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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 5, Pages 1119–1148
DOI: https://doi.org/10.1070/IM1977v011n05ABEH001762 (Mi im1924) 		 
Some optimal problems in reactor kinetics

Yu. A. Kuznetsov, S. F. Morozov
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DOI: https://doi.org/10.1070/IM1977v011n05ABEH001762
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.
Received: 14.02.1973
Revised: 14.04.1976
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 5, Pages 1170–1198
Bibliographic databases:
UDC: 517.946
MSC: 82A75, 49A30, 45K05
Language: English
Original paper language: Russian
Citation: Yu. A. Kuznetsov, S. F. Morozov, “Some optimal problems in reactor kinetics”, Izv. Akad. Nauk SSSR Ser. Mat., 41:5 (1977), 1170–1198; Math. USSR-Izv., 11:5 (1977), 1119–1148
Citation in format AMSBIB
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\by Yu.~A.~Kuznetsov, S.~F.~Morozov
\paper Some optimal problems in reactor kinetics
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 5
\pages 1170--1198
\mathnet{http://mi.mathnet.ru/im1924}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=471829}
\zmath{https://zbmath.org/?q=an:0362.49018|0391.49009}
\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 5
\pages 1119--1148
\crossref{https://doi.org/10.1070/IM1977v011n05ABEH001762}
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    • This publication is cited in the following 1 articles:
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:514
    Russian version PDF:157
    English version PDF:18
    References:89
    First page:3
     
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