ArticleOriginal scientific text
Title
Lower semicontinuous differential inclusions. One-sided Lipschitz approach
Authors 1
Affiliations
- Department of Mathematics, University of Mining and Geology, 1100 Sofia, Bulgaria
Abstract
Some properties of differential inclusions with lower semicontinuous right-hand side are considered. Our essential assumption is the one-sided Lipschitz condition introduced in [4]. Using the main idea of [10], we extend the well known relaxation theorem, stating that the solution set of the original problem is dense in the solution set of the relaxed one, under assumptions essentially weaker than those in the literature. Applications in optimal control are given.
Bibliography
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Pages:
177-184
Main language of publication
English
Received
1996-08-07
Published
1998
Exact and natural sciences