Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations

✍ Scribed by Ravi P. Agarwal, Said R. Grace, Donal O’Regan (auth.)

• Publisher: Springer Netherlands
• Year: 2002
• Tongue: English
• Leaves: 684
• Edition: 1
• Category: Library

✦ Synopsis

In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear, and sublinear second-order ordinary differential equations. An important feature of this monograph is the illustration of several results with examples of current interest. This book will stimulate further research into oscillation theory.

This book is written at a graduate level, and is intended for university libraries, graduate students, and researchers working in the field of ordinary differential equations.

✦ Table of Contents

Front Matter....Pages i-xiv
Preliminaries....Pages 1-12
Oscillation and Nonoscillation of Linear Ordinary Differential Equations....Pages 13-92
Oscillation and Nonoscillation of Half-Linear Differential Equations....Pages 93-272
Oscillation Theory for Superlinear Differential Equations....Pages 273-375
Oscillation Theory for Sublinear Differential Equations....Pages 376-456
Further Results on the Oscillation of Differential Equations....Pages 457-490
Oscillation Results for Differential Systems....Pages 491-557
Asymptotic Behavior of Solutions of Certain Differential Equations....Pages 558-624
Miscellaneous Topics....Pages 625-655
Nonoscillation Theory for Multivalued Differential Equations....Pages 656-669
Back Matter....Pages 670-672

✦ Subjects

Ordinary Differential Equations; Real Functions; Functional Analysis