Monotone convergence theorems for Henstock-Kurzweil integrable functions and applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:377

Article

Heikkila, S.

关键词: Henstock-Kurzweil integral;    Banach space;    Order cone;    Normal;    Regular;    Fully regular;    Monotone convergence theorem;    Integral equation;    Urysohn;    Solution;    Least;    Greatest;   

DOI  :  10.1016/j.jmaa.2010.10.063

来源: Elsevier

【 摘 要 】

In this paper we prove monotone convergence theorems for Henstock-Kurzweil integrable functions from a compact real interval to an ordered Banach space. These theorems are then applied to prove existence results for solutions of a discontinuous functional integral equation containing Henstock-Kurzweil integrable functions. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free