutorinT.A. Chanturia

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.