| 一类特殊比例方程的稳定性分析 |
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| 引用本文： | 赵景军,徐阳,曹婉容.一类特殊比例方程的稳定性分析[J].系统仿真学报,2005,17(11):2598-2599,2615. |
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| 作者姓名： | 赵景军 徐阳 曹婉容 |
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| 作者单位： | 哈尔滨工业大学数学系,哈尔滨,150001 |
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| 基金项目： | 中国国家自然科学基金（10271036）. |
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| 摘 要： | 研究一类特殊比例方程的稳定性。通过系统变换给出了方程解析解渐近稳定的充分条件。进一步，引用一类变步长格式，证明了L-稳定的变步长Runge-Kutta方法将保持此类特殊比例方程的稳定性质。
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| 关 键 词： | 比例微分方程 微分代数方程 稳定性 数值方法 |
| 文章编号： | 1004-731X（2005）11-2598-02 |
| 收稿时间： | 2004-09-13 |
| 修稿时间： | 2004-09-132005-07-27 |
Stability Analysis for Special Kind of Pantograph Equation |
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| ZHAO Jing-jun,XU Yang,CAO Wan-rong.Stability Analysis for Special Kind of Pantograph Equation[J].Journal of System Simulation,2005,17(11):2598-2599,2615. |
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| Authors: | ZHAO Jing-jun XU Yang CAO Wan-rong |
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| Institution: | Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China |
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| Abstract: | The stability of a special kind of pantograph equation was studied. A sufficient condition of the asymptotic stability for the system was proposed through transformation. Furthermore, the variable stepsize was quoted. It is proved that the L -stable Runge-Kutta methods with variable stepsize preserve the stability of the equation. |
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| Keywords: | Pantograph Equation Differential Algebraic Equation Stability Numerical Method |
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