Evaluation of the Index and Singular Points of Linear Differential-Algebraic Equations of Higher Order

被引：0

作者：

Chistyakov V.F. ^{[1
]}

Chistyakova E.V. ^{[1
]}

机构：

[1] Institute of the Dynamics of Systems and Control Theory, Siberian Division of the Russian Academy of Sciences, Irkutsk

来源：

Journal of Mathematical Sciences | 2018年 / 231卷 / 6期

关键词：

D O I：

10.1007/s10958-018-3852-7

中图分类号：

学科分类号：

摘要：

We study linear systems of ordinary differential equations of higher order with an identically singular matrix at the higher derivative of the required vector-valued function in the domain of definition. We give definitions of the index and singular points for these systems, formulate the conditions of solvability, and deduce a formula for the general solution. The algorithms for finding the index and singular points are presented. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：827 / 845

页数：18

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