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一类微分方程与积分方程等价性的应用
引用本文:程黄金,陈伟.一类微分方程与积分方程等价性的应用[J].中国科技信息,2006(21):298-299.
作者姓名:程黄金  陈伟
作者单位:1. 安徽大学,淮南联合大学,232001
2. 淮南联合大学,232001
摘    要:对于某些微分方程和积分方程而言,如果直接求解,有时非常困难。但是若能利用它们之间的等价性,相互转化后求解,则能很好地解决这一问题。为此,给出了一个等价性定理和证明,并在泛函分析和微分方程学科中列举了应用实例。

关 键 词:微分方程  积分方程  等价  应用

The Equivalency and Applications of Some Differential Equations and Intergral Equations
Cheng Huangjin,Chen Wei.The Equivalency and Applications of Some Differential Equations and Intergral Equations[J].CHINA SCIENCE AND TECHNOLOGY INFORMATION,2006(21):298-299.
Authors:Cheng Huangjin  Chen Wei
Institution:Huainan Union University,Huainan Anhui 232001
Abstract:For some differential equations and integral equations, it's usually very difficult to solve them directly. However we can apply equivalency and solve them. Herewe give an equivalency theorem and its proof, furthermore present some examples in its applications to functional analysis and differential equations.
Keywords:differential equation  integral equation  equivalency  application
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