Henstock-Kurzweil delta and nabla integrals

被引：32
作者：
Peterson, Allan [1 ]
Thompson, Bevan
机构：
[1] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA
[2] Univ Queensland, SPS, Brisbane, Qld 4072, Australia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 01期
关键词：
Henstock-Kurzweil integral; time scales;
D O I：
10.1016/j.jmaa.2005.10.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We will study the Henstock-Kurzweil delta and nabla integrals, which generalize the Henstock-Kurzweil integral. Many properties of these integrals will be obtained. These results will enable time scale researchers to study more general dynamic equations. The Henstock-Kurzweil delta (nabla) integral contains the Riemann delta (nabla) and Lebesque delta (nabla) integrals as special cases. (c) 2005 Elsevier Inc. All rights reserved.
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页码：162 / 178
页数：17
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