On functional differential inclusions in Hilbert spaces
Myelkebir Aitalioubrahim
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 32 (2012), p. 63-85 / Harvested from The Polish Digital Mathematics Library
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We prove the existence of monotone solutions, of the functional differential inclusion ẋ(t) ∈ f(t,T(t)x) +F(T(t)x) in a Hilbert space, where f is a Carathéodory single-valued mapping and F is an upper semicontinuous set-valued mapping with compact values contained in the Clarke subdifferential ∂cV(x) of a uniformly regular function V.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:270498 
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Myelkebir Aitalioubrahim. On functional differential inclusions in Hilbert spaces. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 32 (2012) pp. 63-85. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1139/

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