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

页码：392 / 403

页数：12

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