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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 9, Pages 81–86 (Mi ivm8832)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

An optimal control problem for a nonlinear elliptic equation with a phase constraint and state variation

S. Ya. Serovaiskii

Chair of the Differential Equations and the Control Theory, al-Farabi Kazakh National University, 71 al-Farabi str., Almaty, 050078 Republic of Kazakhstan
Full-text PDF (163 kB) Citations (2)
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Abstract: We study an optimal control problem for a system described by a nonlinear elliptic equation with a state constraint in the form of an inclusion. We prove the solvability of the problem under consideration and by varying the state of the system obtain necessary optimality conditions.
Keywords: optimization, nonlinear elliptic equation, phase constraint, state variation.
Presented by the member of Editorial Board: V. A. Srochko
Received: 31.12.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 9, Pages 67–70
DOI: https://doi.org/10.3103/S1066369X13090119
Bibliographic databases:
Document Type: Article
UDC: 571.977
Language: Russian
Citation: S. Ya. Serovaiskii, “An optimal control problem for a nonlinear elliptic equation with a phase constraint and state variation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 9, 81–86; Russian Math. (Iz. VUZ), 57:9 (2013), 67–70
Citation in format AMSBIB
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\by S.~Ya.~Serovaiskii
\paper An optimal control problem for a~nonlinear elliptic equation with a~phase constraint and state variation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 9
\pages 81--86
\mathnet{http://mi.mathnet.ru/ivm8832}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 9
\pages 67--70
\crossref{https://doi.org/10.3103/S1066369X13090119}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894155126}
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  • https://www.mathnet.ru/eng/ivm/y2013/i9/p81
    • This publication is cited in the following 2 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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    Full-text PDF :58
    References:37
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