Universitat de Lleida
    • English
    • català
    • español
  • English 
    • English
    • català
    • español
  • Login
Repositori Obert UdL
View Item 
  •   Home
  • Recerca
  • Matemàtica
  • Articles publicats (Matemàtica)
  • View Item
  •   Home
  • Recerca
  • Matemàtica
  • Articles publicats (Matemàtica)
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

On the planar integrable differential systems

Thumbnail
View/Open
Preprint (335.6Kb)
Issue date
2011
Author
Giné, Jaume
Llibre, Jaume
Suggested citation
Giné, Jaume; Llibre, Jaume; . (2011) . On the planar integrable differential systems. ZAMP. Journal of Applied Mathematics and Physics, 2011, vol. 62, núm. 4, p. 567-574. https://doi.org/10.1007/s00033-011-0116-5.
Impact


Web of Science logo    citations in Web of Science

Scopus logo    citations in Scopus

Google Scholar logo  Google Scholar
Share
Export to Mendeley
Metadata
Show full item record
Abstract
Under very general assumptions we prove that the planar differential systems having a first integral are essentially the linear differential systems u˙ = u, ˙v = v. Additionally such systems always have a Lie symmetry. We improve these results for polynomial differential systems defined in R2 or C2.
URI
http://hdl.handle.net/10459.1/60389
DOI
https://doi.org/10.1007/s00033-011-0116-5
Is part of
ZAMP. Journal of Applied Mathematics and Physics, 2011, vol. 62, núm. 4, p. 567-574
European research projects
Collections
  • Publicacions de projectes de recerca del Plan Nacional [2215]
  • Articles publicats (Matemàtica) [266]

Related items

Showing items related by title, author, creator and subject.

  • Polynomial and rational first integrals for planar quasi-homogeneous polynomial differential systems 

    Giné, Jaume; Grau Montaña, Maite; Llibre, Jaume (American Institute of Mathematical Sciences, 2013-10)
    In this paper we find necessary and sufficient conditions in order that a planar quasi-homogeneous polynomial differential system has a polynomial or a rational first integral. We also prove that any planar quasi-homogeneous ...
  • Polynomial and rational first integrals for planar homogeneous polynomial differential systems 

    Giné, Jaume; Grau Montaña, Maite; Llibre, Jaume (Universitat Autònoma de Barcelona, 2014)
    In this paper we find necessary and suficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic ...
  • Integrability of planar polynomial differential systems through linear differential equations 

    Giacomini, Héctor; Giné, Jaume; Grau Montaña, Maite (Rocky Mountain Mathematics Consortium, 2006)
    In this work we consider rational ordinary differential equations dy/dx = Q(x, y)/P(x, y), with Q(x, y) and P(x, y) coprime polynomials with real coefficients. We give a method to construct equations of this type for ...

Contact Us | Send Feedback | Legal Notice
© 2021 BiD. Universitat de Lleida
Metadata subjected to 
 

 

Browse

All of the repositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

Statistics

View Usage Statistics

D'interès

Política institucional d'accés obertDiposita les teves publicacionsDiposita dades de recercaSuport a la recerca

Contact Us | Send Feedback | Legal Notice
© 2021 BiD. Universitat de Lleida
Metadata subjected to