Preprints of the Keldysh Institute of Applied Mathematics
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



Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find






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


Preprints of the Keldysh Institute of Applied Mathematics, 2007, 062, 33 pp. (Mi ipmp517)  

This article is cited in 2 scientific papers (total in 2 papers)

All base asymptotic expansions of solutions to the equation P6 in the case $a\cdot b\ne0$

A. D. Bruno, I. V. Goryuchkina
Full-text PDF (761 kB) Citations (2)
Abstract: With the methods of power geometry we obtained those asymptotic expansions of solutions to the equation P6 near its singular point $x=0$, which have the order of the first term less one. These expansions are named base expansions. They organize 19 families and include expansions of four types: power, power-logarithmic, complicated and exotic. All other asymptotic expansions of solutions to the equation P6 near its singular points $x=0$, $x=1$ and $x=\infty$ compute from the base expansions by means of symmetries of the equation. The most of these expansions are new.
Document Type: Preprint
UDC: 517.91
Language: Russian
Citation: A. D. Bruno, I. V. Goryuchkina, “All base asymptotic expansions of solutions to the equation P6 in the case $a\cdot b\ne0$”, Keldysh Institute preprints, 2007, 062, 33 pp.
Citation in format AMSBIB
\Bibitem{BruGor07}
\by A.~D.~Bruno, I.~V.~Goryuchkina
\paper All base asymptotic expansions of solutions to the equation~P6 in the case $a\cdot b\ne0$
\jour Keldysh Institute preprints
\yr 2007
\papernumber 062
\totalpages 33
\mathnet{http://mi.mathnet.ru/ipmp517}
Linking options:
  • https://www.mathnet.ru/eng/ipmp517
  • https://www.mathnet.ru/eng/ipmp/y2007/p62
    See also
    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
    Препринты Института прикладной математики им. М. В. Келдыша РАН
    Statistics & downloads:
    Abstract page:175
    Full-text PDF :49
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024