Search Results: differential-difference-equations

Differential-Difference Equations

Author: Bellman

Publisher: Academic Press

ISBN: 0080955142

Category: Mathematics

Page: 461

View: 6423

Differential-Difference Equations

Asymptotic Behavior of Solutions of Differential-Difference Equations

Author: Richard Bellman,Kenneth L. Cooke

Publisher: American Mathematical Soc.

ISBN: 0821812351

Category: Difference equations

Page: 91

View: 2292

Optimal Control of Systems Described by Differential Difference Equations

Author: Stanford University. Division of Engineering Mechanics,Dale Walter Ross

Publisher: N.A

ISBN: N.A

Category: Mathematical optimization

Page: 113

View: 7585

Modelling with Differential and Difference Equations

Author: Glenn Fulford,Peter John Forrester,Peter Forrester,Arthur Jones

Publisher: Cambridge University Press

ISBN: 9780521446181

Category: Mathematics

Page: 405

View: 4228

The theme of this book is modeling the real world using mathematics. The authors concentrate on the techniques used to set up mathematical models and describe many systems in full detail, covering both differential and difference equations in depth. Among the broad spectrum of topics studied in this book are: mechanics, genetics, thermal physics, economics and population studies.

Difference equations from differential equations

Author: Wilbert J. Lick

Publisher: Springer

ISBN: N.A

Category: Mathematics

Page: 282

View: 3748

Differential-Difference Equations/Differential-Differenzengleichungen

Applications and Numerical Problems/Anwendungen und numerische Probleme

Author: COLLATZ,MEINARDUS,WETTERLING

Publisher: Birkhäuser

ISBN: 3034867670

Category: Juvenile Nonfiction

Page: 196

View: 7336

A nonlinear system of differential-difference equations

Author: Virginia Walbran Noonburg

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 168

View: 8190

Differential and difference equations

Author: Louis Brand

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 698

View: 3483

Difference and Differential Equations with Applications in Queueing Theory

Author: Aliakbar Montazer Haghighi,Dimitar P. Mishev

Publisher: John Wiley & Sons

ISBN: 1118393244

Category: Business & Economics

Page: 404

View: 4333

"This book features a collection of topics that are used in stochastic processes and, particularly, in queueing theory. Differential equations, difference equations, and Markovian queues (as they relate to systems of linear differential difference equations) are presented, and the relationship between the methods and applications are thoroughly addressed"--

Difference Equations and Their Applications

Author: A.N. Sharkovsky,Y. L. Maistrenko,E.Yu Romanenko

Publisher: Springer Science & Business Media

ISBN: 9780792321941

Category: Mathematics

Page: 358

View: 8926

The theory of difference equations is now enjoying a period of Renaissance. Witness the large number of papers in which problems, having at first sight no common features, are reduced to the investigation of subsequent iterations of the maps f· IR. m ~ IR. m, m > 0, or (which is, in fact, the same) to difference equations The world of difference equations, which has been almost hidden up to now, begins to open in all its richness. Those experts, who usually use differential equations and, in fact, believe in their universality, are now discovering a completely new approach which re sembles the theory of ordinary differential equations only slightly. Difference equations, which reflect one of the essential properties of the real world-its discreteness-rightful ly occupy a worthy place in mathematics and its applications. The aim of the present book is to acquaint the reader with some recently discovered and (at first sight) unusual properties of solutions for nonlinear difference equations. These properties enable us to use difference equations in order to model complicated os cillating processes (this can often be done in those cases when it is difficult to apply ordinary differential equations). Difference equations are also a useful tool of syn ergetics- an emerging science concerned with the study of ordered structures. The application of these equations opens up new approaches in solving one of the central problems of modern science-the problem of turbulence.

Topics in Functional Differential and Difference Equations

Author: Teresa Faria

Publisher: American Mathematical Soc.

ISBN: 0821827014

Category: Mathematics

Page: 378

View: 750

This volume contains papers written by participants at the Conference on Functional Differential and Difference Equations held at the Instituto Superior Tecnico in Lisbon, Portugal. The conference brought together mathematicians working in a wide range of topics, including qualitative properties of solutions, bifurcation and stability theory, oscillatory behavior, control theory and feedback systems, biological models, state-dependent delay equations, Lyapunov methods, etc. The articles are written by leading experts in the field. A comprehensive overview is given of these active areas of current research. The book will be of interest to both theoretical and applied mathematical scientists.

