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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 7, Pages 1083–1092
DOI: https://doi.org/10.7868/S0044466917070043 (Mi zvmmf10582) 		 
Some properties of two-dimensional surjective $p$-homogeneous maps

A. V. Arutyunovab, S. E. Zhukovskiyb, D. Yu. Karamzinbc

a Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
b RUDN University, Moscow, Russia
c Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466917070043
Abstract: The properties of real $p$-homogeneous polynomial maps in $\mathrm{R}^2$ 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.
Key words: $p$-homogeneous maps, surjectivity and nontrivial zeros of homogeneous maps.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60005_мол_а_дк
Ministry of Education and Science of the Russian Federation 02.A03.21.0008
1.962.2017/ПЧ
МК-2085.2017.1
МД-4639.2016.1
Russian Science Foundation 17-11-01168
Received: 02.02.2017
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 7, Pages 1081–1089
DOI: https://doi.org/10.1134/S096554251707003X
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskiy, D. Yu. Karamzin, “Some properties of two-dimensional surjective $p$-homogeneous maps”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017), 1083–1092; Comput. Math. Math. Phys., 57:7 (2017), 1081–1089
Citation in format AMSBIB
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