| 线性多步法求解中立型延迟微分方程的步长准则 |
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| 引用本文： | 余越昕. 线性多步法求解中立型延迟微分方程的步长准则[J]. 苏州科技学院学报(自然科学版), 2005, 22(2): 28-32 |
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| 作者姓名： | 余越昕 |
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| 作者单位： | 湘潭大学,数学系,湖南,湘潭,411105 |
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| 基金项目： | 国家自然科学基金资助项目(10271100)，湖南省教育厅资助科研项目(03C464) |
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| 摘 要： | 讨论了线性多步法用于求解中立型延迟微分方程时的步长准则，给出了数值解渐近稳定的一个充分条件，最后的数值试验验证了本文所获理论结果的正确性。
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| 关 键 词： | 中立型延迟微分方程 线性多步法 渐近稳定性 |
| 文章编号： | 1672-0687(2005)02-0028-05 |
| 修稿时间： | 2003-11-04 |
The Step Criteria of Linear Multi-step Methods for Neutrally Delayed Differential Equations |
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| YU Yue-xin. The Step Criteria of Linear Multi-step Methods for Neutrally Delayed Differential Equations[J]. Journal of University of Science and Technology of Suzhou, 2005, 22(2): 28-32 |
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| Authors: | YU Yue-xin |
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| Abstract: | This paper is concerned with the step criteria of linear multi-step methods for neutrally delayed differential equations. The sufficient conditions for the asymptotic stability of the umerical solutions are derived. The final numerical tests validate the theoretical results. |
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| Keywords: | neutrally delayed differential equations linear multi-step methods asymptotic stability |
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