Home > Articles > Published articles > Some new results on Darboux integrable differential systems |
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 |
Postprint 13 p, 351.5 KB |