On Singular Points of Linear Differential-Algebraic Equations with Perturbations in the Form of Integral Operators

Author:

Chistyakov V. F.1

Affiliation:

1. Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences

Abstract

The paper consideres linear systems of ordinary differential equations of arbitrary order with a matrix identically degenerate in the domain of definition at the highest derivative of the desired vector function and with loads in the form of Volterra and Fredholm integral operators. The initial value problems are formulated using projections onto admissible sets of initial vectors. Special attention is paid to systems having singular points on the interval of integration. The concept of a singular point is formalized. Their classification in the case of differential equations is given. A number of examples illustrating the theoretical results are presented.

Publisher

The Russian Academy of Sciences

Reference30 articles.

1. Бояринцев Ю.Е. Регулярные и сингулярные системы линейных обыкновенных дифференциальных уравнений. Новосибирск: Наука, 1980.

2. Чистяков В.Ф. Алгебро-дифференциальные операторы с конечномерным ядром. Новосибирск: Наука. Сиб. изд. фирма РАН, 1996.

3. Власенко Л.А. Эволюционные модели с неявными и вырожденными дифференциальными уравнениями. Днепропетровск: Системные технологии, 2006.

4. Lamour R., Marz R., Tischendorf C. Differential-Algebraic Equations: A Projector Based Analysis. Description: Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany, 2013.

5. Белов А.А. Дескрипторные системы и задачи управления / ред. А.А. Белов, А.П. Курдюков. М.: Физматлит, 2015. 270 с.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3