Asymptotic Behavior And Stability Of Solutions Of Impulsive Functional Differential Equations

This thesis of Master is composed of three chapters, which mainly studied the asymptotic behavior and stability of solutions of impulsive functional differential equations.In chapter one, by using the Liapunov functional, we study the asymptotic behavior of a nonlinear neutral differential equations with impulsesand some sufficient conditions are established for every solution of it tends to a constant or zero as t →∞. Our main results improves and generalizes the some known results.Chapter two mainly considers the asymptotic behavior of a nonlinear impulsive neutral differential equations with piecewise constant deviating argumentsSome sufficient conditions will be given for every nontrivial solution of it tends to ±∞ or zero as t →∞.In the last chapter, the stability of a nth-order linear impulsive delay differential equationsis studied and the result the stability of it is equal to that of the corresponding delay differential equations without impulses is obtained.