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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 279–288 (Mi timm1021)  
This article is cited in 2 scientific papers (total in 2 papers)

On the extensibility of solutions of nonautonomous quadratic differential systems

E. N. Khailova, E. V. Grigorievab

a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Texas Woman's University, Denton
Full-text PDF (178 kB) Citations (2)
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Abstract: The extensibility of solutions of a nonautonomous quadratic differential system is considered. Sufficient conditions are established for the existence of solutions of the system on a given closed interval. Corresponding examples of the Riccati equation are presented. The results are applied for the estimation of the number of switchings of piecewise constant controls corresponding to boundary points of the attainable set of a nonlinear control system that describes a two-stage process of a biological treatment of sewage.
Keywords: nonautonomous quadratic differential system, extensibility of solutions, differential inequality, Chaplygin's theorem.
Received: 13.06.2013
Bibliographic databases:
Document Type: Article
UDC: 517.977.1
Language: Russian
Citation: E. N. Khailov, E. V. Grigorieva, “On the extensibility of solutions of nonautonomous quadratic differential systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 279–288
Citation in format AMSBIB
\Bibitem{KhaGri13}
\by E.~N.~Khailov, E.~V.~Grigorieva
\paper On the extensibility of solutions of nonautonomous quadratic differential systems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 4
\pages 279--288
\mathnet{http://mi.mathnet.ru/timm1021}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364385}
\elib{https://elibrary.ru/item.asp?id=20640527}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Full-text PDF :119
    References:81
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