On Real Solutions of Systems of Equations

被引：3

作者：

Kozlov, V. V. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

[2] RUDN Univ, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2017年 / 51卷 / 04期

关键词：

quasi-homogeneous truncation; asymptotic solution; ALGEBRAIC 1ST INTEGRALS; EXISTENCE;

D O I：

10.1007/s10688-017-0197-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Systems of equations f (1) = ...= f (n-1) = 0 in R-n = {x} having the solution x = 0 are considered under the assumption that the quasi-homogeneous truncations of the smooth functions f (1),..., f (n-1) are independent at x not equal 0. It is shown that, for n not equal 2 and n not equal 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：4

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[4]

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[5]

Kozlov V. V., 2013, ASYMPTOTIC SOLUTIONS

[6]

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