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

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  • Yuri E. Gliklikh
  • Andrei V. Obukhovskii

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.

Suggested Citation

  • Yuri E. Gliklikh & Andrei V. Obukhovskii, 2003. "On a two-point boundary value problem for second-order differential inclusions on Riemannian manifolds," Abstract and Applied Analysis, Hindawi, vol. 2003, pages 1-10, January.
    • Handle: RePEc:hin:jnlaaa:861842
    DOI: 10.1155/S1085337503209027
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