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微分方程解的存在与惟一性的一种证明
引用本文:孙聪,王千.微分方程解的存在与惟一性的一种证明[J].数学学习,2011(3):26-27.
作者姓名:孙聪  王千
作者单位:吉林建筑工程学院城建学院,吉林长春130111
摘    要:运用Banach压缩定理可证明微分方程解的存在与惟一性.

关 键 词:微分方程  解的存在与惟一性  Banach压缩定理

On the Existence and Uniqueness of Solutions of Differential Equations
SUN Cong,WANG qian.On the Existence and Uniqueness of Solutions of Differential Equations[J].Studies In College Mathematics,2011(3):26-27.
Authors:SUN Cong  WANG qian
Institution:(School of City Construction, Jilin Architectural and Civil Engineering Institute, Changchun 130111, PRC)
Abstract:In this paper, the existence and the uniqueness of solutions of differential equations are proved by using Banach Compression Theorem. The aim of this approach is to provide a differenl view point to students.
Keywords:differential equation  existence and uniqueness of solutions  Banach compression theorem
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