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)
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.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150590 |
| Acceso en línea: | https://ddd.uab.cat/record/150590 https://dx.doi.org/urn:doi:10.1016/j.aml.2013.03.018 |
| Access Level: | acceso abierto |
| Palabra clave: | Weierstrass first integrals Weierstrass inverse integrating factor Complex differential equation |
| Sumario: | 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. |
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