Continuous Dependence And Differentiability On A Parameter For A Class Of Measure Functional Differential System Solutions

In this paper,By virtue of the retarded measure functional differential equation is equivalent to the generalized ordinary differential equation under certain condi-tions,it is transformed into generalized ordinary differential equation and used the theories of Kurzweil-Henstock integral and the continuous dependence of solution of generalized ordinary differential equation on parameters,the continuous dependence of solution on parameters theorem are obtained for the retarded measure functional differential equation y(t)=y(t0)+∫t0tf(ys,s)dv(s),t∈[t0+∞),and the perturbed measure functional differential equation y(t)=y(t0)+∫t0tf(ys,s)dv(s)+∫t0tp(s)dm(s),t∈[t0+∞),Moreover,by using the differentiability of solutions with respect to parameters for generalized ordinary differential equations,we study the differentiability of solu-tions with respect to parameters for measure functional differential equations with impulses as follows y(t)=y(t0)+∫t0tf(ys,s)dv(s)+(?)Ik(x(tk)),t∈[t0,+∞).