Differential and integral equations with Henstock-Kurzweil integrable functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:379

Article

Heikkila, S.

关键词: Henstock-Kurzweil integral;    Banach space;    Banach lattice;    Weakly complete;    Order cone;    Normal;    Fully regular;    Fixed point;    Integral equation;    Cauchy problem;    Solution;   

DOI  :  10.1016/j.jmaa.2010.12.050

来源: Elsevier

【 摘 要 】

In this paper we apply fixed point theorems for increasing mappings in ordered normed spaces to prove existence and comparison results for solutions of discontinuous functional differential and integral equations containing Henstock-Kurzweil integrable functions. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free