Discrete Oscillation Theory

Author : Ravi P. Agarwal
Publisher : Hindawi Publishing Corporation
Page : 977 pages
File Size : 50,6 Mb
Release : 2005
Category : Difference Equations
ISBN : 9789775945198

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Discrete Oscillation Theory by Ravi P. Agarwal Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 42,5 Mb
Release : 1703
Category : Electronic
ISBN : OCLC:211561040

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Copyen van eenige stucken door mr. Nicolaas Listing advocaat [...] in de proceduren, die hy al verder genootsaakt werd te moeten voeren tegen Meynard Domp by Anonim Pdf

Author : Aristide Halanay,Vladimir Rasvan
Publisher : CRC Press
Page : 310 pages
File Size : 41,9 Mb
Release : 2000-10-31
Category : Computers
ISBN : 9056996711

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Stability and Stable Oscillations in Discrete Time Systems by Aristide Halanay,Vladimir Rasvan Pdf

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 : Ravi P. Agarwal,Said R. Grace,Donal O'Regan
Publisher : CRC Press
Page : 416 pages
File Size : 45,5 Mb
Release : 2002-11-21
Category : Mathematics
ISBN : 9780203222898

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Oscillation Theory for Second Order Dynamic Equations by Ravi P. Agarwal,Said R. Grace,Donal O'Regan Pdf

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

Author : Ondřej Došlý,Julia Elyseeva,Roman Šimon Hilscher
Publisher : Springer Nature
Page : 593 pages
File Size : 50,5 Mb
Release : 2019-09-06
Category : Mathematics
ISBN : 9783030193737

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Symplectic Difference Systems: Oscillation and Spectral Theory by Ondřej Došlý,Julia Elyseeva,Roman Šimon Hilscher Pdf

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 : K. Kreith
Publisher : Springer
Page : 115 pages
File Size : 45,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540400059

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Oscillation Theory by K. Kreith Pdf

Author : Ondrej Dosly,Pavel Rehak
Publisher : Elsevier
Page : 533 pages
File Size : 50,6 Mb
Release : 2005-07-06
Category : Mathematics
ISBN : 9780080461236

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Half-Linear Differential Equations by Ondrej Dosly,Pavel Rehak Pdf

The book presents a systematic and compact treatment of the qualitative theory of half-linear differential 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.

Author : D.D Bainov,D.P Mishev
Publisher : CRC Press
Page : 296 pages
File Size : 41,7 Mb
Release : 1991-01-01
Category : Mathematics
ISBN : 0750301422

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Oscillation Theory for Neutral Differential Equations with Delay by D.D Bainov,D.P Mishev Pdf

With neutral differential equations, any lack of smoothness in initial conditions is not damped and so they have proven to be difficult to solve. Until now, there has been little information to help with this problem. Oscillation Theory for Neutral Differential Equations with Delay fills a vacuum in qualitative theory of functional differential equations of neutral type. With much of the presented material previously unavailable outside Eastern Europe, this authoritative book provides a stimulus to research the oscillatory and asymptotic properties of these equations. It examines equations of first, second, and higher orders as well as the asymptotic behavior for tending toward infinity. These results are then generalized for partial differential equations of neutral type. The book also describes the historical development of the field and discusses applications in mathematical models of processes and phenomena in physics, electrical control and engineering, physical chemistry, and mathematical biology. This book is an important tool not only for mathematicians, but also for specialists in many fields including physicists, engineers, and biologists. It may be used as a graduate-level textbook or as a reference book for a wide range of subjects, from radiophysics to electrical and control engineering to biological science.

Author : R.P. Agarwal,Said R. Grace,Donal O'Regan
Publisher : Springer Science & Business Media
Page : 685 pages
File Size : 44,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401725156

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Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations by R.P. Agarwal,Said R. Grace,Donal O'Regan Pdf

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.

Author : Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev
Publisher : Cambridge Scholars Publishing
Page : 496 pages
File Size : 51,7 Mb
Release : 2021-07-27
Category : Technology & Engineering
ISBN : 9781527572973

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Further Insights into Oscillation Theory by Nikolai Verichev,Stanislav Verichev,Vladimir Erofeev Pdf

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 : Randall W. Rhea
Publisher : Artech House
Page : 466 pages
File Size : 46,8 Mb
Release : 2014-05-14
Category : Technology & Engineering
ISBN : 9781608070480

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Discrete Oscillator Design by Randall W. Rhea Pdf

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 : Ravi P. Agarwal,Martin Bohner,Wan-Tong Li
Publisher : CRC Press
Page : 400 pages
File Size : 50,6 Mb
Release : 2004-08-30
Category : Mathematics
ISBN : 9780203025741

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Nonoscillation and Oscillation Theory for Functional Differential Equations by Ravi P. Agarwal,Martin Bohner,Wan-Tong Li Pdf

This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. The authors address oscillatory and nonoscillatory properties of first-order delay and neutral delay differential eq

Author : Martin Bohner,Yiming Ding,Ondřej Došlý
Publisher : Springer
Page : 195 pages
File Size : 44,9 Mb
Release : 2015-12-01
Category : Mathematics
ISBN : 9783319247472

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Difference Equations, Discrete Dynamical Systems and Applications by Martin Bohner,Yiming Ding,Ondřej Došlý Pdf

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 : Kurt Kreith
Publisher : Unknown
Page : 109 pages
File Size : 52,8 Mb
Release : 1973
Category : Differential equations, Partial
ISBN : 0387062580

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Oscillation Theory by Kurt Kreith Pdf

Author : Martin Bohner,Stefan Siegmund,Roman Šimon Hilscher,Petr Stehlík
Publisher : Springer Nature
Page : 363 pages
File Size : 45,7 Mb
Release : 2020-02-10
Category : Mathematics
ISBN : 9783030355029

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Difference Equations and Discrete Dynamical Systems with Applications by Martin Bohner,Stefan Siegmund,Roman Šimon Hilscher,Petr Stehlík Pdf

This book presents the proceedings of the 24th International Conference on Difference Equations and Applications, which was held at the Technical University in Dresden, Germany, in May 2018, under the auspices of the International Society of Difference Equations (ISDE). The conference brought together leading researchers working in the respective fields to discuss the latest developments, and to promote international cooperation on the theory and applications of difference equations. This book appeals to researchers and scientists working in the fields of difference equations and discrete dynamical systems and their applications.