Some new results on Darboux integrable differential systems
Ferragut Amengual, Antoni Manel (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)

Date:	2012
Abstract:	We deal with complex planar differential systems having a Darboux first integral H. We present a definition of remarkable values and remarkable curves associated to H and characterize the existence of a polynomial inverse integrating factor for these systems. Furthermore, we study the relation between the characteristic polynomial F and the inverse integrating factors of the system and show the importance of the numerator of the exponential factor of H in the construction of F.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2009-14163-C02-02 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Planar polynomial differential system ; Darboux first integral ; Inverse integrating factor ; Remarkable value ; Characteristic polynomial
Published in:	Journal of mathematical analysis and applications, Vol. 394 (2012) , p. 416-424, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2012.04.075

Postprint 13 p, 351.5 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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