On a two-point boundary value problem for second-order differential inclusions on Riemannian manifolds

Yuri E. Gliklikh and Andrei V. Obukhovskii

Abstract and Applied Analysis, 2003, vol. 2003, 1-10

Abstract:

We consider second-order differential inclusions on a Riemannian manifold with lower semicontinuous right-hand sides. Several existence theorems for solutions of two-point boundary value problem are proved to be interpreted as controllability of special mechanical systems with control on nonlinear configuration spaces. As an application, a statement of controllability under extreme values of controlling force is obtained.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:861842

DOI: 10.1155/S1085337503209027

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