This book is devoted to the qualitative theory of boundary value problems on time scales. It summarizes the most recent contributions in this area. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines.

The book contains two volumes. This Volume I presents boundary value problems for first and second order dynamic equations on time scales and is published by the same publisher. Volume II investigates boundary value problems for three, four and higher order dynamic equations on time scales. It is published by the same publisher.

Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time scale calculus can be applied to any fields in which dynamic processes are described by discrete or continuous time models. T

The calculus of time scales has various applications involving non continuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics and traffic problems. Boundary value problems on time scales has been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution.

The text material of this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques.