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

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