On invariance factors and invariance vectors for difference equations

被引：2

作者：

Van Horssen, WT ^{[1
]}

机构：

[1] Delft Univ Technol, Dept Appl Math Anal, NL-2628 CD Delft, Netherlands

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2002年 / 8卷 / 12期

关键词：

invariance factor; invariance vector; exact difference equation; invariant; first integral; functional equation;

D O I：

10.1080/1023619021000053999

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concept of invariance factors and invariance vectors to obtain invariants (or first integrals) for difference equations will be presented. It will be shown that all invariance factors and invariance vectors have to satisfy a functional equation. This concept turns out to be analogous to the concept of integrating factors and integrating vectors for ordinary differential equations.

引用

页码：1133 / 1146

页数：14

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