ABSTRACT

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 significa

chapter 1|4 pages

Introduction

chapter 2|30 pages

Difference Equations on Groups

chapter 4|42 pages

Homogeneous Equations of Degree One

chapter 5|62 pages

Type-(k,1) Reductions

chapter 6|48 pages

Type-(1,k) Reductions

chapter 7|22 pages

Time-Dependent Form Symmetries

chapter 8|58 pages

Nonrecursive Difference Equations