| 非线性变延迟微分方程隐式Euler法的渐近稳定性 |
| |
| 引用本文： | 余越昕,李寿佛.非线性变延迟微分方程隐式Euler法的渐近稳定性[J].数学理论与应用,2004,24(1):13-16. |
| |
| 作者姓名： | 余越昕 李寿佛 |
| |
| 作者单位： | 湘潭大学数学系，湘潭，411105 |
| |
| 摘 要： | 本讨论非线性变延迟微分方程隐式Euler法的渐近稳定性。我们证明，在方程真解渐近稳定的条件下，隐式Euler法也是渐近稳定的。
|
| 关 键 词： | 非线性变延迟微分方程 隐式Euler法 渐近稳定性 数值计算 初值问题 差分方程 |
Asymptotic Stability of Implicit Euler Method for Nonlinear Delay Differential Equations |
| |
| Yu yuexin,Li shoufu.Asymptotic Stability of Implicit Euler Method for Nonlinear Delay Differential Equations[J].Mathematical Theory and Applications,2004,24(1):13-16. |
| |
| Authors: | Yu yuexin Li shoufu |
| |
| Abstract: | This paper is concerned with the asymptotic stability of implicit Euler method for delay differential equations(DDEs) with a variable delay.We prove that implicit Euler method is asymptotically stable when the condition that the analytical solutions of DDEs are asymptotically stable hold. |
| |
| Keywords: | Delay differential equations implicit Euler method asymptotic stability |
| 本文献已被 CNKI 维普 等数据库收录！ |
