ArticleOriginal scientific text
Title
On differential inclusions of velocity hodograph type with Carathéodory conditions on Riemannian manifolds
Authors 1, 1
Affiliations
- Faculty of Mathematics, Voronezh State University, Universitetskaya pl., 1, 394006, Voronezh, Russia
Abstract
We investigate velocity hodograph inclusions for the case of right-hand sides satisfying upper Carathéodory conditions. As an application we obtain an existence theorem for a boundary value problem for second-order differential inclusions on complete Riemannian manifolds with Carathéodory right-hand sides.
Keywords
differential inclusions, Carathéodory conditions, velocity hodograph, Riemannian manifold, two-point bounadry value problem
Bibliography
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Pages:
41-48
Main language of publication
English
Received
2004-04-15
Published
2004
DOI: 10.7151/dmgt.1051
Exact and natural sciences