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

Two-point problem for vector differential inclusions with discontinuous right-hand side

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Pages 1811-1823 | Received 18 Aug 2013, Accepted 23 Sep 2013, Published online: 18 Oct 2013
 

Abstract

Given a multifunction , we consider the two-point problemWe prove an existence theorem for solutions , where for each the multifunction can fail to be lower semicontinuous even at all points . Our result extends a previous result, valid for case where and does not depend on .

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Acknowledgement

The research of J.C. Yao was partially supported by the Grant NSC 102-2115-M-037-002-MY3.

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