Stability analysis of linear multistep methods for neutral delay differential equations

被引：0
|
作者：
S K JAFFER
刘明珠
丁效华
机构：
[1] China
[2] Harbin 150001
[3] School of Mathematics
[4] School of Mathematics Harbin Institute of Technology
来源：
Journal of Harbin Institute of Technology(New series) | 2003年 / 02期
关键词：
linear multistep methods; neutral differential equations; Kreiss resolvent condition;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
The stability analysis of linear multistep (LM) methods is carried out under Kreiss resolvent condition when they are applied to neutral delay differential equations of the form y′(t)=ay(t)+by(t-τ)+ cy′(t- τ) y(t)=g(t) -τ≤t≤0 with τ>0 and a, b and c∈, and it is proved that the ‖B n‖ is suitably bounded, where B is the companion matrix.
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页码：168 / 170
页数：3
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