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«ИЗВЕСТИЯ ИРКУТСКОГО ГОСУДАРСТВЕННОГО УНИВЕРСИТЕТА». СЕРИЯ «МАТЕМАТИКА»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

Список выпусков > Серия «Математика». 2024. Том 47

Асимптотики спектральных данных краевых задач четвертого порядка

Автор(ы)
Н. П. Бондаренко1

1Саратовский государственный университет, Саратов, Российская Федерация

Аннотация
В работе получены точные асимптотики спектральных данных (собственных значений и весовых чисел) линейного дифференциального уравнения четвертого порядка с коэффициентом-распределением и тремя типами распадающихся краевых условий. Методы исследования опираются на недавние результаты, касающиеся регуляризации и асимптотического анализа для дифференциальных операторов высших порядков с коэффициентами-распределениями. Результаты исследования имеют приложения в теории обратных спектральных задач, а также самостоятельное значение.
Об авторах
Бондаренко Наталья Павловна, д-р физ.-мат. наук, доц., Саратовский государственный университет, Саратов, 410012, Российская Федерация, bondarenkonp@sgu.ru
Ссылка для цитирования
Bondarenko N. P. Spectral Data Asymptotics for FourthOrder Boundary Value Problems // Известия Иркутского государственного университета. Серия Математика. 2024. Т. 47. C. 31–46. https://doi.org/10.26516/1997-7670.2024.47.31
Ключевые слова
дифференциальные операторы четвертого порядка, коэффициенты-распределения, асимптотики собственных значений, весовые числа
УДК
517.984
MSC
34L20, 34B09, 34B05, 34E05, 46F10
DOI
https://doi.org/10.26516/1997-7670.2024.47.31
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