| 随机Volterra积分方程的非标准及演解法 |
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| 引用本文： | 孙广润,徐利治. 随机Volterra积分方程的非标准及演解法[J]. 数学进展, 1996, 0(4) |
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| 作者姓名： | 孙广润 徐利治 |
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| 作者单位： | 曲阜师范大学，大连理工大学 |
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| 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．
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| 关 键 词： | 非标准分析；星型Mobius反演；随机积分方程；Volterra积分方程 |
The Use of Nonstandard Mobius Inversion to Solve Stochastic Volterra Integral Equations |
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| Sun Guangrun. The Use of Nonstandard Mobius Inversion to Solve Stochastic Volterra Integral Equations[J]. Advances in Mathematics(China), 1996, 0(4) |
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| Authors: | Sun Guangrun |
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| Abstract: | 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. |
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| Keywords: | nonstandard analysis star-form Mobius inversion stochastic integral equation Volterra integral equation |
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