| 非线性中立型延迟积分微分方程单支方法的数值稳定性 |
| |
| 引用本文： | 邓义华.非线性中立型延迟积分微分方程单支方法的数值稳定性[J].东北师大学报(自然科学版),2009,41(2). |
| |
| 作者姓名： | 邓义华 |
| |
| 作者单位： | 衡阳师范学院数学系,湖南,衡阳,421008 |
| |
| 基金项目： | 湖南省自然科学基金，湖南省教育厅优秀青年项目 |
| |
| 摘 要： | 对一类非线性中立型延迟积分微分方程的数值稳定性进行了研究.将单支方法运用于这类方程得到了数值方法,根据A-稳定等价于G-稳定的理论,获得了其稳定与渐近稳定的一个充分条件.
|
| 关 键 词： | 中立型延迟积分微分方程 单支方法 数值稳定性 渐近稳定性 |
Numerical stability of one-leg methods for nonlinear neutral delay integro-differential equations |
| |
| DENG Yi-hua.Numerical stability of one-leg methods for nonlinear neutral delay integro-differential equations[J].Journal of Northeast Normal University (Natural Science Edition),2009,41(2). |
| |
| Authors: | DENG Yi-hua |
| |
| Institution: | DENG Yi-hua(Department of Mathematics,Hengyang Normal University,Hengyang 421008,China) |
| |
| Abstract: | The numerical stability to a class of nonlinear neutral delay integro-differential equations is studied in this paper.According to the theory that G-stability is equivalent to A-stability,a sufficient condition of stability and asymptotic stability of one-leg methods when applied to such equations is obtained. |
| |
| Keywords: | neutral delay integro-differential equations one-leg method numerical stability asymptotic stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
