Asymptotic Integration of Differential and Difference Equations

• Introduction, Notation, and Background.- Asymptotic Integration for Differential Systems.- Asymptotics for Solutions of Difference Systems.- Conditioning Transformations for Differential Systems.- Conditioning Transformations for Difference Systems.- Perturbations of Jordan Differential Systems.- Perturbations of Jordan Difference Systems.- Applications to Classes of Scalar Linear Differential Equations.- Applications to Classes of Scalar Linear Difference Equations.- Asymptotics for Dynamic Equations on Time Scales.

"This very readable book gives a nice presentation of the theory of asymptotic integration for both linear differential and linear difference equations ... . The book provides a very deep insight into the theory of asymptotic integrations of linear differential and difference equations. Excellently written, it has a place in the bookcase of every mathematician, engineer or student, and is also of value for non-experts interested in the rudiments and applications of this theory." (Josef Diblik, Mathematical Reviews, May, 2016) "This book is a self-contained and clearly structured presentation of important results in asymptotic integration and the techniques which are used in this field. I have really enjoyed reading it. This text appeals to (non-)experts who are interested in asymptotic behavior of solutions to differential and difference equations. It can be of interest to students in mathematics, applied sciences, and engineering. For anyone who works in asymptotic integration, this monograph is a must." (Pavel Rehak, zbMATH 1331.34001, 2016)