Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/timm1021
  • https://www.mathnet.ru/eng/timm/v19/i4/p279
    • 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
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:346
    Full-text PDF :120
    References:84
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024