| 求解变延迟微分方程的一类线性多步方法的收缩性 |
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| 引用本文： | 王晚生,李寿佛. 求解变延迟微分方程的一类线性多步方法的收缩性[J]. 高等学校计算数学学报, 2004, 26(3): 214-221 |
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| 作者姓名： | 王晚生 李寿佛 |
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| 作者单位： | 湘潭大学数学系,湘潭,411105 |
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| 摘 要： | This paper presents a sufficient condition on the contractivity of theoretical solution for a class of nonlinear systems of delay differential equations with many variable delays(MDDEs), which is weak,compared with the sufficient condition of previous articles.In addition,it discusses the numerical stability properties of a class of special linear nmltistep methods for this class nonlinear problems.And it is pointed out that not only the backwm‘d Euler method but also this class of linear multistep methods are GRNm-stable if linear interpolation is used.
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| 关 键 词： | 延迟微分方程 求解 线性 收缩性 方法 |
CONTRACTIVITY OF LINEAR MULTISTEP METHODS FOR SOLUTION OF DELAY DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS |
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| Wang Wansheng Li Shoufu. CONTRACTIVITY OF LINEAR MULTISTEP METHODS FOR SOLUTION OF DELAY DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS[J]. Numerical Mathematics A Journal of Chinese Universities, 2004, 26(3): 214-221 |
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| Authors: | Wang Wansheng Li Shoufu |
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| Abstract: | This paper presents a sufficierit condition on the contractivity of theo-retical solution for a class of nonlinear systems of delay differerltial equations with many variable delays(MDDEs), which is weak,compared with the sufficient condition of previous articles.In addition,it discusses the numerical stability properties of a class of special linear multistep methods for this class nonlinear problems. And it is pointed out that not only the backward Euler method but also this class of linear multistep methods are GRNm-stable if linear interpolation is used. |
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| Keywords: | delay differential equation liriear multistep methods contractivity. |
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