2019
Том 71
№ 11

All Issues

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

Vityuk A. N.

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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.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 4, pp 617-621.

Citation Example: Vityuk A. N. On solutions of hyperbolic differential inclusions with nonconvex right-hand side // Ukr. Mat. Zh. - 1995. - 47, № 4. - pp. 531–534.

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