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Control of singular distributed parabolic systems with discontinuous nonlinearities

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Abstract

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.

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Authors
  1. V. N. Pavlenko
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Additional information

Chelyabinsk University, Chelyabinsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 6, pp. 729–736, June, 1994.

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Pavlenko, V.N. Control of singular distributed parabolic systems with discontinuous nonlinearities. Ukr Math J 46, 790–798 (1994). https://doi.org/10.1007/BF02658180

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  • DOI: https://doi.org/10.1007/BF02658180

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