Home > Articles > Published articles > Generalized Weierstrass integrability for the complex differential equations dy/dx=a(x)y^4 b(x)y^3 c(x)y^2 d(x)y e(x) |
Date: | 2013 |
Abstract: | We characterize the differential equations of the form dy/dx = a(x)y4 + b(x)y3 + c(x)y2 + d(x)y + e(x), where a, b, c, d, e are meromorphic functions in the variable x, that admits either a generalized Weierstrass first integral or a generalized Weierstrass inverse integrating factor. |
Grants: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999 |
Note: | Agraïments: 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: | Weierstrass first integrals ; Weierstrass inverse integrating factor ; Complex differential equation |
Published in: | Applied mathematics letters, Vol. 26 Núm. 8 (2013) , p. 836-841, ISSN 0893-9659 |
Postprint 8 p, 663.0 KB |