Мақаланы E-mail арқылы жіберу ON THE MULTIPLICATIVE PROPERTY OF DEFINING POLYNOMIALS
- Авторлар: Abramov S.A1
-
Мекемелер:
- Dorodnitsyn Computing Center, Federal Research Center Computer Science and Control, RAS
- Шығарылым: Том 64, № 9 (2024)
- Беттер: 1661-1666
- Бөлім: Ordinary differential equations
- URL: https://rjonco.com/0044-4669/article/view/665192
- DOI: https://doi.org/10.31857/S0044466924090067
- EDN: https://elibrary.ru/WKRNUK
- ID: 665192
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
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.
Авторлар туралы
S. Abramov
Dorodnitsyn Computing Center, Federal Research Center Computer Science and Control, RAS
Email: sergeyabramov@mail.ru
Moscow, Russia
Әдебиет тізімі
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- 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.
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- 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/
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