PRODUCT INTEGRATION ON TIME SCALES

被引：0
|
作者：
Slavik, Antonin [1 ]
机构：
[1] Charles Univ Prague, Fac Math & Phys, Prague 18675 8, Czech Republic
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2010年 / 19卷 / 01期
关键词：
Product integral; matrix exponential; linear dynamic system; regressive function;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notion of product Delta-integral of a matrix function defined on an arbitrary time scale, and thus generalize the classical definition of product integral. We prove that every Riemann Delta-integrable matrix function is also product Delta-integrable, and investigate the properties of the indefinite product Delta-integral, including its relation to linear systems of dynamic equations. Finally, we generalize the notion of the matrix exponential function.
引用
收藏
页码：97 / 112
页数：16
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