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二阶延迟微分方程单支θ-方法的渐近稳定性
引用本文:陈志兴,殷雪剑.二阶延迟微分方程单支θ-方法的渐近稳定性[J].滁州学院学报,2011,13(5):13-14.
作者姓名:陈志兴  殷雪剑
作者单位:安徽大学数学科学学院,安徽合肥,230039
摘    要:考虑二阶微分方程单支θ-方法的稳定性质,证明当θ=1时数值方法将保持此时滞系统解析解的稳定性。

关 键 词:二阶延迟微分方程  稳定性  单支θ-方法

Stability of One-leg θ-methods for Second-order Delay Difference Equations
Chen Zhixing,Yin Xuejian.Stability of One-leg θ-methods for Second-order Delay Difference Equations[J].Journal of Chuzhou University,2011,13(5):13-14.
Authors:Chen Zhixing  Yin Xuejian
Institution:(School of Mathematical Sciences,Anhui University,Hefei 230039,China)
Abstract:In this paper,stable properties of one-leg θ-methods for second-order delay differential equations is considered.It is proved numerical methods preserve corresponding stability of this system ifθ=1.
Keywords:second-order delay differential equation  stability  one-leg θ-methods
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