Email this article Some properties of two-dimensional surjective p-homogeneous maps
- Authors: Karamzin D.Y.1,2, Arutyunov A.V.1,3, Zhukovskiy S.E.1
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Affiliations:
- RUDN University
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
- Faculty of Computational Mathematics and Cybernetics
- Issue: Vol 57, No 7 (2017)
- Pages: 1081-1089
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179255
- DOI: https://doi.org/10.1134/S096554251707003X
- ID: 179255
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Abstract
The properties of real p-homogeneous polynomial maps in R2 are examined. The relation between surjectivity and the existence of a nontrivial zero is investigated. Additionally, the relation between surjectivity and stable surjectivity is studied. Examples are discussed.
About the authors
D. Yu. Karamzin
RUDN University; Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
Email: arutun@orc.ru
Russian Federation, Moscow, 117198; Moscow, 119333
A. V. Arutyunov
RUDN University; Faculty of Computational Mathematics and Cybernetics
Author for correspondence.
Email: arutun@orc.ru
Russian Federation, Moscow, 117198; Moscow, 119992
S. E. Zhukovskiy
RUDN University
Email: arutun@orc.ru
Russian Federation, Moscow, 117198
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