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.
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页码：2487 / 2500
页数：14
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