| 中立型延迟微分方程Runge-Kutta方法的稳定性 |
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| 引用本文： | 宋明辉.中立型延迟微分方程Runge-Kutta方法的稳定性[J].黑龙江大学自然科学学报,2003,20(3):10-14. |
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| 作者姓名： | 宋明辉 |
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| 作者单位： | 哈尔滨工业大学,理学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | National Natural Science Foundation of China(10271036) |
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| 摘 要： | 研究以下中立型延迟微分方程y'(t)=Ly(t)+My(t-τ1)+Ny'(t-τ2)
t≥0y(t)=g(t) t＜0其中L,M,N是d×d复矩阵,τ2≥τ1＞0,g(t)是给定的向量函数.证明了Runge-Kutta法是NGP-稳定的充分必要条件是它是A-稳定的.
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| 关 键 词： | 延迟微分方程 Runge-Kutta法 NGP-稳定 |
The stability of Runge-Kutta methods for systems of neutral delay differential equations |
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| Abstract.The stability of Runge-Kutta methods for systems of neutral delay differential equations[J].Journal of Natural Science of Heilongjiang University,2003,20(3):10-14. |
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| Authors: | Abstract |
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| Abstract: | Consider the following neutral delay differential equation (NDDE)
where L, M, N are dxd complex matrixs. g(t) is a given vector function. The Runge-Kutta methods is NGP-stable if and only if it is A-stable, when used to the test system above. |
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| Keywords: | delay differential equation Runge-Kutta method NGP - stability |
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