Boundedness And Stability Of Solutions For Measure Functional Differential Equations With Infinite Delay

In this paper,by using the theories of GODEs and the correspondence be-tween measure functional differential equations with infinite delay and GODEs,the uniformly bounded and uniformly ultimately bounded concepts for the following measure functional differential equations with infinite delay are defined,Dy = f(yt,t)Dg also,the uniformly bounded and uniformly ultimately bounded theorems for measure functional differential equations with infinite delay are established,Moreover,we de-fine the variational stability and variational asymptotic stability for above measure functional differential equations with infinite delay and obtain the variational sta-bility and variational asymptotic stability theorems.