This book presents the theory of asymptotic integration for both linear differential and
difference equations. This type of asymptotic analysis is based on some fundamental principles
by Norman Levinson. While he applied them to a special class of differential equations
subsequent work has shown that the same principles lead to asymptotic results for much wider
classes of differential and also difference equations. After discussing asymptotic integration
in a unified approach this book studies how the application of these methods provides several
new insights and frequent improvements to results found in earlier literature. It then
continues with a brief introduction to the relatively new field of asymptotic integration for
dynamic equations on time scales. Asymptotic Integration of Differential and Difference
Equations is a self-contained and clearly structured presentation of some of the most important
results in asymptotic integration and the techniques used in this field. It will appeal to
researchers in asymptotic integration as well to non-experts who are interested in the
asymptotic analysis of linear differential and difference equations. It will additionally be of
interest to students in mathematics applied sciences and engineering. Linear algebra and some
basic concepts from advanced calculus are prerequisites.
