On real solutions of systems of equations

被引：0

作者：

V. V. Kozlov

机构：

[1] Steklov Mathematical Institute of Russian Academy of Sciences,

[2] RUDN University,undefined

来源：

Functional Analysis and Its Applications | 2017年 / 51卷

关键词：

quasi-homogeneous truncation; asymptotic solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Systems of equations f1 = ··· = fn−1 = 0 in ℝn = {x} having the solution x = 0 are considered under the assumption that the quasi-homogeneous truncations of the smooth functions f1,..., fn−1 are independent at x ≠ 0. It is shown that, for n ≠ 2 and n ≠ 4, such a system has a smooth solution which passes through x = 0 and has nonzero Maclaurin series.

引用

页码：306 / 309

页数：3