一类线性多步法求解Banach空间中非线性刚性DDEs的渐近稳定性

Asymptotic Stability of Linear Multistep Methods for Nonlinear Stiff Delay Differential Equations in Banach Spaces

讨论线性多步法关于Banach空间中非线性刚性延迟微分方程稳定性.对于试验问题类D(α,λ~*,β)和D(α,λ~*,δ,β),获得了一类线性多步法的渐近稳定性结果.

This paper is concerned with the asymptotic stability of linear multistep methods for nonlinear stiff delay differential equations in Banach spaces.For the test problem classes D(α,λ~*,β) and D(α,λ~*,δ,β),a series of new asymptotic stability results of the linear multistep methods are obtained.