| θ-方法求解广义延时微分方程系统的GP-稳定性 |
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| 引用本文： | 丛玉豪,项家祥.θ-方法求解广义延时微分方程系统的GP-稳定性[J].应用数学,2005,18(3):497-504. |
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| 作者姓名： | 丛玉豪 项家祥 |
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| 作者单位： | 1. 上海师范大学数学系,上海,200234;上海高校计算科学E-研究院,上海,200234
2. 上海师范大学数学系,上海,200234 |
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| 基金项目： | The National Natures Science Foundation (10171067) ;E-Institutes of Shanghai Municipal Education Commission (E03004);Shanghai Municipal Education Commission (04DB07) and the Special Funds for Major Specialties of Shanghai Education Committee |
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| 摘 要： | 本文研究了用θ方法求解广义延时微分方程系统的GP 稳定性,分析了θ方法的稳定性型态.证明了基于Lagrange插值的θ方法是GP 稳定的当且仅当1/2≤θ≤1.单支θ方法是GP 稳定的当且仅当θ=1.
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| 关 键 词： | 广义延时微分方程 θ-方法 GP-稳定性 |
| 文章编号： | 1001-9847(2005)03-0497-08 |
| 修稿时间： | 2004年11月25 |
GP-stability of θ-method for Generalized Delay Differential Systems |
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| CONG Yu-hao,XIANG Jia-xiang.GP-stability of θ-method for Generalized Delay Differential Systems[J].Mathematica Applicata,2005,18(3):497-504. |
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| Authors: | CONG Yu-hao XIANG Jia-xiang |
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| Abstract: | The GP-stability of θ- methods for the numerical solution of systems of delay differential equations is considered,the stability behavior of θ- methods in analyzed for multiple delay terms. We prove that θ- methods with the Lagrange interpolation process is GP-stable if and only if 1/2 ≤θ≤1. The one-leg θ- methods is GP-stable if and only if θ = 1. |
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| Keywords: | Generalized delay differential system θ- methods GP-stability |
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