الفهرس 
AcknowledgmentOnly 14 pages are availabe for public view
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Abstract
The main objective of the thesis is to study oscillation and distribution of zeros of solutions of first order delay dynamic equations on time scales and comparison of results: The thesis is organized as follows Chapter 1. In this chapter, which is an introductory chapter, we present some preliminaries, definitions and basic concepts of time scale calculus. Additionally, we will present some results for the oscillation and distribution of zeros of solutions of first order delay differential and difference equations.Chapter 2. In this chapter, we are concerned with oscillation of solutions of the first order delay dynamic equation with a single delay and with several delays on a time scale T. The results not only contain some well-known criteria for delay differential equations and delay difference equations as special cases but also improve some results obtained on time scales. The main results are obtained by making use of a new algebraic inequality and the analysis of the characteristic inequality.Chapter 3. In this chapter, we consider the first order delay dynamic equation on a time scale T, and study the distribution of consecutive zeros of solutions. The results are obtained by using new iterative sequences.