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Matematicheskie Zametki, 2016, Volume 99, Issue 2, Pages 181–185
DOI: https://doi.org/10.4213/mzm10711 (Mi mzm10711) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Surjective Quadratic Mappings

A. V. Arutyunov, S. E. Zhukovskii

Peoples Friendship University of Russia, Moscow
Full-text PDF (419 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm10711
Abstract: In the paper, quadratic mappings acting from one finite-dimensional space to another are studied. Sufficient conditions for the stable surjectivity of a quadratic surjective mapping (i.e., for the condition that every quadratic mapping sufficiently close to a given one is also surjective) are obtained. The existence problem for nontrivial zeros of a surjective quadratic mapping acting from $\mathbb{R}^n$ to $\mathbb{R}^n$ is studied. For $n=3$, the absence of these zeros is proved.
Keywords: quadratic mapping, quadratic surjective mapping, stable surjectivity.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.333.2014/K
МК-5333.2015.1
Russian Foundation for Basic Research 15-01-04601
Received: 05.11.2014
Revised: 18.09.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 2, Pages 192–195
DOI: https://doi.org/10.1134/S0001434616010223
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskii, “On Surjective Quadratic Mappings”, Mat. Zametki, 99:2 (2016), 181–185; Math. Notes, 99:2 (2016), 192–195
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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