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.
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页码：827 / 845
页数：18
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