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Bulletin of Irkutsk State University. Series Mathematics, 2016, Volume 15, Pages 50–61 (Mi iigum252)  

This article is cited in 4 scientific papers (total in 4 papers)

Optimality conditions in the problem of thermal control with integral-differential equation

A. Kerimbekov, R. J. Nametkulova, A. K. Kadirimbetova

Kyrgyz-Russian Slavic University, 6, av. Chuy, Bishkek, 720000
Full-text PDF (251 kB) Citations (4)
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Abstract: The optimal control problem for thermal process described by Fredholm integral-differential equation is considered. The definition of the weak generalized solution of the boundary problem is given. The algorithm of its construction is presented. It was found that the optimal control should be found as the solution of nonlinear integral equations with additional conditions in the form of differential inequalities with respect to the source functions.
Keywords: a boundary value problem, weak generalized solution, functional, the maximum principle, the optimal control.
Document Type: Article
UDC: 517.97
MSC: 49J21
Language: Russian
Citation: A. Kerimbekov, R. J. Nametkulova, A. K. Kadirimbetova, “Optimality conditions in the problem of thermal control with integral-differential equation”, Bulletin of Irkutsk State University. Series Mathematics, 15 (2016), 50–61
Citation in format AMSBIB
\Bibitem{KerNamKad16}
\by A.~Kerimbekov, R.~J.~Nametkulova, A.~K.~Kadirimbetova
\paper Optimality conditions in the problem of thermal control with integral-differential equation
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2016
\vol 15
\pages 50--61
\mathnet{http://mi.mathnet.ru/iigum252}
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  • https://www.mathnet.ru/eng/iigum/v15/p50
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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