- PII
- 10.31857/S0032823523050119-1
- DOI
- 10.31857/S0032823523050119
- Publication type
- Status
- Published
- Authors
- Volume/ Edition
- Volume 87 / Issue number 5
- Pages
- 757-764
- Abstract
- This article is dedicated to the memory of L.D. Akulenko, with whom the author of the article worked for more than 40 years. Within the framework of the accelerated convergence method developed jointly, a number of classes of problems related to the Sturm–Liouville problems were solved. Based on the research results, several dozen articles and a generalizing monograph [1] were published. In this paper, we describe the adaptation of the method to solving singular Sturm–Liouville problems.
- Keywords
- метод ускоренной сходимости задача Штурма–Лиувилля сингулярность
- Date of publication
- 01.05.2023
- Year of publication
- 2023
- Number of purchasers
- 0
- Views
- 34
References
- 1. Akulenko L.D., Nesterov S.V. High-Precision Methods in Eigenvalue Problems and Their Applications. Boca Raton: Chapman&Hall/CRC Press, 2005. 255 p.
- 2. Ratneswar S.G., Ranjit Gh. Method of perturbation applied to the vibration problem of a circular membrane of varying density // JASA. 1964. V. 36. № 6. P. 1118–1120.
- 3. Сретенский Л.Н. Теория волновых движений жидкости. М.: Наука, 1977. 816 с.
- 4. Нестеров С.В., Байдулов В.Г. Использование метода ускоренной сходимости в сингулярных задачах Штурма–Лиувилля // Сб. матер. 13-й международной конференции – школы молодых ученых “Волны и вихри в сложных средах”, Москва, 30 ноября–02 декабря 2022. С. 194–195.
