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On a Problem Arising in Application of the Re-Quantization Method to Construct Asymptotics of Solutions to Linear Differential Equations with Holomorphic Coefficients at Infinityстатья
Информация о цитировании статьи получена из
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 12 января 2022 г.
- Авторы: Korovina M.V., Smirnov I.N., Smirnov V.
- Журнал: Mathematical and Computational Applications
- Том: 24
- Номер: 1
- Год издания: 2019
- Издательство: MDPI
- Местоположение издательства: Basel, Switzerland
- Первая страница: 16
- DOI: 10.3390/mca24010016
- Аннотация: The re-quantization method—one of the resurgent analysis methods of current importance—is developed in this study. It is widely used in the analytical theory of linear differential equations. With the help of the re-quantization method, the problem of constructing the asymptotics of the inverse Laplace–Borel transform is solved for a particular type of functions with holomorphic coefficients that exponentially grow at zero. Two examples of constructing the uniform asymptotics at infinity for the second- and forth-order differential equations with the help of the re-quantization method and the result obtained in this study are considered.
- Добавил в систему: Смирнов Илья Николаевич