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

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 152/5 ( reviews)

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Book Synopsis Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations by : R.P. Agarwal

Download or read book Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations written by R.P. Agarwal. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Oscillation Theory for Second Order Dynamic Equations

2002-11-21 Mathematics
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Release : 2002-11-21
Genre : Mathematics
Kind : eBook
Book Rating : 89X/5 ( reviews)

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Book Synopsis Oscillation Theory for Second Order Dynamic Equations by : Ravi P. Agarwal

Download or read book Oscillation Theory for Second Order Dynamic Equations written by Ravi P. Agarwal. This book was released on 2002-11-21. Available in PDF, EPUB and Kindle. Book excerpt: 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 journa

Half-Linear Differential Equations

2005-07-06 Mathematics
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Release : 2005-07-06
Genre : Mathematics
Kind : eBook
Book Rating : 239/5 ( reviews)

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Book Synopsis Half-Linear Differential Equations by : Ondrej Dosly

Download or read book Half-Linear Differential Equations written by Ondrej Dosly. This book was released on 2005-07-06. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form. The main topics covered by the book are oscillation and asymptotic theory and the theory of boundary value problems associated with half-linear equations, but the book also contains a treatment of related topics like PDE's with p-Laplacian, half-linear difference equations and various more general nonlinear differential equations.- The first complete treatment of the qualitative theory of half-linear differential equations.- Comparison of linear and half-linear theory.- Systematic approach to half-linear oscillation and asymptotic theory.- Comprehensive bibliography and index.- Useful as a reference book in the topic.

Discrete Oscillation Theory

2005 Difference Equations
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Release : 2005
Genre : Difference Equations
Kind : eBook
Book Rating : 194/5 ( reviews)

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Book Synopsis Discrete Oscillation Theory by : Ravi P. Agarwal

Download or read book Discrete Oscillation Theory written by Ravi P. Agarwal. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a rapidly developing branch of the qualitative theory of difference equations with or without delays. It presents the theory of oscillation of difference equations, exhibiting classical as well as very recent results in that area. While there are several books on difference equations and also on oscillation theory for ordinary differential equations, there is until now no book devoted solely to oscillation theory for difference equations. This book is filling the gap, and it can easily be used as an encyclopedia and reference tool for discrete oscillation theory. In nine chapters, the book covers a wide range of subjects, including oscillation theory for second-order linear difference equations, systems of difference equations, half-linear difference equations, nonlinear difference equations, neutral difference equations, delay difference equations, and differential equations with piecewise constant arguments. This book summarizes almost 300 recent research papers and hence covers all aspects of discrete oscillation theory that have been discussed in recent journal articles. The presented theory is illustrated with 121 examples throughout the book. Each chapter concludes with a section that is devoted to notes and bibliographical and historical remarks. The book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists. Besides serving as a reference tool for researchers in difference equations, this book can also be easily used as a textbook for undergraduate or graduate classes. It is written at a level easy to understand for college students who have had courses in calculus.

Advances in Difference Equations and Discrete Dynamical Systems

2017-11-13 Mathematics
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Release : 2017-11-13
Genre : Mathematics
Kind : eBook
Book Rating : 091/5 ( reviews)

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Book Synopsis Advances in Difference Equations and Discrete Dynamical Systems by : Saber Elaydi

Download or read book Advances in Difference Equations and Discrete Dynamical Systems written by Saber Elaydi. This book was released on 2017-11-13. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 22nd International Conference on Difference Equations and Applications, held at Osaka Prefecture University, Osaka, Japan, in July 2016. The conference brought together both experts and novices in the theory and applications of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete dynamical systems with applications to mathematical sciences and, in particular, mathematical biology and economics. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete dynamical systems, and their applications.

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