经典实分析中的几个基础性问题

On some fundamental questions in the classical real analysis

利用Henstock Kurzweil积分和局部平均Henstock Kurzweil可积性,讨论了经典实分析中的几个基础性问题.问题的解决不仅完备了实分析理论,而且可直接应用于非连续微分方程广义解的求解.

Some fundamental questions in the classical real analysis are solved by means of the HenstockKurzweil integral and the locally mean HenstockKurzwei integrability.Moreover,the technique and the results in this paper are helpful to solving the problems of discontinuous systems.