Geodesic
On differential inclusions of velocity hodograph type with Carathéodory conditions on Riemannian manifolds
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 24 (2004) no. 1, pp. 41-48.

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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 
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Gliklikh, Yuri; Obukhovski, Andrei. On differential inclusions of velocity hodograph type with Carathéodory conditions on Riemannian manifolds. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 24 (2004) no. 1, pp. 41-48. http://geodesic.mathdoc.fr/item/DMDICO_2004_24_1_a3/

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