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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 12, Pages 74–79 (Mi ivm6027)  

This article is cited in 6 scientific papers (total in 6 papers)

Brief communications

Optimal problems for parabolic-type systems with aspheric sets of admissible controls

E. S. Baranovskii

Chair of Algebra and Topological Methods of Analysis, Voronezh State University, Voronezh, Rissia
Full-text PDF (182 kB) Citations (6)
References:
Abstract: We consider an optimization problem for one class of parabolic systems with aspheric sets of admissible controls and establish an existence theorem for its optimal solution. We apply the obtained results to the study of one mathematical heat-exchange model.
Keywords: optimal control, parabolic systems, topological degree, aspheric set.
Received: 27.04.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 12, Pages 63–67
DOI: https://doi.org/10.3103/S1066369X09120093
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: E. S. Baranovskii, “Optimal problems for parabolic-type systems with aspheric sets of admissible controls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 12, 74–79; Russian Math. (Iz. VUZ), 53:12 (2009), 63–67
Citation in format AMSBIB
\Bibitem{Bar09}
\by E.~S.~Baranovskii
\paper Optimal problems for parabolic-type systems with aspheric sets of admissible controls
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 12
\pages 74--79
\mathnet{http://mi.mathnet.ru/ivm6027}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664475}
\zmath{https://zbmath.org/?q=an:1180.35292}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 12
\pages 63--67
\crossref{https://doi.org/10.3103/S1066369X09120093}
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  • https://www.mathnet.ru/eng/ivm/y2009/i12/p74
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:573
    Full-text PDF :268
    References:70
    First page:6
     
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