The study of dynamic equations on time scales, which goes back to its
founder Stefan Hilger is an area of mathematics and has been created in
order to unify the study of differential and difference equations. The
oscillation theory as a part of the qualitative theory of dynamic
equations on time scales has been developed rapidly in the past ten
years. The extensive application prospect facilitates the development of
this field. In fact there are some applications of dynamic equations in
population dynamics, quantum mechanics, electrical engineering, neural
networks, heat transfer, and combinatorics. The book tends to center
around the relevant oscillation theory of second and third order dynamic
equations and second order neutral dynamic equations on time scales. It
is a text book giving detailed proofs and illustrative examples, which
is intended for both self-study and a course for graduate levels. It is
believed to be the first book dedicated to the oscillation of dynamic
equations on time scales.