An introduction to measure chain (time scale) theory with emphasis on
its usefulness in allowing for the simultaneous development of
differential equations and difference equations. Motivating the
subject is the notion that dynamic equations on measure chains can
build bridges between continuous and discrete mathematics. The study
of measure chain theory has also led to applications in the study of
insect population models, neural networks, heat transfer, epidemic
models. This book may stimulate the development of new kinds of
equations with potentially new applications. Includes examples,
exercises, solutions.
"This would be an excellent book to use in a topics course on dynamic equations on time scales at the advanced undergraduate level and/or beginning graduate level."
-Zentralblatt Math
"The monograph under review comes at an excellent time in the rapid development of dynamic equations on time scales. Both authors are authorities in this field of study and they have produced an excellent introduction to it. Much of the material is accessible to upper-level undergraduate mathematics majors, and yet, the results and the techniques are pertinent to active researchers in the area."
-Mathematical Reviews