Federico Cafiero

Federico Cafiero was an Italian mathematician known for his contributions in real analysis, measure and integration theory, and in the theory of ordinary differential equations. In particular, generalizing the Vitali convergence theorem, the Fichera convergence theorem and previous results of Vladimir Mikhailovich Dubrovskii, he proved a necessary and sufficient condition for the passage to the limit under the sign of integral this result is, in some sense, definitive. In the field of ordinary differential equation, he studied existence and uniqueness problems under very general hypotheses for the left member of the given first order equation, developing an important approximation method and proving a fundamental uniqueness theorem.

Cafiero was born in Riposto, Province of Catania, on May 24, 1914. He obtained his Laurea in mathematics, cum laude, from the University of Naples Federico II in 1939. During the 19391940 academic year, he won an Istituto Nazionale di Alta Matematica scholarship and went in Rome to the institute there he followed the courses held by Francesco Severi, Mauro Picone, Luigi Fantappi, Giulio Krall and Leonida Tonelli.

Source: Wikipedia