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Differential inclusions with unbounded right-hand side and necessary optimality conditions

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Abstract

We study the properties of the trajectories of a differential inclusion with unbounded measurable–pseudo-Lipschitz right-hand side that takes values in a separable Banach space and consider the problem of minimizing a functional over the set of trajectories of such a differential inclusion on an interval. We obtain necessary optimality conditions in the form of Euler–Lagrange differential inclusions for a problem with free right end.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, State University, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    E. S. Polovinkin

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  1. E. S. Polovinkin
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Correspondence to E. S. Polovinkin.

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Original Russian Text © E.S. Polovinkin, 2015, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Vol. 291, pp. 249–265.

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Polovinkin, E.S. Differential inclusions with unbounded right-hand side and necessary optimality conditions. Proc. Steklov Inst. Math. 291, 237–252 (2015). https://doi.org/10.1134/S0081543815080192

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  • DOI: https://doi.org/10.1134/S0081543815080192

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