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一类三阶微分方程边值问题的单调迭代法
引用本文:张伟伟,刘文斌,徐丛丛,黎定仕.一类三阶微分方程边值问题的单调迭代法[J].数学的实践与认识,2008,38(17).
作者姓名:张伟伟  刘文斌  徐丛丛  黎定仕
作者单位:中国矿业大学理学院,江苏,徐州,221008
摘    要:用单调迭代法研究一类三阶微分方程边值问题解的存在性,不仅证明了该问题解的存在性,而且得到了其迭代格式.

关 键 词:三阶微分方程  边值问题  单调迭代法  存在性

Monotone Iterative Technique for A Class of Boundary Value Problem for Third-Order Differential Equation
ZHANG Wei-wei,LIU Wen-bin,XU Cong-cong,LI Ding-shi.Monotone Iterative Technique for A Class of Boundary Value Problem for Third-Order Differential Equation[J].Mathematics in Practice and Theory,2008,38(17).
Authors:ZHANG Wei-wei  LIU Wen-bin  XU Cong-cong  LI Ding-shi
Abstract:This paper uses the monotone iterative technique to investigate the existence of the solutions of a class of boundary value problem for third-order differential equation.It not only argues the existence of the solutions of this problem,but also obtains its iterate format.
Keywords:third-order differential equation  boundary value problem  monotone iterative technique  existence
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