Nonlocal problems in Hilbert spaces | Zendy

Valentina Taddei | Zendy; Luisa Malaguti | Zendy; Irene Benedetti | Zendy

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Nonlocal problems in Hilbert spaces

Author(s) -

Valentina Taddei,

Luisa Malaguti,

Irene Benedetti

Publication year - 2015

Language(s) - English

Resource type - Conference proceedings

DOI - 10.3934/proc.2015.0103

Subject(s) - hilbert space , separable space , mathematics , boundary value problem , value (mathematics) , space (punctuation) , periodic boundary conditions , differential (mechanical device) , type (biology) , mathematical analysis , pure mathematics , computer science , physics , statistics , ecology , biology , thermodynamics , operating system

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

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