| Texto completo | |
| Autor(es): |
Domingues, Marina
;
Llibre, Jaume
;
Mello, Luis Fernando
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Differential Equations; v. 457, p. 8-pg., 2025-12-23. |
| Resumo | |
Let F(x, y) = (f (x, y), g(x, y)) be a polynomial map from the real plane to the real plane with a nonzero Jacobian determinant at any point of the real plane. We prove that if the higher homogeneous terms of the derivatives gx and gy do not have real linear factors in common then F is injective. The tool for proving this result is the qualitative theory of the differential systems. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| Processo FAPESP: | 19/07316-0 - Teoria de singularidades e aplicações a geometria diferencial, equações diferenciais e visão computacional |
| Beneficiário: | Farid Tari |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |