A new qualitative proof of a result on the real jacobian conjecture
| Autor: | FRANCISCO BRAUN, JAUME LLIBRE |
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| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Anais da Academia Brasileira de Ciências, Vol 87, Iss 3, Pp 1519-1524 (2015) |
| Druh dokumentu: | article |
| ISSN: | 1678-2690 0001-3765 |
| DOI: | 10.1590/0001-3765201520130408 |
| Popis: | Let F= (f, g) : R2 → R2be a polynomial map such that det DF(x) is different from zero for all x∈ R2. We assume that the degrees of fand gare equal. We denote by the homogeneous part of higher degree of f and g, respectively. In this note we provide a proof relied on qualitative theory of differential equations of the following result: If do not have real linear factors in common, then F is injective. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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