电邮这篇文章 ON THE MULTIPLICATIVE PROPERTY OF DEFINING POLYNOMIALS
- 作者: Abramov S.A1
-
隶属关系:
- Dorodnitsyn Computing Center, Federal Research Center Computer Science and Control, RAS
- 期: 卷 64, 编号 9 (2024)
- 页面: 1661-1666
- 栏目: Ordinary differential equations
- URL: https://ter-arkhiv.ru/0044-4669/article/view/665192
- DOI: https://doi.org/10.31857/S0044466924090067
- EDN: https://elibrary.ru/WKRNUK
- ID: 665192
如何引用文章
开放存取
##reader.subscriptionAccessGranted##
订阅存取
详细
The roots of the indicial polynomial constructed for a given linear ordinary differential operator provide information about the features of solutions of the corresponding homogeneous differential equation. Operators and equations whose coefficients are formal Laurent series are discussed. Solutions of the same kind are considered. These assumptions describe the structure of the indicial polynomial of the product of differential operators. This structural (multiplicative) property is preserved in the case of converging series.
作者简介
S. Abramov
Dorodnitsyn Computing Center, Federal Research Center Computer Science and Control, RAS
Email: sergeyabramov@mail.ru
Moscow, Russia
参考
- Коддингтон Э.А., Левинсон Н. Теория обыкновенных дифференциальных уравнений. М.: Изд-во иностр. лит., 1958.
- Туганбаев А.А. Теория колец. Арифметические модули и кольца. М.: МЦНМО, 2009.
- Картан А. Элементарная теория аналитических функций одного и нескольких комплексных переменных. М.: Изд-во иностр. лит., 1963.
- Henrici P. Applied and computational complex analysis. Vol. 1. John Willey & Sons, 1974.
- Abramov S. EG—eliminations // J. of Difference Equations and Applications. 1999. V 5. P. 393—433.
- Abramov S., Petkovsek M., Ryabenko A. Special formal series solutions of linear operator equations // Discrete Math. 2000. V 210. P 3-25.
- Maple online help: http://www.maplesoft.com/support/help/
补充文件
