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On solutions of hyperbolic differential inclusions with nonconvex right-hand side

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Abstract

The existence of a generalized solution with continuous derivativesu x ,u y is proved for the differential inclusionu xy ∈F(x, y, u) with a nonconvex right-hand side satisfying the Lipschitz conditioninx, y, andu.

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Authors and Affiliations

  1. Odessa University, Odessa

    A. N. Vityuk

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  1. A. N. Vityuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 531–534, April, 1995.

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Vityuk, A.N. On solutions of hyperbolic differential inclusions with nonconvex right-hand side. Ukr Math J 47, 617–621 (1995). https://doi.org/10.1007/BF01056048

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  • DOI: https://doi.org/10.1007/BF01056048

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