电邮这篇文章 AVERAGING OF INTEGRO-DIFFERENTIAL SYSTEMS OF EQUATIONS WITH MULTIPOINT BOUNDARY CONDITIONS CONDITIONS
- 作者: Levenshtam V.B.1,2,3, Yavaeva M.R.1
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隶属关系:
- Southern Federal University
- Gubkin Mathematical Institute named after V. L. Steklov RAS (V. L. Steklov Mathematical Institute Russian Academy of Sciences)
- Southern Mathematical Institute - Branch of the All-Russian Scientific Center of RAS
- 期: 卷 65, 编号 5 (2025)
- 页面: 665-672
- 栏目: Partial Differential Equations
- URL: https://rjpbr.com/0044-4669/article/view/686924
- DOI: https://doi.org/10.31857/S0044466925050057
- EDN: https://elibrary.ru/IGDKCA
- ID: 686924
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详细
In this paper we consider a system of integro-differential equations with rapidly time oscillating data and multipoint integral boundary conditions. The latter may depend explicitly on a large parameter ω — high frequency of oscillations of the initial system of equations. For this problem the limit problem at ω → ∞is constructed and the limit transition is justified. Thereby, the time averaging method, which is also called the Krylov–Bogoliubov averaging method, is justified for the above problem in this paper.
作者简介
V. Levenshtam
Southern Federal University; Gubkin Mathematical Institute named after V. L. Steklov RAS (V. L. Steklov Mathematical Institute Russian Academy of Sciences); Southern Mathematical Institute - Branch of the All-Russian Scientific Center of RAS
Email: vlevenshtam@yandex.ru
Rostov-on-Don, Russia; Moscow, Russia; Vladikavkaz, Russia
M. Yavaeva
Southern Federal University
Email: marinayavaeva@yandex.ru
Rostov-on-Don, Russia
参考
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- Bigirindavyi D., Levenshtam V.B. Justification of the averaging method for differential equations with multipoint boundary value problems // Springer Proceedings in Mathematics and Statistics. 2021. Vol. 357. P. 137–142.
- Симоненко И.Б. Обоснование метода осреднения для абстрактных параболических уравнений // Матем. сб. 1970. Т. 81(123).№1. С. 53–61.
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