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Existence of solutions of a class of multivalued partial differential equations

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Abstract

Conditions are given for the existence of solutions and the compactness of the set of solutions of the Darboux problem for the differential inclusion

$$u_{xy} \in F(x,y,u_x ,u_y ,u_{xy} ),$$

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Authors and Affiliations

  1. Odessa University, USSR

    A. N. Vityuk

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  1. A. N. Vityuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 11, pp. 1454–1460, November, 1990.

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Vityuk, A.N. Existence of solutions of a class of multivalued partial differential equations. Ukr Math J 42, 1295–1301 (1990). https://doi.org/10.1007/BF01066183

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  • DOI: https://doi.org/10.1007/BF01066183

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