Asymptotic diagonalization and normalization of linear q-difference equations

被引：0

作者：

Eli, I ^{[1
]}

机构：

[1] Kashgar Teachers Coll, Dept Math, Xinjiang, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2003年 / 9卷 / 02期

关键词：

q-difference equations; Jordan normal form; Arnold normal form; Sylvester family;

D O I：

10.1080/1023619021000036943

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotic diagonalizations of linear differential equations are studied by several authors. The problems for linear difference equations are investigated recently by Bodine and Sacker. In their work, the full spectrum condition plays essential role. Here we consider a related problem for q -difference equations, \ q \<1, which do not satisfy the full spectrum condition. Our tool is the Arnold normal form for matrix.

引用

页码：239 / 246

页数：8

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