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线性时滞微分方程的点态退化(英文)
引用本文:王晓佳.线性时滞微分方程的点态退化(英文)[J].应用数学,2012,25(1):224-230.
作者姓名:王晓佳
作者单位:合肥工业大学,安徽合肥,230009
基金项目:Supported by the National Nature Science Foundation of China(71101041,71071045)
摘    要:本文讨论了线性时滞微分方程的点态退化问题.借助于矩阵的有关知识,我们给出了判定n阶时滞微分方程点态退化的充分必要条件及代数判据.

关 键 词:点态退化  点态完备  时滞微分方程

On the Pointwise Degeneracy of Linear Delay Differential Equations
WANG Xiaojia.On the Pointwise Degeneracy of Linear Delay Differential Equations[J].Mathematica Applicata,2012,25(1):224-230.
Authors:WANG Xiaojia
Institution:WANG Xiaojia(Hefei University of Technology,Hefei 230009,China)
Abstract:This paper mainly discussed the pointwise degeneracy of linear delay differential equations.With the knowledge of matrix,we give the necessary and sufficient conditions of pointwise degeneracy on n-order delay differential equations.In addition,we also obtain the algebraic criteria of pointwise degeneracy for n-order linear delay differential equations.We think that it will widen the field of this system.
Keywords:Pointwise degeneracy  Pointwise completeness  Delay differential equation
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