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Extremal problems for discrete and differential inclusions of hyperbolic type with distributed parameters

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Abstract

For the first time, necessary and sufficient conditions for an extremum are proved for the first mixed problem for discrete and differential inclusions of hyperbolic type. Some of the results are generalized to the multidimensional case of a second order elliptic operator in bounded cylindrical domains.

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Authors and Affiliations

  1. Cybernetics Institute of the Azerbaidzhan SSR Academy of Sciences, Baku

    É. N. Makhmudov

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  1. É. N. Makhmudov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 12, pp. 1641–1649, December, 1990.

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Makhmudov, É.N. Extremal problems for discrete and differential inclusions of hyperbolic type with distributed parameters. Ukr Math J 42, 1476–1483 (1990). https://doi.org/10.1007/BF01060818

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  • DOI: https://doi.org/10.1007/BF01060818

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