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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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