Polynomial and rational first integrals for planar homogeneous polynomial differential systems
In this paper we find necessary and suficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems.
| Authors: | , , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2014 |
| Country: | España |
| Institution: | Universitat de Lleida (UdL) |
| Repository: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/49445 |
| Online Access: | https://doi.org/10.5565/PUBLMAT_Extra14_14 http://hdl.handle.net/10459.1/49445 |
| Access Level: | Open access |
| Keyword: | First integral Polynomial differential equations Integrability problem Equacions diferencials |
| Summary: | In this paper we find necessary and suficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems. |
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