| 求解广义中立型系统的线性多步方法的NGP_G-稳定性 |
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| 引用本文： | 丛玉豪. 求解广义中立型系统的线性多步方法的NGP_G-稳定性[J]. 应用数学和力学, 2001, 0(7) |
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| 作者姓名： | 丛玉豪 |
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| 作者单位： | 上海师范大学数学科学学院!上海200234 |
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| 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(0 0JC140 57) |
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| 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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| 关 键 词： | 广义中立型系统 渐近稳定性 线性多步方法 NGPG-稳定性 |
NGP_G-Stability of Linear Multistep Methods for Systems of Generalized Neutral Delay Differential Equations |
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| CONG Yu_hao. NGP_G-Stability of Linear Multistep Methods for Systems of Generalized Neutral Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2001, 0(7) |
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| Authors: | CONG Yu_hao |
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| Abstract: | The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was analysed for the solution of the generalized system of linear neutral test equations. After the establishment of a sufficient condition for asymptotic stability of the solutions of the generalized system, it is shown that a linear multistep method is NGP G_stable if and only if it is A_stable. |
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| Keywords: | generalized neutral delay differential system asymptotic stability linear multistep methods NGP G_stability |
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