We prove existence theorems for the integrodifferential equation , , , , where are functions with values in a Banach space and the integral is taken in the sense of HL. Additionally, the functions and satisfy certain boundary conditions expressed in terms of the measure of noncompactness.
Aneta Sikorska-Nowak. "Existence Theory for Integrodifferential Equations and Henstock-Kurzweil Integral in Banach Spaces." J. Appl. Math. 2007 1 - 12, 2007. https://doi.org/10.1155/2007/31572