Proceedings of the Conference on Differential & Difference Equations and Applications

Melbourne, Aug. 1-5, 2005

Author: Ravi P. Agarwal,Kanishka Perera

Publisher: Hindawi Publishing Corporation

ISBN: 9789775945389

Category: Difference equations

Page: 1237

View: 9901

Boundary Value Problems for Systems of Differential, Difference and Fractional Equations

Positive Solutions

Author: Johnny Henderson,Rodica Luca

Publisher: Academic Press

ISBN: 0128036796

Category: Mathematics

Page: 322

View: 9955

Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation will have them, this book will provide a timely presentation on the topic. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed. Explains the systems of second order and higher orders differential equations with integral and multi-point boundary conditions Discusses second order difference equations with multi-point boundary conditions Introduces Riemann-Liouville fractional differential equations with uncoupled and coupled integral boundary conditions

Symmetries and Integrability of Difference Equations

Author: Decio Levi,Peter Olver,Zora Thomova,Pavel Winternitz

Publisher: Cambridge University Press

ISBN: 1139493841

Category: Mathematics

Page: N.A

View: 3941

Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference ones. Each of the eleven chapters is a self-contained treatment of a topic, containing introductory material as well as the latest research results. The book will be welcomed by graduate students and researchers seeking an introduction to the field. As a survey of the current state of the art it will also serve as a valuable reference.

Stochastic Differential and Difference Equations

Author: Imre Csiszár

Publisher: Springer Science & Business Media

ISBN: 9780817639716

Category: Mathematics

Page: 353

View: 5690

Introduction to Functional Differential Equations

Author: Jack K. Hale,Sjoerd M. Verduyn Lunel

Publisher: Springer Science & Business Media

ISBN: 1461243424

Category: Mathematics

Page: 450

View: 4268

The present book builds upon an earlier work of J. Hale, "Theory of Func tional Differential Equations" published in 1977. We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a complete new presentation of lin ear systems (Chapters 6~9) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global at tractors was completely revamped as well as the invariant manifold theory (Chapter 10) near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented (see Chapters 1, 2, 3, 9, and 10). Chapter 12 is completely new and contains a guide to active topics of re search. In the sections on supplementary remarks, we have included many references to recent literature, but, of course, not nearly all, because the subject is so extensive. Jack K. Hale Sjoerd M. Verduyn Lunel Contents Preface............................................................ v Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . 1. Linear differential difference equations . . . . . . . . . . . . . . 11 . . . . . . 1.1 Differential and difference equations. . . . . . . . . . . . . . . . . . . . 11 . . . . . . . . 1.2 Retarded differential difference equations. . . . . . . . . . . . . . . . 13 . . . . . . . 1.3 Exponential estimates of x( ¢,f) . . . . . . . . . . . . . . . . . . . . . 15 . . . . . . . . . . 1.4 The characteristic equation . . . . . . . . . . . . . . . . . . . . . . . . 17 . . . . . . . . . . . . 1.5 The fundamental solution. . . . . . . . . . . . . . . . . . . . . . . . . . 18 . . . . . . . . . . . . 1.6 The variation-of-constants formula............................. 23 1. 7 Neutral differential difference equations . . . . . . . . . . . . . . . . . 25 . . . . . . . 1.8 Supplementary remarks. . . . . . . . . . . . . . . . . . . . . . . . . . . 34 . . . . . . . . . . . . . 2. Functional differential equations: Basic theory . . . . . . . . 38 . . 2.1 Definition of a retarded equation. . . . . . . . . . . . . . . . . . . . . . 38 . . . . . . . . . 2.2 Existence, uniqueness, and continuous dependence . . . . . . . . . . 39 . . . 2.3 Continuation of solutions . . . . . . . . . . . . . . . . . . . . . . . . . . 44 . . . . . . . . . . . .

Positive Solutions of Differential, Difference and Integral Equations

Author: R.P. Agarwal,Donal O'Regan,Patricia J.Y. Wong

Publisher: Springer Science & Business Media

ISBN: 9401591717

Category: Mathematics

Page: 418

View: 2768

In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.

Differential and Difference Equations with Applications

ICDDEA, Amadora, Portugal, May 2015, Selected Contributions

Author: Sandra Pinelas,Zuzana Došlá,Ondřej Došlý,Peter E. Kloeden

Publisher: Springer

ISBN: 3319328573

Category: Mathematics

Page: 451

View: 5899

Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential & Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell. Contributions include new trends in the field of differential and difference equations, applications of differential and difference equations, as well as high-level survey results. The main aim of this recurring conference series is to promote, encourage, cooperate, and bring together researchers in the fields of differential & difference equations. All areas of differential and difference equations are represented, with special emphasis on applications.

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