| 变延迟微分方程一般线性方法的非线性稳定性 |
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| 引用本文： | 董点,黄乘明.变延迟微分方程一般线性方法的非线性稳定性[J].江西师范大学学报(自然科学版),2006,30(3):256-259. |
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| 作者姓名： | 董点 黄乘明 |
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| 作者单位： | 华中科技大学,数学系,湖北,武汉,430074 |
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| 摘 要： | 讨论非线性变延迟微分方程初值问题一般线性方法的稳定性.对延迟量满足Lipschitz条件且最小Lipschitz常数小于1的一类方程获得带线性插值的一般线性方法的非线性稳定性结果.
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| 关 键 词： | 变延迟微分方程 一般线性方法 非线性稳定性 |
| 文章编号： | 1000-5862（2006）03-0256-04 |
| 收稿时间： | 2006-02-20 |
| 修稿时间： | 2006-02-20 |
Nonlinear Stability of General Linear Method for Delay Differential Equations with a Variable Delay |
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| DONG Dian,HUANG Cheng-ming.Nonlinear Stability of General Linear Method for Delay Differential Equations with a Variable Delay[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2006,30(3):256-259. |
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| Authors: | DONG Dian HUANG Cheng-ming |
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| Institution: | Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | This paper is devoted to studying stability of general linear methods for delayed differential equations with a variable delay satisfying Lipschitz condition with the minimum Lipschitz constant L<1,and obtains some nonlinear stability results on general linear interpolation methods. |
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| Keywords: | delay differential equations general linear methods nonlinear stability |
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