Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2019, Volume 105, Issue 4, Pages 603–615
DOI: https://doi.org/10.4213/mzm11950 (Mi mzm11950) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Convergent Series Expansions of Solutions of the Riccati Equation

V. S. Samovol

National Research University Higher School of Economics, Moscow
Full-text PDF (482 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm11950
Abstract: The Riccati equation with coefficients expandable in convergent power series in a neighborhood of infinity are considered. Extendable solutions of such equations are studied. Methods of power geometry are used to obtain conditions for convergent series expansions of these solutions. An algorithm for deriving such series is given.
Keywords: Riccati equation, extendable solution, power geometry, Newton polygon, asymptotic expansion.
Received: 30.01.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 4, Pages 592–603
DOI: https://doi.org/10.1134/S0001434619030325
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: V. S. Samovol, “On Convergent Series Expansions of Solutions of the Riccati Equation”, Mat. Zametki, 105:4 (2019), 603–615; Math. Notes, 105:4 (2019), 592–603
Citation in format AMSBIB
\Bibitem{Sam19}
\by V.~S.~Samovol
\paper On Convergent Series Expansions of Solutions of the Riccati Equation
\jour Mat. Zametki
\yr 2019
\vol 105
\issue 4
\pages 603--615
\mathnet{http://mi.mathnet.ru/mzm11950}
\crossref{https://doi.org/10.4213/mzm11950}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3942815}
\elib{https://elibrary.ru/item.asp?id=37180565}
\transl
\jour Math. Notes
\yr 2019
\vol 105
\issue 4
\pages 592--603
\crossref{https://doi.org/10.1134/S0001434619030325}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000467561600032}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85065491886}
Linking options:
  • https://www.mathnet.ru/eng/mzm11950
  • https://doi.org/10.4213/mzm11950
  • https://www.mathnet.ru/eng/mzm/v105/i4/p603
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:245
    Full-text PDF :61
    References:39
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024