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Differential inclusions with measurable-pseudo-Lipschitz right-hand side

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Abstract

We obtain existence theorems and Filippov-Ważewski type relaxation theorems for differential inclusions in Banach spaces with measurable-pseudo-Lipschitz right-hand side. For the solution sets of these differential inclusions, we also describe some properties that extend classical theorems on continuous dependence and on differentiation of solutions with respect to initial data.

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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, 2013, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Vol. 283, pp. 121–141.

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Polovinkin, E.S. Differential inclusions with measurable-pseudo-Lipschitz right-hand side. Proc. Steklov Inst. Math. 283, 116–135 (2013). https://doi.org/10.1134/S0081543813080099

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