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

  • Book
  • © 2002

Overview

Authors:
  1. Ravi P. Agarwal

    1. Florida Institute of Technology, Melbourne, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Said R. Grace

    1. Cairo University, Orman, Giza, Egypt

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    You can also search for this author in PubMed   Google Scholar

  3. Donal O’Regan

    1. National University of Ireland, Galway, Ireland

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  • Illustrates several results with examples of current interest
  • Will stimulate further research in oscillation theory

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Preliminaries

    • Ravi P. Agarwal, Said R. Grace, Donal O’Regan
    Pages 1-12

  3. Oscillation and Nonoscillation of Linear Ordinary Differential Equations

    • Ravi P. Agarwal, Said R. Grace, Donal O’Regan
    Pages 13-92

  4. Oscillation and Nonoscillation of Half-Linear Differential Equations

    • Ravi P. Agarwal, Said R. Grace, Donal O’Regan
    Pages 93-272

  5. Oscillation Theory for Superlinear Differential Equations

    • Ravi P. Agarwal, Said R. Grace, Donal O’Regan
    Pages 273-375

  6. Oscillation Theory for Sublinear Differential Equations

    • Ravi P. Agarwal, Said R. Grace, Donal O’Regan
    Pages 376-456

  7. Further Results on the Oscillation of Differential Equations

    • Ravi P. Agarwal, Said R. Grace, Donal O’Regan
    Pages 457-490

  8. Oscillation Results for Differential Systems

    • Ravi P. Agarwal, Said R. Grace, Donal O’Regan
    Pages 491-557

  9. Asymptotic Behavior of Solutions of Certain Differential Equations

    • Ravi P. Agarwal, Said R. Grace, Donal O’Regan
    Pages 558-624

  10. Miscellaneous Topics

    • Ravi P. Agarwal, Said R. Grace, Donal O’Regan
    Pages 625-655

  11. Nonoscillation Theory for Multivalued Differential Equations

    • Ravi P. Agarwal, Said R. Grace, Donal O’Regan
    Pages 656-669

  12. Back Matter

    Pages 670-672
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Keywords

About this book

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.

Reviews

From the reviews:

"The monograph under review is a very successful attempt to collect and systematically present numerous oscillation or nonoscillation criteria for various classes of linear and nonlinear differential equations and related results on asymptotic behavior of solutions … . The book is nicely written and the selection of the material is very interesting … . The book is a welcome addition to the existing literature on oscillation and shall be useful for researchers and graduate students in differential equations … ." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1073 (24), 2005)

Authors and Affiliations

  • Florida Institute of Technology, Melbourne, USA

    Ravi P. Agarwal

  • Cairo University, Orman, Giza, Egypt

    Said R. Grace

  • National University of Ireland, Galway, Ireland

    Donal O’Regan

Bibliographic Information

  • Book Title: Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations

  • Authors: Ravi P. Agarwal, Said R. Grace, Donal O’Regan

  • DOI: https://doi.org/10.1007/978-94-017-2515-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2002

  • Hardcover ISBN: 978-1-4020-0802-3Published: 31 July 2002

  • Softcover ISBN: 978-90-481-6095-2Published: 22 January 2011

  • eBook ISBN: 978-94-017-2515-6Published: 09 March 2013

  • Edition Number: 1

  • Number of Pages: XIV, 672

  • Topics: Ordinary Differential Equations, Real Functions, Functional Analysis

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