Search Results: differential-difference-equations

Differential-Difference Equations

Author: Bellman

Publisher: Academic Press

ISBN: 0080955142

Category: Mathematics

Page: 461

View: 4672

Differential-Difference Equations

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: 908

Differential-difference Equations

Author: Alekseĭ Fedorovich Leontʹev

Publisher: N.A

ISBN: N.A

Category: Differential-difference equations

Page: 33

View: 7478

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: 6494

Stochastic Differential and Difference Equations

Author: Imre Csiszár

Publisher: Springer Science & Business Media

ISBN: 9780817639716

Category: Mathematics

Page: 353

View: 6287

Differential and difference equations

Author: Louis Brand

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 698

View: 1706

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: 2832

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.

Recent Advances in Delay Differential and Difference Equations

Author: Ferenc Hartung,Mihaly Pituk

Publisher: Springer

ISBN: 3319082515

Category: Mathematics

Page: 263

View: 9323

Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering and control theory. In this volume, the participants of the International Conference on Delay Differential and Difference Equations and Applications, Balatonfüred, Hungary, July 15-19, 2013 present recent research in this quickly-evolving field. The papers relate to the existence, asymptotic and oscillatory properties of the solutions; stability theory; numerical approximations; and applications to real world phenomena using deterministic and stochastic discrete and continuous dynamical systems.

Linear Differential and Difference Equations

A Systems Approach for Mathematicians and Engineers

Author: R. M. Johnson

Publisher: Elsevier

ISBN: 0857099809

Category: Mathematics

Page: 176

View: 9684

This text for advanced undergraduates and graduates reading applied mathematics, electrical, mechanical, or control engineering, employs block diagram notation to highlight comparable features of linear differential and difference equations, a unique feature found in no other book. The treatment of transform theory (Laplace transforms and z-transforms) encourages readers to think in terms of transfer functions, i.e. algebra rather than calculus. This contrives short-cuts whereby steady-state and transient solutions are determined from simple operations on the transfer functions. Employs block diagram notation to highlight comparable features of linear differential and difference equations The treatment of transform theory (Laplace transforms and z-transforms) encourages readers to think in terms of transfer functions, i.e. algebra rather than calculus

Differential and Difference Equations through Computer Experiments

With Diskettes Containing PHASER: An Animator/Simulator for Dynamical Systems for IBM Personal Computers

Author: Hüseyin Kocak

Publisher: Springer

ISBN: 9780387969183

Category: Mathematics

Page: 224

View: 4448

Phaser is a sophisticated program for IBM personal com- puters, developed atBrown University by the author and some of his students, which enables usersto experiment with differential and difference equations and dynamical systems in an interactive environment using graphics. This book begins with a brief discussion of the geometric inter- pretation of differential equations and numerical methods, and proceeds to guide the student through the use of the program. To run Phaser, you need an IBM PC, XT, AT, or PS/2 with an IBM Color GRaphics Board (CGB), Enhanced Graphics Adapter (VGA). A math coprocessor is supported; however, one is not required for Phaser to run on the above hardware.

Differential-Difference Equations/Differential-Differenzengleichungen

Applications and Numerical Problems/Anwendungen und numerische Probleme

Author: COLLATZ,MEINARDUS,WETTERLING

Publisher: Birkhäuser

ISBN: 3034867670

Category: Science

Page: 196

View: 3620

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: 8533

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: 2380

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.

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: 5947

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

Difference equations from differential equations

Author: Wilbert J. Lick

Publisher: Springer

ISBN: N.A

Category: Mathematics

Page: 282

View: 3355

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: 3059

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.

Difference Equations

Theory, Applications and Advanced Topics, Third Edition

Author: Ronald E. Mickens

Publisher: CRC Press

ISBN: 1482230798

Category: Mathematics

Page: 555

View: 7823

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with adding several advanced topics, this edition continues to cover general, linear, first-, second-, and n-th order difference equations; nonlinear equations that may be reduced to linear equations; and partial difference equations. New to the Third Edition New chapter on special topics, including discrete Cauchy–Euler equations; gamma, beta, and digamma functions; Lambert W-function; Euler polynomials; functional equations; and exact discretizations of differential equations New chapter on the application of difference equations to complex problems arising in the mathematical modeling of phenomena in engineering and the natural and social sciences Additional problems in all chapters Expanded bibliography to include recently published texts related to the subject of difference equations Suitable for self-study or as the main text for courses on difference equations, this book helps readers understand the fundamental concepts and procedures of difference equations. It uses an informal presentation style, avoiding the minutia of detailed proofs and formal explanations.

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: 4625

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.

Stability Analysis of Impulsive Functional Differential Equations

Author: Ivanka Stamova

Publisher: Walter de Gruyter

ISBN: 3110221810

Category: Mathematics

Page: 230

View: 7642

This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equationsis under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researches and practitioners.

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