Form Symmetries and Reduction of Order in Difference Equations pdf
Form Symmetries and Reduction of Order in Difference Equations pdf : Pages 325
By Hassan Sedaghat
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.