The Distributional Henstock-Kurzweil Integral and Applications: a Survey

• 来源期刊: 数学研究
• 年，卷（期）: 2016,（4）
• 页码范围: 433-448
• 页数: 16页
• 语种: 中文
• DOI: 10.4208/jms.v49n4.16.06

摘要

This study presents a summary of the current state of research on the distributional Henstock-Kurzweil integral.Basic properties such as integration by parts,Hake theorem,inner product,H(o)1der inequality,second mean value theorem,orderings,Banach lattice,convergence theorems,fixed point theorems,are shown.This study also summarizes its applications in integral and differential equations.