journal6 ›› 2004, Vol. 25 ›› Issue (4): 62-65.

• 数学 • 上一篇    下一篇

非线性多延迟微分方程单支方法的稳定性

  

  1. (吉首大学数学与计算机科学系,湖南,吉首 416000)
  • 出版日期:2004-12-15 发布日期:2012-09-22

The Stability of One-Leg Methods for Nonlinear Multi-Delay Differential Equations

  1. (Dept.of  Math.And Computer Science,Jishou University,Jishou,416000,Hunan,China)
  • Online:2004-12-15 Published:2012-09-22
  • About author:XIAO Fei-yan(1973-),female,was born in the city of Zhangjiajie,Hunan Province a lecturer of Jishou Unviersity,research interests lie in numerical methods for stiff differential equation.

摘要:本文对[1]中初值问题条件改造后,给出了非线性多延迟微分方程的单支方法GR-稳定的一个充分条件,并将[1]的部分工作推广到了多延迟的情形,获得了较好的结论.

关键词: 多延迟微分方程, 单支方法, GR-稳定, A-稳定, G-稳定

Abstract: A sufficient condition of GR-stability was given for nonlinear multi-delays differential equations and then,the author proved that any A-stable one-leg method (ρ,σ) is GR-stable.

Key words: multi-delay differential equations, one-leg methods, GR-stable, A-stable, G-stable

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