Implicit integral equations with discontinuous nonlinearities

Abstract

In this paper we establish the existence ofa t least one solution for a class of implicit integral equations with possibly discontinuous nonlinearities, which includes the well known Chandrasekhar equation, among others. Our approach fully depends on a very recent result on fixed points for increasing, not necessarily continuous, operators in ordered Banach space due to Bonanno and Marano; see Theorem 1 below.