We present the statement of control problems for singular distributed parabolic systems with discontinuous nonlinearties. Sufficient conditions for the existence of the optimal “control-state” pair are established under the assumption that the set of admissible “control-state” pairs is nonempty. The problem of existence of serniregular solutions is studied for the equation of state of a distributed system. It is not assumed that the nonlinearity of this equation increases sublinearly in the phase variable or possesses a bounded variation on any segment of the straight line.
Citation Example:Pavlenko V. N. Control of singular distributed parabolic systems with discontinuous nonlinearities // Ukr. Mat. Zh. - 1994. - 46, № 6. - pp. 729–736.
