Weierstrass integrability for a class of differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2014
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.
Grants:	Ministerio de Ciencia e Innovación MTM 2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 318999 European Commission 316338
Note:	Agraïments: FEDER/UNAB10-4E-378. The second author has been supported by FCT (grant PTDC/MAT/117106/2010 and through CAMGSD).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Complex differential systems ; Weierstrass first integrals ; Weierstrass inverse integrating factor
Published in:	Journal of Nonlinear Mathematical Physics, Vol. 21 Núm. 2 (2014) , p. 294-307, ISSN 1776-0852

DOI: 10.1080/14029251.2014.915165

Postprint 13 p, 702.2 KB

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