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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 124, Pages 637–642
DOI: https://doi.org/10.20310/1810-0198-2018-23-124-637-642 (Mi vtamu6) 		 
On equations generated by nonlinear nilpotent mappings

Z. T. Zhukovskaya, S. E. Zhukovskiy

RUDN University
Full-text PDF (123 kB)
DOI: https://doi.org/10.20310/1810-0198-2018-23-124-637-642
Abstract: A generalization of a nilpotent linear operator concept is proposed for nonlinear mapping acting from $\mathbb{R}^2$ to $\mathbb{R}^2.$ The properties of nonlinear nilpotent mappings are investigated. Criterions of nilpotence for differentiable and polynomial mappings are obtained.
Keywords: nonlinear nilpotent mapping, polynomial homogeneous mapping.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-2085.2017.1
Russian Foundation for Basic Research 16-01-00677
Russian Science Foundation 17-11-01168
The work was supported by the grant of the President of Russian Federation (Project No. MK-2085.2017.1). The results of Section 1 are due to the first author who was supported by the Russian Science Foundation (Project No. 17-11-01168).
Received: 19.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: Z. T. Zhukovskaya, S. E. Zhukovskiy, “On equations generated by nonlinear nilpotent mappings”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018), 637–642
Citation in format AMSBIB
\Bibitem{ZhuZhu18}
\by Z.~T.~Zhukovskaya, S.~E.~Zhukovskiy
\paper On equations generated by nonlinear nilpotent mappings
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 124
\pages 637--642
\mathnet{http://mi.mathnet.ru/vtamu6}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-124-637-642}
\elib{https://elibrary.ru/item.asp?id=36239234}
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