Abstract
In this paper, we study the existence of solutions of
the abstract measure differential equations by using the
Leray-Schauder’s nonlinear alternative and distributional Henstock-Kurzweil
integral. The distributional Henstock-Kurzweil integral is very general and it
includes the Lebesgue integral and Henstock-Kurzweil integral. The main result of the paper extends some previously known results in the
literature.