On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales

被引：3

作者：

You, Xuexiao ^{[1
,2
]}

Zhao, Dafang ^{[1
,3
]}

Torresd, Delfim F. M. ^{[4
]}

机构：

[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China

[2] Hohai Univ, Coll Comp & Informat, Nanjing 210098, Jiangsu, Peoples R China

[3] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

[4] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 05期

关键词：

Henstock-Kurzweil integral; Riesz space; time scales; DIFFERENTIAL-EQUATIONS; DYNAMIC EQUATIONS; MCSHANE;

D O I：

10.22436/jnsa.010.05.18

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and investigate the Henstock-Kurzweil (HK) integral for Riesz-space-valued functions on time scales. Some basic properties of the HK delta integral for Riesz-space-valued functions are proved. Further, we prove uniform and monotone convergence theorems. (C) 2017 All rights reserved.

引用

页码：2487 / 2500

页数：14

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