On the Properties of Rings of Integro-Differential Operators and Their Corresponding Equations

被引：0

作者：

Chistyakov, V. F. ^{[1
]}

机构：

[1] Russian Acad Sci, Matrosov Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664048, Russia

来源：

MATHEMATICAL NOTES | 2022年 / 112卷 / 1-2期

关键词：

integro-differential equations; degenerate equations; index; ring;

D O I：

10.1134/S0001434622070331

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with systems of linear integro-differential equations, including systems with a matrix identically degenerate in the domain at the highest derivative of the unknown vector function. A theorem on the solvability of such systems of equations is proved. On the basis of this theorem, it is shown that the ring of operators corresponding to these systems contains the semigroup of operators for which a left inverse operator from this ring is found.

引用

页码：303 / 308

页数：6

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