Vanishing of higher-order moments on Lipschitz curves

被引：3
|
作者：
Brudnyi, Alexander [1 ]
机构：
[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2008年 / 132卷 / 03期
关键词：
moment; iterated integral; Lipschitz curve;
D O I：
10.1016/j.bulsci.2006.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study some algebraic and topological objects that appear naturally in the study of the center problem for the ordinary differential equation v ' = Sigma(infinity)(i=1)a(i)(x)v(i+1). In particular, we give a topological characterization of Lipschitz curves defined by the first integrals of the coefficients of this equation such that all moments of order <= n, n epsilon N, vanish on them. (c) 2006 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：165 / 181
页数：17
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