Averaging in Boundary-Value Problems for Systems of Differential and Integrodifferential Equations

被引：0

作者：

A. N. Stanzhitskii

S. T. Mynbayeva

N. A. Marchuk

机构：

[1] T. Shevchenko Kiev National University,

[2] Zhubanov Aktyubinsk Regional State University,undefined

[3] Institute of Mathematics and Mathematical Modelling,undefined

[4] Podol’skii Agrarian-Technical University,undefined

来源：

Ukrainian Mathematical Journal | 2020年 / 72卷

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摘要：

The averaging method is applied to the investigation of the problem of existence of solutions of boundary-value problems for systems of differential and integrodifferential equations. It is shown that if the averaged boundary-value problem has a solution, then the original problem also has a solution. Note that, in this case, the system obtained as a result of averaging of a system of integrodifferential equations has the form of a simpler system of ordinary differential equations.

引用

页码：277 / 301

页数：24

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