# American Institute of Mathematical Sciences

2015, 2015(special): 103-111. doi: 10.3934/proc.2015.0103

## Nonlocal problems in Hilbert spaces

 1 Department of Mathematics and Informatics, University of Perugia, Italy 2 Dept. of Engineering Sciences and Methods, University of Modena and Reggio Emilia, I-42100 3 Department of Physics, Informatics and Mathematics, University of Modena and Reggio Emilia, Italy

Received  September 2014 Revised  January 2015 Published  November 2015

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.
Citation: Irene Benedetti, Luisa Malaguti, Valentina Taddei. Nonlocal problems in Hilbert spaces. Conference Publications, 2015, 2015 (special) : 103-111. doi: 10.3934/proc.2015.0103
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