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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.
List of contents
1 Preliminaries.- 2 Oscillation and Nonoscillation of Linear Ordinary Differential Equations.- 3 Oscillation and Nonoscillation of Half-Linear Differential Equations.- 4 Oscillation Theory for Superlinear Differential Equations.- 5 Oscillation Theory for Sublinear Differential Equations.- 6 Further Results on the Oscillation of Differential Equations.- 7 Oscillation Results for Differential Systems.- 8 Asymptotic Behavior of Solutions of Certain Differential Equations.- 9 Miscellaneous Topics.- 10 Nonoscillation Theory for Multivalued Differential Equations.
Summary
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.
Additional text
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)
Report
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)
