الفهرس 
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Abstract
In this thesis, we concern with the oscillation of the second order nonlinear dynamic systems with damping, delay dynamic equations with damping and neutral delay dynamic equations.
The study of dynamic equations on time scales has been created in order to unify the study of di¤erential and di¤erence equations. The general idea is to prove characteristics for a dynamic equation where the domain of the unknown function is so-called time scale, which may be an arbitrary nonempty closed subset of the reals. In this thesis, we employ the Riccati transformation technique.
The thesis is divided into four chapters.
Chapter 1 is an introduction contains some basic de…nitions and important theorems which will be used throughout the thesis.
In chapter 2 we study the oscillation of the nonlinear dynamic system on time scale T. Firstly, when all coefficients are nonnegative. Secondly, when T satis…es condition (C). Also, we gave some the previous results which obtained by the authors from before which is considered as special cases of our results. Some of these results will be illustrated by some examples.
Chapter 3 is devoted to study the oscillation of the nonlinear second-order delay dynamic equation on aribtrary time scale T. Also, we present the previous results of other authors as special cases from the given dynamic equation. Some of our results are illustrated using examples.
Finally in chapter 4 we discuss the oscillation of the nonlinear second-order neu¬tral delay dynamic equations.
Also, we improve and generalize previous results which are obtained by other authors and are considered as special cases from the given dynamic equations. Some of our results are illustrated by examples. We compare our results that obtained in this thesis with some earlier results.