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Banach空间中非线性刚性延迟微分方程线性多步法的数值稳定性

The Numerical Stability of Linear Multistep Methods for Nonlinear Stiff Delay Differential Equations in Banach Spaces
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摘要 讨论了Banach空间中非线性刚性延迟微分方程线性多步法的稳定性.对应用于Banach空间中试验问题类D(α,λ~*,β)和D(α,λ~*,δ,β)的一类线性多步法,获得其在无限时间区间的稳定性结果. This paper is devoted to a study of nonlinear stability properties of a class of linear multistep methods when applied to nonlinear stiff delay differential equations in Banach spaces. For the test problem classes D(α,λ*,β) and D(α,λ*,δ,β) in Banach spaces, a series of new stability results, which are independent of the length of time interval, are obtained.
作者 时秀娟
机构地区 仰恩大学数学系
出处 《喀什大学学报》 2017年第3期12-16,共5页 Journal of Kashi University
基金 福建省教育厅科技资助项目(JAT160593)
关键词 BANACH空间 延迟微分方程 稳定性 线性多步法 Banaeh space Delay differential equations Stability Linear multistep methods
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