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变延迟微分方程一般线性方法的非线性稳定性

Nonlinear Stability of General Linear Method for Delay Differential Equations with a Variable Delay
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摘要 讨论非线性变延迟微分方程初值问题一般线性方法的稳定性.对延迟量满足Lipschitz条件且最小Lipschitz常数小于1的一类方程获得带线性插值的一般线性方法的非线性稳定性结果. This paper is devoted to studying stability of general linear methods for delayed differential equations with a variable delay satisfying Lipschitz condition with the minimum Lipschitz constant L 〈 1 , and obtains some nonlinear stability results on general linear interpolation methods.
作者 董点 黄乘明
出处 《江西师范大学学报(自然科学版)》 CAS 北大核心 2006年第3期256-259,共4页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10101027)
关键词 变延迟微分方程 一般线性方法 非线性稳定性 delay differential equations general linear methods nonlinear stability
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参考文献6

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二级参考文献5

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