Multistep Methods for Second-Order Differential-Algebraic Equations

被引：0
|
作者：
Bulatov, M. V. [1 ]
Solovarova, L. S. [1 ]
机构：
[1] Russian Acad Sci, Matrosov Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664033, Russia
来源：
DIFFERENTIAL EQUATIONS | 2023年 / 59卷 / 03期
关键词：
SYSTEMS;
D O I：
10.1134/S0012266123030102
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the initial value problem for linear systems of second-order ordinarydifferential equations with an identically singular matrix multiplying the principal part. Sufficientconditions for the existence of a unique solution are given in terms of matrix polynomials. Forsuch problems, multistep difference schemes are proposed. An analysis of their stability andcalculations of a model example are carried out.
引用
收藏
页码：392 / 403
页数：12
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