Differentiability Of Solutions On Initial Conditions For Retarded Functional Differential Equations And Boundedness Of Solutions For Retarded Measure Functional Differential Equations

In this paper,by means of the equivalent relationship between the retarded functional differential equations and the generalized ODEs under certain conditions,combining Kurzweil integral and the differentiability of solutions with respect to initial conditions for generalized ODEs,the differentiability of solutions with respect to initial conditions are obtained for retarded functional differential equations(?)Moreover,we study the boundedness of solutions for retarded measure func-tional differential equations Dy=f(yt,t)Dg,t ?[t0,+?)and the perturbed measure functional differential equations Dy=f(yt,t)Dg+p(t)Du,t ?[t0,+?)by using the boundedness of solutions of generalized ODEs.