we study impulsive stabilization of third-order delay differential system as followsand the stability of impulsive functional differential system with p-delay as follows Impulsive effects exist in many evolution processes in which states are changed abruptly at certain moments of time.

The analytical conditions that the fractional-order differential systems remain chaotic are obtained by analyzing the stability of the fixed points of the systems.

We give sufficient conditions for the existence of at least one solution of the second order differential system-x″(t)=f(t,x) with boundary value conditions x(0)=0,x′(1)=0 and x(0)=A,x(1)=B by the method of the lower and upper solutions.

A study on root-locus of third order systems was conducted by polar root-locus equation, come to a conclusion that basic root-locus graphs of third order system are hyperbolas, and a discuss of every concrete thing was conducted.