Linear Difference Equations With Discrete Transform Methods

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Linear Difference Equations With Discrete Transform Methods

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Author : A.J. Jerri
language : en
Publisher: Springer
Release Date : 2013-01-21

Linear Difference Equations With Discrete Transform Methods written by A.J. Jerri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-21 with Mathematics categories.

This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solv ing, primarily, ordinary linear difference equations. Examples from various fields are presented clearly in the first chapter, then discussed along with their detailed solutions in Chapters 2-7. The book is in tended mainly as a text for the beginning undergraduate course in difference equations, where the "operational sum calculus" of the di rect use of the discrete Fourier transforms for solving boundary value problems associated with difference equations represents an added new feature compared to other existing books on the subject at this introductory level. This means that in addition to the familiar meth ods of solving difference equations that are covered in Chapter 3, this book emphasizes the use of discrete transforms. It is an attempt to introduce the methods and mechanics of discrete transforms for solv ing ordinary difference equations. The treatment closely parallels what many students have already learned about using the opera tional (integral) calculus of Laplace and Fourier transforms to solve differential equations. As in the continuous case, discrete operational methods may not solve problems that are intractable by other meth ods, but they can facilitate the solution of a large class of discrete initial and boundary value problems. Such operational methods, or what we shall term "operational sum calculus," may be extended eas ily to solve partial difference equations associated with initial and/or boundary value problems.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2005

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Theory And Application Of The Z Transform Method

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Author : Eliahu Ibrahim Jury
language : en
Publisher:
Release Date : 1964

Theory And Application Of The Z Transform Method written by Eliahu Ibrahim Jury and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Mathematics categories.

An Introduction To Difference Equations

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Author : Saber Elaydi
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-15

An Introduction To Difference Equations written by Saber Elaydi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-15 with Mathematics categories.

In contemplating the third edition, I have had multiple objectives to achieve. The ?rst and foremost important objective is to maintain the - cessibility and readability of the book to a broad readership with varying mathematical backgrounds and sophistication. More proofs, more graphs, more explanations, and more applications are provided in this edition. The second objective is to update the contents of the book so that the reader stays abreast of new developments in this vital area of mathematics. Recent results on local and global stability of one-dimensional maps are included in Chapters 1, 4, and Appendices A and C. An extension of the Hartman–Grobman Theorem to noninvertible maps is stated in Appendix D. A whole new section on various notions of the asymptoticity of solutions and a recent extension of Perron’s Second Theorem are added to Chapter 8. In Appendix E a detailed proof of the Levin–May Theorem is presented. In Chapters 4 and 5, the reader will ?nd the latest results on the larval– pupal–adult ?our beetle model. The third and ?nal objective is to better serve the broad readership of this book by including most, but certainly not all, of the research areas in di?erence equations. As more work is being published in the Journal of Di?erence Equations and Applications and elsewhere, it became apparent that a whole chapter needed to be dedicated to this enterprise. With the prodding and encouragement of Gerry Ladas, the new Chapter 5 was born.

Mathematical Methods In Operations Research

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Author : Ronald L. Gue
language : en
Publisher:
Release Date : 1968

Mathematical Methods In Operations Research written by Ronald L. Gue and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Operations research categories.

Typescript (photocopy).

1989 Ieee International Symposium On Circuits And Systems

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Author :
language : en
Publisher:
Release Date : 1989

1989 Ieee International Symposium On Circuits And Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Electric filters categories.

Siam Journal On Scientific Computing

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Author :
language : en
Publisher:
Release Date : 1998

Siam Journal On Scientific Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematical statistics categories.

Difference Equations Second Edition

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Author : R Mickens
language : en
Publisher: CRC Press
Release Date : 1991-01-01

Difference Equations Second Edition written by R Mickens and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Mathematics categories.

In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.

Proceedings Of The National Electronics Conference

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Author :
language : en
Publisher:
Release Date : 1961

Proceedings Of The National Electronics Conference written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Electronics categories.

Digital Control System Design

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Author : G. H. Hostetter
language : en
Publisher: Oxford University Press, USA
Release Date : 1988

Digital Control System Design written by G. H. Hostetter and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Language Arts & Disciplines categories.

Very Good,No Highlights or Markup,all pages are intact.