| 非线性延迟微分方程线性多步方法的收缩性 |
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| 引用本文： | 黄乘明. 非线性延迟微分方程线性多步方法的收缩性[J]. 湘潭大学自然科学学报, 1999, 21(3): 4-6 |
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| 作者姓名： | 黄乘明 |
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| 作者单位： | 湘潭大学计算与应用数学研究所!湘潭，411105 |
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| 摘 要： | 修正了现有文献中关于延迟微分方程理论解稳定性结果的证明过程．此外还讨论了一类线性多步法求解该类非线性问题的数值稳定性与渐近稳定性
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| 关 键 词： | 延迟微分方程 线性多步法 稳定性 收缩性 |
| 修稿时间： | 1998-10-15 |
Contractivityof Linear Multitep Methods Nonlinear Delay Differential Equations |
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| Huang Chengming. Contractivityof Linear Multitep Methods Nonlinear Delay Differential Equations[J]. Natural Science Journal of Xiangtan University, 1999, 21(3): 4-6 |
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| Authors: | Huang Chengming |
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| Abstract: | This paper is concerned with the contractivity of the theoretical solution and numerical solutions of delay differential equations (DDES).The proofs of the existed stability results for a class of nonlinear DDES are modified.In addition,numerical stability and asymptotical stability are discussed for a class of linear multistep methods applied to this systems. |
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| Keywords: | Delay differentcal equations Linear multistep methods Contractivity |
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