<p><P>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 exa
Oscillation theory for second order dynamic equations
β Scribed by Agarwal R.P., Grace S.R., O'Regan D.
- Publisher
- Taylor
- Year
- 2003
- Tongue
- English
- Leaves
- 413
- Series
- Mathematical Analysis and Applications
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
The qualitative theory of dynamic equations is a rapidly developing area of research. In the last 50 years, the Oscillation Theory of ordinary, functional, neutral, partial and impulsive differential equations, and their discrete versions, has inspired many scholars. Hundreds of research papers have been published in every major mathematical journal. Many books deal exclusively with the oscillation of solutions of differential equations, but most of these books appeal only to researchers who already know the subject. In an effort to bring Oscillation Theory to a new and broader audience, the authors present a compact, but thorough, understanding of Oscillation Theory for second order differential equations. They include several examples throughout the text not only to illustrate the theory, but also to provide new direction.
π SIMILAR VOLUMES
The study of dynamic equations on time scales, which goes back to its founder Stefan Hilger is an area of mathematics and has been created in order to unify the study of differential and difference equations. The oscillation theory as a part of the qualitative theory of dynamic equations on tim
The qualitative theory of dynamic equations is a rapidly developing area of research. In the last 50 years, the Oscillation Theory of ordinary, functional, neutral, partial and impulsive differential equations, and their discrete versions, has inspired many scholars. Hundreds of research papers have
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 examp
Agarwal (Florida Institute of Technology), Grace (Cairo University) and O'Regan (University of Ireland) develop oscillation and non- oscillation theory for second order differential equations, with separate chapters addressing the solution of linear, half-linear, superlinear, and sublinear types of
Differential and difference equations have long played important roles in the history of theoretical models. The oscillation theory as a part of the qualitative theory of these types of equations has been developed rapidly in the past thirty years. The extensive application prospect facilitate