Form Symmetries and Reduction of Order in Difference Equations

ISBN-13: 9781138374126 / Angielski / Miękka / 2020 / 325 str.

Hassan Sedaghat

Opis

With numerous examples and exercises, this book presents a new approach to the formulation and analysis of difference equations in which the underlying space is typically an algebraic group. It uses form symmetries to define semiconjugate factorizations of recursive higher order difference equations and general nonrecursive higher order difference equations. 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.

Recenzje

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

Spis treści

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.

O autorze

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.