| Z_e-变换和它在积分方程中的应用(英文) |
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| 引用本文： | 马欣荣.Z_e-变换和它在积分方程中的应用(英文)[J].苏州大学学报(医学版),1997(2). |
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| 作者姓名： | 马欣荣 |
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| 作者单位： | 苏州大学数学科学学院 苏州，215006 |
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| 摘 要： | 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。
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| 关 键 词： | 非标准分析/无穷小分析 Z-变换 反演 Volterra积分方程 |
Ze-TRANSFORMATION AND ITS APPLICATIONS TO INTEGRAL EQUATIONS |
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| Ma Xingrong.Ze-TRANSFORMATION AND ITS APPLICATIONS TO INTEGRAL EQUATIONS[J].Journal of Suzhou University(Natural Science),1997(2). |
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| Authors: | Ma Xingrong |
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| Abstract: | 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. |
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| Keywords: | non - standard analysis Zt-transformation inversion Volterra type equation |
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