An existence theorem for differential inclusions in Hilbert spaces with nonlocal conditions is proved. Periodic, anti-periodic, mean value and multipoint conditions are included in this study. The investigation is based on a combination of the approximation solvability method with Hartman-type inequalities. A feedback control problem associated to a first order partial differential equation completes this discussion.
Nonlocal Problems for Differential Inclusions in Hilbert Spaces / Irene, Benedetti; Nguyen Van, Loi; Malaguti, Luisa. - In: SET-VALUED AND VARIATIONAL ANALYSIS. - ISSN 1877-0533. - STAMPA. - 22:(2014), pp. 639-656. [10.1007/s11228-014-0280-9]
Nonlocal Problems for Differential Inclusions in Hilbert Spaces
MALAGUTI, Luisa
2014
Abstract
An existence theorem for differential inclusions in Hilbert spaces with nonlocal conditions is proved. Periodic, anti-periodic, mean value and multipoint conditions are included in this study. The investigation is based on a combination of the approximation solvability method with Hartman-type inequalities. A feedback control problem associated to a first order partial differential equation completes this discussion.
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