Discrete Oscillation Theory PDF Download
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Author | : Ravi P. Agarwal |
Publisher | : Hindawi Publishing Corporation |
Total Pages | : 977 |
Release | : 2005 |
Genre | : Difference Equations |
ISBN | : 9775945194 |
Download Discrete Oscillation Theory Book in PDF, ePub and Kindle
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.
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Release | : 1703 |
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Author | : Ravi P. Agarwal |
Publisher | : CRC Press |
Total Pages | : 416 |
Release | : 2002-11-21 |
Genre | : Mathematics |
ISBN | : 9780415300742 |
Download Oscillation Theory for Second Order Dynamic Equations Book in PDF, ePub and Kindle
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.
Author | : K. Kreith |
Publisher | : Springer |
Total Pages | : 115 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540400052 |
Download Oscillation Theory Book in PDF, ePub and Kindle
Author | : Aristide Halanay |
Publisher | : CRC Press |
Total Pages | : 310 |
Release | : 2000-10-31 |
Genre | : Computers |
ISBN | : 9789056996710 |
Download Stability and Stable Oscillations in Discrete Time Systems Book in PDF, ePub and Kindle
The expertise of a professional mathmatician and a theoretical engineer provides a fresh perspective of stability and stable oscillations. The current state of affairs in stability theory, absolute stability of control systems, and stable oscillations of both periodic and almost periodic discrete systems is presented, including many applications in engineering such as stability of digital filters, digitally controlled thermal processes, neurodynamics, and chemical kinetics. This book will be an invaluable reference source for those whose work is in the area of discrete dynamical systems, difference equations, and control theory or applied areas that use discrete time models.
Author | : Ondřej Došlý |
Publisher | : Springer Nature |
Total Pages | : 593 |
Release | : 2019-09-06 |
Genre | : Mathematics |
ISBN | : 303019373X |
Download Symplectic Difference Systems: Oscillation and Spectral Theory Book in PDF, ePub and Kindle
This monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory. As a pioneer monograph in this field it contains nowadays standard theory of symplectic systems, as well as the most current results in this field, which are based on the recently developed central object - the comparative index. The book contains numerous results and citations, which were till now scattered only in journal papers. The book also provides new applications of the theory of matrices in this field, in particular of the Moore-Penrose pseudoinverse matrices, orthogonal projectors, and symplectic matrix factorizations. Thus it brings this topic to the attention of researchers and students in pure as well as applied mathematics.
Author | : Randall W. Rhea |
Publisher | : Artech House |
Total Pages | : 466 |
Release | : 2014-05-14 |
Genre | : Technology & Engineering |
ISBN | : 1608070484 |
Download Discrete Oscillator Design Book in PDF, ePub and Kindle
Oscillators are an essential part of all spread spectrum, RF, and wireless systems, and todayOCOs engineers in the field need to have a firm grasp on how they are designed. Presenting an easy-to-understand, unified view of the subject, this authoritative resource covers the practical design of high-frequency oscillators with lumped, distributed, dielectric and piezoelectric resonators. Including numerous examples, the book details important linear, nonlinear harmonic balance, transient and noise analysis techniques. Moreover, the book shows you how to apply these techniques to a wide range of oscillators. You gain the knowledge needed to create unique designs that elegantly match your specification needs. Over 360 illustrations and more than 330 equations support key topics throughout the book.
Author | : Martin Bohner |
Publisher | : Springer |
Total Pages | : 201 |
Release | : 2015-12-01 |
Genre | : Mathematics |
ISBN | : 3319247476 |
Download Difference Equations, Discrete Dynamical Systems and Applications Book in PDF, ePub and Kindle
These proceedings of the 20th International Conference on Difference Equations and Applications cover the areas of difference equations, discrete dynamical systems, fractal geometry, difference equations and biomedical models, and discrete models in the natural sciences, social sciences and engineering. The conference was held at the Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences (Hubei, China), under the auspices of the International Society of Difference Equations (ISDE) in July 2014. Its purpose was to bring together renowned researchers working actively in the respective fields, to discuss the latest developments, and to promote international cooperation on the theory and applications of difference equations. This book will appeal to researchers and scientists working in the fields of difference equations, discrete dynamical systems and their applications.
Author | : Nikolai Verichev |
Publisher | : Cambridge Scholars Publishing |
Total Pages | : 496 |
Release | : 2021-07-27 |
Genre | : Technology & Engineering |
ISBN | : 1527572978 |
Download Further Insights into Oscillation Theory Book in PDF, ePub and Kindle
The book is written for students of universities and postgraduate students specializing in the field of nonlinear dynamics, as well as specialists in various fields of mechanical engineering. It is devoted to the development of original methods, and outlines the results of analytical studies of dynamical chaos, synchronization, and dynamic structures in lattices of coupled rotators. It presents its findings within the context of the phase space of models and by involving methods of the qualitative theory of differential equations, the theory of bifurcations, and qualitative numerical methods.
Author | : Kurt Kreith |
Publisher | : |
Total Pages | : 109 |
Release | : 1973 |
Genre | : Differential equations, Partial |
ISBN | : 9780387062587 |
Download Oscillation Theory Book in PDF, ePub and Kindle