Variational Stability For The Retarded Measure Functional Differential System

In this paper,By using the stability theory for generalized ordinary differential equation and the retarded measure functional differential equation is equivalent to the generalized ordinary differential equation under certain conditions,variation?al stability and variational-asymptotically stability theorems are obtained for the measure functional differential equationy(t)=y(t0)+?t0t f(ys,s)dg(s),t?[t0,+?),and the perturbed measure functional differential equationy(t)=y(t0)+?t0t f(ys,s)dg(s)+?t0t p(s)du(s),t?[t0,+?),the measure functional differential equation with impulses(?)and the perturbed measure functional differential equation with impulses(?)...