Some properties of two-dimensional surjective p-homogeneous maps

The properties of real p-homogeneous polynomial maps in R2 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. © 2017, Pleiades Publishing, Ltd.

Авторы
Arutyunov A.V. 1, 2 , Zhukovskiy S.E. 1 , Karamzin D.Y. 1, 3
Журнал
Computational Mathematics and Mathematical Physics
Номер выпуска
7
Язык
Английский
Страницы
1081-1089
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1134/S096554251707003X
Том
57
Год
2017
Организации
  • 1 RUDN University, Moscow, 117198, Russian Federation
  • 2 Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russian Federation
  • 3 Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”, Russian Academy of Sciences, Moscow, 119333, Russian Federation
Ключевые слова
p-homogeneous maps; surjectivity and nontrivial zeros of homogeneous maps
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