A new qualitative proof of a result on the real jacobian conjecture
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.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
2015
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000401519 |
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