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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1051,
author = {Yuri E. Gliklikh and Andrei V. Obukhovski},
title = {On differential inclusions of velocity hodograph type with Carath\'eodory conditions on Riemannian manifolds},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {24},
year = {2004},
pages = {41-48},
zbl = {1077.58004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1051}
}
Yuri E. Gliklikh; Andrei V. Obukhovski. On differential inclusions of velocity hodograph type with Carathéodory conditions on Riemannian manifolds. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 24 (2004) pp. 41-48. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1051/
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