| 摘要: |
| 讨论了一类非线性中立型变延迟积分微分方程的稳定性.针对非线性中立型变延迟积分微分方程的模型方程,给出方程理论解稳定的条件并给予了证明; 其次研究了线性θ-方法求解方程的数值稳定性,证明了A-稳定的θ-方法求解非线性中立型变延迟积分微分方程是稳定的. |
| 关键词: 中立型变延迟积分微分方程 非线性 稳定性 线性θ-方法 |
| DOI： |
| 分类号: |
| 基金项目:国家自然科学基金(10971140) |
|
| Stability analysis of a class of nonlinear neutral delay-integro-differential equations |
|
CONG Yuhao1, LU Cuicui1, JIANG Chengxiang2
|
|
1.College of Mathematics and Sciences,Shanghai Normal University;2.Tianhua College,Shanghai Normal University
|
| Abstract: |
| We deal with the stability of a class of nonlinear neutral variable delay-integro-differential equations.Firstly,we study the stability analysis of the theoretical solutions.Secondly.We discuss the numerical stability analysis of linearθ- methods for nonlinear neutral variable delay-integro-differential equations. |
| Key words: nonlinear neutral variable delay-integro-differential equations numerical stability linear θ- method |
