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

Yuri E. Gliklikh and Andrei V. Obukhovskiĭ

Abstract and Applied Analysis, 2003, vol. 2003, issue 10, 591-600

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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https://doi.org/10.1155/S1085337503209027

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:10:p:591-600

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