Z_e-变换和它在积分方程中的应用(英文)

Ze-TRANSFORMATION AND ITS APPLICATIONS TO INTEGRAL EQUATIONS

借助非标准分析,本文讨论了在一般偏序集上的Mobius-Rota反演和Volterra型积分方程的联系,提出了Z一变换方法,并具体给出它在Volterra型方程中的应用。

This paper is devoted to discussion of relation bctween the Mobius-Rota inversion of reduced incidence algebra and Volterra - type integral equation. A kind of transformation is established by the aids of non - standard analysis together with its applications to Volterra integral equations being investigated in details.