On Stability Of Differential Equation With Delay

In this paper, I mainly gain stability and asymptotic behavior of a different equation , a differential equation ,and a netrual integral-differential equation. In chapter 1, I mainly diacussI gain the asymptotic behavior of solution of this different equation when has different range: when 1 < a < 2 ,we gain the sufficent condition of attractivity of different equation's solution, and when a = ∞,we gain gain the sufficent condition of asymptotic stability of different equation's solution.In chapter 2, I doscuss the asymptotic behavior of differnial function with several delays- — the model for the Survival of the Red Blood ceels with Several Delaysand differential function with varing delayN(t) = -μN(t)+f(t-σ(t)), t≥0.In chapter 3, by using Liapunov function I discuss uniform stability and asymptotic behavior of a netrual integral-differential functionft{x{t) - x{t - t))' = Ax(t) + / C[t, s)x(s)ds + F(s).Jo...