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求解广义中立型系统的线性多步方法的NGPG-稳定性

丛玉豪

丛玉豪. 求解广义中立型系统的线性多步方法的NGPG-稳定性[J]. 应用数学和力学, 2001, 22(7): 735-742.
引用本文: 丛玉豪. 求解广义中立型系统的线性多步方法的NGPG-稳定性[J]. 应用数学和力学, 2001, 22(7): 735-742.
CONG Yu-hao. NGPG-Stability of Linear Multistep Methods for Systems of Generalized Neutral Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2001, 22(7): 735-742.
Citation: CONG Yu-hao. NGPG-Stability of Linear Multistep Methods for Systems of Generalized Neutral Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2001, 22(7): 735-742.

求解广义中立型系统的线性多步方法的NGPG-稳定性

基金项目: 上海市教委青年科学基金资助项目(99QA80);上海市科学技术发展基金资助项目(00JC14057)
详细信息
    作者简介:

    丛玉豪(1965- ),男,山东人,博士,副教授.

  • 中图分类号: O241.81

NGPG-Stability of Linear Multistep Methods for Systems of Generalized Neutral Delay Differential Equations

  • 摘要: 建立了广义中立型延迟系统理论解渐近稳定的充分条件,分析了用线性多步方法求解广义中立型延迟系统数值解的稳定性,在一定的Lagrange插值条件下,证明了数值求解广义中立型系统的线性多步方法NGPG-稳定的充分必要条件是线性多步方法是A-稳定的.
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出版历程
  • 收稿日期:  2000-03-03
  • 修回日期:  2001-03-30
  • 刊出日期:  2001-07-15

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