摘要
本文借助星型Mobius反演得到随机积分Volterra方程的一个全新解法.它旨在揭示离散反演与连续反演的内在联系,为探索各类反演的统一性提供了一种可能的研究途径.
In this paper, a totally new solution of stochastic Volterra integral equations is obtained with the aid of *-M bius Inversion. The purpose of this paper is to reveal the inherent relations of discrete transforms to continuous ones. This result affords a probable avenue to explore the unity in various inversion formulae.
出处
《数学进展》
CSCD
北大核心
1996年第4期360-365,共6页
Advances in Mathematics(China)
关键词
解
灭比乌斯反演
随机积分方程
积分方程
nonstandard analysis
star-form Mobius inversion
stochastic integral equation
Volterra integral equation