Loading [MathJax]/jax/output/SVG/config.js
Sibirskii Zhurnal Industrial'noi Matematiki
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


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 1, Pages 37–51
DOI: https://doi.org/10.17377/sibjim.2016.19.104 (Mi sjim910) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Group classification of second-order projective-type ODEs

Yu. Yu. Bagderina

Institute of Mathematics with Computer Center of the Ufa Scientific Center of RAS, 112 Chernyshevskii str., 450008 Ufa
Full-text PDF (290 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.17377/sibjim.2016.19.104
Abstract: Group classification with respect to admitted point transformation groups is implemented for second-order ordinary differential equations with cubic nonlinearity in the first-order derivative. The result is obtained with the use of invariants of the equivalence transformation group of the family of equations under consideration. The corresponding Riemannian metric is found for the equations that are the projection of a system of geodesics to a two-dimensional surface.
Keywords: transformation group, symmetry, equivalence, invariant, group classification.
Funding agency Grant number
Russian Science Foundation 14-11-00078
Received: 14.05.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 1, Pages 37–50
DOI: https://doi.org/10.1134/S1990478916010051
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: Yu. Yu. Bagderina, “Group classification of second-order projective-type ODEs”, Sib. Zh. Ind. Mat., 19:1 (2016), 37–51; J. Appl. Industr. Math., 10:1 (2016), 37–50
Citation in format AMSBIB
\Bibitem{Bag16}
\by Yu.~Yu.~Bagderina
\paper Group classification of second-order projective-type ODEs
\jour Sib. Zh. Ind. Mat.
\yr 2016
\vol 19
\issue 1
\pages 37--51
\mathnet{http://mi.mathnet.ru/sjim910}
\crossref{https://doi.org/10.17377/sibjim.2016.19.104}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549856}
\elib{https://elibrary.ru/item.asp?id=25591890}
\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 1
\pages 37--50
\crossref{https://doi.org/10.1134/S1990478916010051}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84961615327}
Linking options:
  • https://www.mathnet.ru/eng/sjim910
  • https://www.mathnet.ru/eng/sjim/v19/i1/p37
    • This publication is cited in the following 3 articles:
    1. Sergei V. Agapov, Maria V. Demina, “Integrable geodesic flows and metrisable second-order ordinary differential equations”, Journal of Geometry and Physics, 199 (2024), 105168  crossref
    2. H. C. Rosu, O. Cornejo-Perez, M. Perez-Maldonado, J. A. Belinchon, “Extension of a factorization method of nonlinear second order ODE's with variable coefficients”, Rev. Mex. Fis., 63:3 (2017), 218–222  mathscinet  isi
    3. Yu. Yu. Bagderina, “Invariants of a family of scalar second-order ordinary differential equations for Lie symmetries and first integrals”, J. Phys. A-Math. Theor., 49:15 (2016), 155202  crossref  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:286
    Full-text PDF :108
    References:93
    First page:52
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025