| 非线性中立型延迟积分微分方程隐式Euler方法的收缩性 |
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| 引用本文： | 王锦红,宋豪杰. 非线性中立型延迟积分微分方程隐式Euler方法的收缩性[J]. 数学理论与应用, 2010, 0(4): 33-37 |
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| 作者姓名： | 王锦红 宋豪杰 |
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| 作者单位： | 长沙理工大学数学与计算科学学院,长沙410004 |
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| 摘 要： | 本文致力于研究非线性中立型延迟积分微分方程隐式Euler方法的收缩性。本文中的Lipschitz数是关于变量t的函数,而不是常数,最终能得到其数值解的结果是收缩的。
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| 关 键 词： | 收缩性 隐式Euler方法 中立型泛函微分方程 中立型延迟积分微分方程 |
The Contractivity of Implict Euler Methods for the Nonlinear Systems of Neutral Delay Integral Differential Equations |
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| Wang Jinhong Song Haojie. The Contractivity of Implict Euler Methods for the Nonlinear Systems of Neutral Delay Integral Differential Equations[J]. Mathematical Theory and Applications, 2010, 0(4): 33-37 |
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| Authors: | Wang Jinhong Song Haojie |
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| Affiliation: | Wang Jinhong Song Haojie(School of Mathematics and Computational Science,Changsha University of Science ＆ Technology,Changsha,410004) |
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| Abstract: | This paper is concerned with the contractivity of implict Euler methods for the nonlinear systems of neutral delay integral differential equations（NDIDES）.The Lipschitz number of this article is a function of t on the variable,not constant.For nonlinear neutral delay differential equation,the final result can be contract. |
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| Keywords: | Contractivity Implict Euler methods Neutral functional differential equations Neutral delay integral differential equations |
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