Loading [MathJax]/jax/output/CommonHTML/jax.js
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 53–61 (Mi ivm7303)  
This article is cited in 12 scientific papers (total in 12 papers)

Small solutions of nonlinear differential equations near branching points

N. A. Sidorovab, D. N. Sidorovc

a Chair of Mathematical Analysis and Differential Equations, Irkutsk State University, Irkutsk, Russia
b Institute of Systems Dynamics and Control Theory, Irkutsk, Russia
c Department of Applied Mathematics, Institute of Energy Systems, Siberian Branch of Russian Acedemy of Sciences, Irkutsk, Russia
Full-text PDF (208 kB) Citations (12)
References:
PDF
HTML
Abstract: We construct parametric families of small branching solutions to nonlinear differential equations of the nth order near branching points. We use methods of the analytical theory of branching solutions of nonlinear equations and the theory of differential equations with a regular singular point. We illustrate the general existence theorems with an example of a nonlinear differential equation in a certain magnetic insulation problem.
Keywords: Newton diagram, Jordan forms, Euler operator, branching, contracted mapping.
Received: 22.12.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 5, Pages 43–50
DOI: https://doi.org/10.3103/S1066369X11050070
Bibliographic databases:
Document Type: Article
UDC: 517.91+517.98
Language: Russian
Citation: N. A. Sidorov, D. N. Sidorov, “Small solutions of nonlinear differential equations near branching points”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 53–61; Russian Math. (Iz. VUZ), 55:5 (2011), 43–50
Citation in format AMSBIB
\Bibitem{SidSid11}
\by N.~A.~Sidorov, D.~N.~Sidorov
\paper Small solutions of nonlinear differential equations near branching points
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 5
\pages 53--61
\mathnet{http://mi.mathnet.ru/ivm7303}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2920089}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 5
\pages 43--50
\crossref{https://doi.org/10.3103/S1066369X11050070}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051612096}
Linking options:
  • https://www.mathnet.ru/eng/ivm7303
  • https://www.mathnet.ru/eng/ivm/y2011/i5/p53
    • This publication is cited in the following 12 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)
    Statistics & downloads:
    Abstract page:408
    Full-text PDF :96
    References:59
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025