On acyclicity of the set of solutions to the Cauchy problem for differential equations

被引：0

作者：

Klebanov, BS ^{[1
]}

Filippov, VV ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 1997年 / 62卷 / 5-6期

关键词：

ordinary differential equation; Cauchy problem; solution space; acyclicity;

D O I：

10.1007/BF02355458

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The acyclicity of sets of solutions to the Cauchy problem is considered from the viewpoint of the axiomatic theory of solutions spaces of ordinary differential equations. We prove that the class of acyclic solution spaces is closed with respect to passing to the limit space.

引用

页码：701 / 706

页数：6

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