Weierstrass integrability of complex differential equations
We characterize the complex differential equations of the form dydx=an(x)yn+an-1(x)yn-1+⋯+a1(x)y+a0(x), where a(x) are meromorphic functions in the variable x for j = 0,…,n that admit either a Weierstrass first integral or a Weierstrass inverse integrating factor.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:257099 |
| Acceso en línea: | https://ddd.uab.cat/record/257099 https://dx.doi.org/urn:doi:10.1007/s10114-021-8374-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Weierstrass first integrals Weierstrass inverse integrating factor Complex differential equations |
| Sumario: | We characterize the complex differential equations of the form dydx=an(x)yn+an-1(x)yn-1+⋯+a1(x)y+a0(x), where a(x) are meromorphic functions in the variable x for j = 0,…,n that admit either a Weierstrass first integral or a Weierstrass inverse integrating factor. |
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