Study On The Boundary Value Problems And Correctness For A System Of Generalized Ordinary Differential Equations

Throughout this paper, firstly, the existence and uniqueness of solutions for a system of generalized ordinary differential equations with boundary value problems of the following type are studied And the necessary and sufficient conditions for the existence and the uniqueness of solutions are presented.Then, the correctness of a system of generalized ordinary differential equations with boundary value problems of the following type is studied and the sufficient conditions for the correctness of this system are presented.Further, this paper studied a method to give the estimate of Kurzweil integral by using a kind of real valued functional integral and this method can be used to estimate the solutions, whose expressions contain Kurzweil integrals, of generalized ordinary differential equations.