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Explicit Formulas for the Coefficients in the Lappo-Danilevsky Solution of Linear Ordinary Differential Equationsстатья
Информация о цитировании статьи получена из
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Дата последнего поиска статьи во внешних источниках: 1 октября 2025 г.
- Автор: Golubkov A.A.
- Журнал: Differential Equations
- Том: 61
- Номер: 4
- Год издания: 2025
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 415
- Последняя страница: 425
- DOI: 10.1134/S0012266125040019
- Аннотация: I. A. Lappo-Danilevsky in particular studied the solutions of a system of linearordinary differential equations in a neighborhood of an isolated pole of arbitrary finite order. Forthe fundamental solution matrix of such a system, a series absolutely convergent in a punctured(annular) neighborhood of the pole was obtained; for the numerical coefficients of this series,which are independent of the type of the system of equations, recursion relations of a ratherinvolved form were found. The present paper is the first to obtain closed-form expressions forthese coefficients. By way of example, the results are used to find the trace of the monodromymatrix of an arbitrary regular singular point (first-order pole) of the system of equations inquestion in the form of a series that is an entire function of the entries of the constant matrix. Ссылка для чтения статьи: https://rdcu.be/eCnQ8
- Добавил в систему: Голубков Андрей Александрович