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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 9
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Articles

Existence of solutions for a class of nonconvex differential inclusions

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Pages 1979-1988 | Received 31 May 2013, Accepted 31 Oct 2013, Published online: 17 Dec 2013
 

Abstract

We prove the existence of solutions to the functional differential inclusion of the form where is a Carathéodory function and an upper semicontinuous multifunction with compact values in a Hilbert space such that , with a regular locally Lipschitz function and a linear operator, and .

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