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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1977 Volume 41, Issue 5, Pages 1170–1198 (Mi im1924)

Some optimal problems in reactor kinetics

Yu. A. Kuznetsov, S. F. Morozov


Abstract: In this paper the authors present a method of studying distributed parameter optimal problems in the theory of nuclear reactors, connected with an integro-differential system of equations for reactor kinetics. Two basic nonstationary optimal problems are considered: a problem with fixed control time and a time-optimal problem. For both problems necessary conditions are derived for optimality of admissible control elements.
Bibliography: 27 titles.

UDC: 517.946

MSC: 82A75, 49A30, 45K05

Received: 14.02.1973
Revised: 14.04.1976


 English version:
Mathematics of the USSR-Izvestiya, 1977, 11:5, 1119–1148

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© Steklov Math. Inst. of RAS, 2024