Invertible linear ordinary differential operators

被引：3

作者：

Chetverikov, Vladimir N. ^{[1
]}

机构：

[1] Bauman Moscow State Tech Univ, Dept Math Modelling, Ul 2 Aja Baumanskaja,5, Moscow 107005, Russia

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2017年 / 113卷

关键词：

Invertible linear ordinary differential operators; Transformations of control systems; SYSTEMS;

D O I：

10.1016/j.geomphys.2016.06.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider invertible linear ordinary differential operators whose inversions are also differential operators. To each such operator we assign a numerical table. These tables are described in the elementary geometrical language. The table does not uniquely determine the operator. To define this operator uniquely some additional information should be added, as it is described in detail in this paper. The possibility of generalization of these results to partial differential operators is also discussed. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：10 / 27

页数：18

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