A sufficient condition for the real Jacobian conjecture in R2
Let F = (f,g): R2 → R2 be a polynomial map such that detDF (x,y) is different from zero for all (x,y) ∈ R2. We provide some new sufficient conditions for the injectivity of F. The proofs are based on the qualitative theory of differential equations.
| 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:239787 |
| Acceso en línea: | https://ddd.uab.cat/record/239787 https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2021.103298 |
| Access Level: | acceso abierto |
| Palabra clave: | Real Jacobian conjecture Global injectivity Center |
| Sumario: | Let F = (f,g): R2 → R2 be a polynomial map such that detDF (x,y) is different from zero for all (x,y) ∈ R2. We provide some new sufficient conditions for the injectivity of F. The proofs are based on the qualitative theory of differential equations. |
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