Open AccessNonlocal problems in Hilbert spaces
Author(s) -
Irene Benedetti,
Luisa Malaguti,
Valentina Taddei
Publication year - 2015
Language(s) - English
Resource type - Conference proceedings
DOI - 10.3934/proc.2015.0103
Subject(s) - hilbert space , computer science , mathematics , pure mathematics
An existence result for differential inclusions in a separable Hilbert space is furnished. A wide family of nonlocal boundary value problems is treated, including periodic, anti-periodic, mean value and multipoint conditions. The study is based on an approximation solvability method. Advanced topological methods are used as well as a Scorza Dragoni-type result for multivalued maps. The conclusions are original also in the single-valued setting. An application to a nonlocal dispersal model is given