Paratore, Andrea, 1991-

Boundary-value problems with possibly discontinuous nonlinearities : a fixed point approach / Andrea Paratore ; relatore: S.A. Marano ; controrelatore: G. Bonanno. - Catania : Scuola Superiore di Catania, 2016. - 52 p. ; 25 cm.

Tesi di diploma di 2° livello per la Classe delle Scienze Sperimentali

Includes bibliographical references (p. 50-52).

Introduction -- Some fixed point theorems -- Schauder's theorem applications -- Boundary-value problems with discontinuous nonlinearities -- References.

Tesi discussa il 06/12/2016.

Our aim is to study some classes of boundary-value problems via Tychonov's like fixed-point results. To do this, we state both classical fixed-point theorems and a simple but meaningful generalization obtained by O. Arino, S. Gautier, J.P. Penot, in 1984. Moreover, a version of the Schauder's theorem for discontinuous operators is reported, a recent result by R. López Pouso (2012).

Boundary value problems.
Differential equations, Partial.