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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 2, Pages 52–67 (Mi vuu216)  
This article is cited in 6 scientific papers (total in 6 papers)

MATHEMATICS

The maximum principle for terminal optimization problem connected with Goursat–Darboux system in the class of functions having summable mixed derivatives

I. V. Lisachenkoa, V. I. Suminb

a Nizhni Novgorod State Technical University, Nizhni Novgorod, Russia
b N. I. Lobachevski State University of Nizhni Novgorod, Faculty of Mechanics and Mathematics, Nizhni Novgorod, Russia
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Abstract: The maximum principle in the terminal optimization problem for general nonlinear Goursat–Darboux system is proved. The right part of differential equation is Caratheodory function. We consider the case when a mixed derivative of system solution is summable function.
Keywords: nonlinear Goursat–Darboux system, solutions having summable mixed derivatives, terminal optimization problem, maximum principle.
Received: 16.01.2011
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 49K20
Language: Russian
Citation: I. V. Lisachenko, V. I. Sumin, “The maximum principle for terminal optimization problem connected with Goursat–Darboux system in the class of functions having summable mixed derivatives”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2, 52–67
Citation in format AMSBIB
\Bibitem{LisSum11}
\by I.~V.~Lisachenko, V.~I.~Sumin
\paper The maximum principle for terminal optimization problem connected with Goursat--Darboux system in the class of functions having summable mixed derivatives
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 2
\pages 52--67
\mathnet{http://mi.mathnet.ru/vuu216}
\elib{https://elibrary.ru/item.asp?id=16386087}
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    • 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
    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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