Geodesic
On equations generated by nonlinear nilpotent mappings
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 124, pp. 637-642

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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. 
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     author = {Z. T. Zhukovskaya and S. E. Zhukovskiy},
     title = {On equations generated by nonlinear nilpotent mappings},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {637--642},
     publisher = {mathdoc},
     volume = {23},
     number = {124},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_124_a5/}
}
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Z. T. Zhukovskaya; S. E. Zhukovskiy. On equations generated by nonlinear nilpotent mappings. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 124, pp. 637-642. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_124_a5/