This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations. It discusses functional dynamic equations in relation to mathematical physics applications and problems, providing useful tools for investigation for oscillations and nonoscillations of the solutions of functional dynamic equations on time scales. Practice problems are presented throughout the book for use as a graduate-level textbook and as a reference book for specialists of several disciplines, such as mathematics, physics, engineering, and biology.

"This is a complete and interesting book concerning functional dynamic equations on time scales. This book has 15 chapters and 5 appendixes, there are almost 900 pages with a precious content of the theory of time scales ... . This book will be very useful for all mathematicians that work with theory of time scales ... . Also, it can be used as a reference in courses of graduate level." (Jaqueline Godoy Mesquita, zbMATH 1510.34001, 2023)