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ArticleOriginal scientific text

Title

On functional differential inclusions in Hilbert spaces

Authors 1

Affiliations

  1. University Sultan My Slimane, Faculty polydisciplinary, BP 592, Mghila, Beni Mellal, Morocco

Abstract

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.

Keywords

ENG
functional differential inclusion, regularity, Clarke subdifferential

Bibliography

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2012/32/1
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Pages:
63-85
Main language of publication
English
Received
2012-06-03
Published
2012

DOI: 10.7151/dmdico1139

Exact and natural sciences