Categories Bid For Delay Dynamic Equations Of The Global Asymptotic Study

In this thesis, the global asymptotic property of delay dynamic equations and delay dynamic equations with a forcing term on time scales is studied. The research is divided into three chapters.In chapter one, we briefly introduce the back-ground and the main work of this paper.In chapter two, we study the global asymptotic behavior of a delay dynamic equation with a forcing termby Lyapunov method.These results extend the results in the literature.In chapter three, a first-order nonlinear variable-delay dynamic equation on time scalesis studied and the relaxed (?)-conditions are obtained for asymptotic stability by using Yorke condition.These results improve and extend the results in the literature.