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Unbounded Second-Order State-Dependent Moreau’s Sweeping Processes in Hilbert Spaces

Author

Listed:
  • Samir Adly

    (XLIM UMR-CNRS 7252, Université de Limoges)

  • Ba Khiet Le

    (Universidad de Chile)

Abstract

In this paper, an existence and uniqueness result of a class of second-order sweeping processes, with velocity in the moving set under perturbation in infinite-dimensional Hilbert spaces, is studied by using an implicit discretization scheme. It is assumed that the moving set depends on the time, the state and is possibly unbounded. The assumptions on the Lipschitz continuity and the compactness of the moving set, and the linear growth boundedness of the perturbation force are weaker than the ones used in previous papers.

Suggested Citation

  • Samir Adly & Ba Khiet Le, 2016. "Unbounded Second-Order State-Dependent Moreau’s Sweeping Processes in Hilbert Spaces," Journal of Optimization Theory and Applications, Springer, vol. 169(2), pages 407-423, May.
    • Handle: RePEc:spr:joptap:v:169:y:2016:i:2:d:10.1007_s10957-016-0905-2
    DOI: 10.1007/s10957-016-0905-2
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