Liouvillian first integrals for generalized Riccati polynomial differential systems
We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati polynomial differential systems of the form x'=y, y'= a(x)y^2 b(x)y c(x), where a(x), b(x) and c(x) are polynomials.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145360 |
| Acceso en línea: | https://ddd.uab.cat/record/145360 https://dx.doi.org/urn:doi:10.1515/ans-2015-0411 |
| Access Level: | acceso abierto |
| Palabra clave: | Algebraic invariant curves Liouvillian first integrals Riccati polynomial differential equations |
| Sumario: | We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati polynomial differential systems of the form x'=y, y'= a(x)y^2 b(x)y c(x), where a(x), b(x) and c(x) are polynomials. |
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