Control of singular distributed parabolic systems with discontinuous nonlinearities
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.
English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 6, pp 790-798.
Citation Example: Pavlenko V. N. Control of singular distributed parabolic systems with discontinuous nonlinearities // Ukr. Mat. Zh. - 1994. - 46, № 6. - pp. 729–736.