Journal of Nonlinear Mathematical Physics

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Volume 21, Issue 2, March 2014, Pages 294 - 307

Weierstrass integrability for a class of differential systems

Authors
Jaume Llibre, Claudia Valls*
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spainjllibre@mat.uab.cat
Departamento de Matemática, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais 1049–001, Lisboa, Portugalcvalls@math.ist.utl.pt
*

The second author is supported by Portuguese National Funds through FCT - Fundação para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD.

Received 28 January 2014, Accepted 19 March 2014, Available Online 6 January 2021.
DOI
10.1080/14029251.2014.915165How to use a DOI?
Keywords
Weierstrass first integrals; Weierstrass inverse integrating factor; complex differential systems
Abstract

We characterize the differential equations of the form

x′=y, y′=an(x)yn+an-1(x)yn-1+⋯+a1(x)y+a0(x), n≥2, an(0)≠0,
where aj(x) are meromorphic functions in the variable x for j = 0,…,n that admits either a Weierstrass first integral or a Weierstrass inverse integrating factor.

Copyright
© 2014 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
21 - 2
Pages
294 - 307
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2014.915165How to use a DOI?
Copyright
© 2014 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Jaume Llibre
AU  - Claudia Valls
PY  - 2021
DA  - 2021/01/06
TI  - Weierstrass integrability for a class of differential systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 294
EP  - 307
VL  - 21
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2014.915165
DO  - 10.1080/14029251.2014.915165
ID  - Llibre2021
ER  -