# Discrete approximations, relaxation, and optimization of one-sided Lipschitzian differential inclusions in Hilbert spaces

@article{Donchev2007DiscreteAR,
title={Discrete approximations, relaxation, and optimization of one-sided Lipschitzian differential inclusions in Hilbert spaces},
author={T. Donchev and E. Farkhi and B. Mordukhovich},
journal={Journal of Differential Equations},
year={2007},
volume={243},
pages={301-328}
}
• Published 2007
• Mathematics
• Journal of Differential Equations
We study discrete approximations of nonconvex differential inclusions in Hilbert spaces and dynamic optimization/optimal control problems involving such differential inclusions and their discrete approximations. The underlying feature of the problems under consideration is a modified one-sided Lipschitz condition imposed on the right-hand side (i.e., on the velocity sets) of the differential inclusion, which is a significant improvement of the conventional Lipschitz continuity. Our main… Expand
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