Adrian Petruşel
Babeş-Bolyai University, Cluj-Napoca, Romania

Several notions of abstract Volterra operators on spaces of functions of one variable are well known. In this paper, we propose a notion of abstract Volterra operator in spaces of functions of several variables. Some fixed point equations with such abstract Volterra operators are studied and an application to a Darboux-Ionescu problem is given. The talk is based on a recent joint work with I.A. Rus.