الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
Abstract
Qualitative study of solutions of dynamic equations on time scales and its applications have received intensive attention from mathematician’s. This thesis consists of five chapters and concerned with study solutions behavior from oscillation and nonoscillation of some dynamic equations on time scales. The obtained results not only complement those related results, but also improve some known results and introduce a new accurate oscillation criteria for some cases.
Chapter 1. This chapter contains some definitions, basic calculus, and some known results on time scales.
Chapter 2. In this chapter, we study the oscillation problem of a class of second-order half-linear neutral delay dynamic equation
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where α > 0 is a ratio of odd positive integers.
Chapter 3. In this chapter, we investigated sufficient conditions for the oscillation of the solutions of a class of second-order neutral delay dynamic equations with a nonpositive neutral term.
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where α ≥ β are ratios of odd positive integers.
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Chapter 4. In this chapter, we studied the oscillatory behavior of the solutions of a class of second-order neutral delay dynamic equations with a nonlinear nonpositive neutral term.
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where α, β and γ are ratios of odd positive integers where γ ≥ β and 0 ≤ α ≤ 1.
Chapter 5. This chapter deals with study of oscillatory behaviour of solutions of second order dynamic equation with a sub-linear neutral term.
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0 < α ≤ 1,β are ratio of odd positive integers. We obtain a new oscillation criteria. The obtained results essentially improve, complement and simplify a number of related ones in the literature. Some examples are given to illustrate our main results