Form Symmetries and Reduction of Order in Difference Equations

Author:   Hassan Sedaghat (Virginia Commonwealth University, USA)
Publisher:   Taylor & Francis Ltd
ISBN:  

9781138374126


Pages:   325
Publication Date:   30 June 2020
Format:   Paperback
Availability:   In Print   Availability explained
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Form Symmetries and Reduction of Order in Difference Equations


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Overview

Form Symmetries and Reduction of Order in Difference Equations presents a new approach to the formulation and analysis of difference equations in which the underlying space is typically an algebraic group. In some problems and applications, an additional algebraic or topological structure is assumed in order to define equations and obtain significant results about them. Reflecting the author’s past research experience, the majority of examples involve equations in finite dimensional Euclidean spaces. The book first introduces difference equations on groups, building a foundation for later chapters and illustrating the wide variety of possible formulations and interpretations of difference equations that occur in concrete contexts. The author then proposes a systematic method of decomposition for recursive difference equations that uses a semiconjugate relation between maps. Focusing on large classes of difference equations, he shows how to find the semiconjugate relations and accompanying factorizations of two difference equations with strictly lower orders. The final chapter goes beyond semiconjugacy by extending the fundamental ideas based on form symmetries to nonrecursive difference equations. With numerous examples and exercises, this book is an ideal introduction to an exciting new domain in the area of difference equations. It takes a fresh and all-inclusive look at difference equations and develops a systematic procedure for examining how these equations are constructed and solved.

Full Product Details

Author:   Hassan Sedaghat (Virginia Commonwealth University, USA)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.453kg
ISBN:  

9781138374126


ISBN 10:   1138374121
Pages:   325
Publication Date:   30 June 2020
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction. Difference Equations on Groups. Semiconjugate Factorization and Reduction of Order. Homogeneous Equations of Degree One. Type-(k,1) Reductions. Type-(1,k) Reductions. Time-Dependent Form Symmetries. Nonrecursive Difference Equations. Appendix. References. Index.

Reviews

This book presents a new approach to the formulation and study of difference equations. … The book is well organized. It is addressed to a broad audience in difference equations. —Vladimir Sh. Burd, Mathematical Reviews, 2012e


This book presents a new approach to the formulation and study of difference equations. ... The book is well organized. It is addressed to a broad audience in difference equations. -Vladimir Sh. Burd, Mathematical Reviews, 2012e


Author Information

Hassan Sedaghat is a professor of mathematics at Virginia Commonwealth University. His research interests include difference equations and discrete dynamical systems and their applications in mathematics, economics, biology, and medicine.

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