Properties of Degenerate Systems of Linear Integro-Differential Equations and Initial Value Problems for These Equations-Reference-Cited by-同舟云学术

Properties of Degenerate Systems of Linear Integro-Differential Equations and Initial Value Problems for These Equations

Published:2023-01-15 Issue:1 Volume:59 Page:15-29
ISSN:0374-0641
Container-title:Дифференциальные уравнения
language:
Short-container-title:Differencialʹnye uravneniâ

Author:

Chistyakov V. F¹,Chistyakova E. V¹

Affiliation:

1. Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033, Russia

Abstract

We consider systems of higher order integro-differential equations in which the matrix multiplying the highest derivative of the unknown vector function is identically singular in the domain where the system is considered. We give criteria for the solvability of such systems and initial value problems for these systems as well as examples illustrating the theoretical results.

Publisher

The Russian Academy of Sciences

Reference24 articles.

1. Lamour R., M"arz R., Tischendorf C. Differential-Algebraic Equations: a Projector Based Analysis. Berlin, 2013.

2. Чистяков В.Ф. Алгебро-дифференциальные операторы с конечномерным ядром. Новосибирск, 1996.

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

4. Белов А.А. Дескрипторные системы и задачи управления. М., 2015.

5. Бояринцев Ю.Е., Чистяков В.Ф. Алгебро-дифференциальные системы. Методы решения и исследования. Новосибирск, 1998.