A boundary value problem of the form is considered where is a Carathéodory function and is a suitable boundary constraint. A related integral equation with an exact number of solutions is studied, in order to show the existence of solutions of the boundary value problem through a fixed point theorem for -maps in the Darbo sense.
Cite this article
G. Anichini, Giuseppe Conti, About the Existence of Solutions of a Boundary Value Problem for a Carathéodory Differential System. Z. Anal. Anwend. 16 (1997), no. 3, pp. 621–630