Email this article ON EQUATIONS GENERATED BY NONLINEAR NILPOTENT MAPPINGS
- Authors: Zhukovskaya Z.T.1, Zhukovskiy S.E.1
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Affiliations:
- RUDN University
- Issue: Vol 23, No 124 (2018)
- Pages: 637-642
- Section: Articles
- URL: https://journals.rcsi.science/2686-9667/article/view/297271
- DOI: https://doi.org/10.20310/1810-0198-2018-23-124-637-642
- ID: 297271
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Abstract
A generalization of a nilpotent linear operator concept is proposed for nonlinear mapping acting from R2 to R2 . The properties of nonlinear nilpotent mappings are investigated. Criterions of nilpotence for differentiable and polynomial mappings are obtained.
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В этой работе исследуются отображения вещественных конечномерных пространств, обладающие свойством, сходным со свойством нильпотентности для линейных операторов.×
About the authors
Zukhra Tagirovna Zhukovskaya
RUDN University
Email: zyxra2@yandex.ru
Candidate of Physics and Mathematics, Assistant of the Nonlinear Analysis and Optimization Department 6 Miklukho-Maklaya St., Moscow 117198, Russian Federation
Sergey Evgenyevich Zhukovskiy
RUDN University
Email: s-e-zhuk@yandex.ru
Candidate of Physics and Mathematics, Associate Professor of the Nonlinear Analysis and Optimization Department 6 Miklukho-Maklaya St., Moscow 117198, Russian Federation
References
- Хорн Р., Джонсон Ч. Матричный анализ. М.: Мир, 1989. 655 с.
- Granas A., Dugundji J. Fixed Point Theory. N. Y.: Springer-Verlag, 2003. 690 p.
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