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

被引：3

作者：

Stanzhitskii, A. N. ^{[1
]}

Mynbayeva, S. T. ^{[2
]}

Marchuk, N. A. ^{[3
]}

机构：

[1] T Shevchenko Kiev Natl Univ, Kiev, Ukraine

[2] Zhubanov Aktyubinsk Reg State Univ, Aktobe, Kazakhstan

[3] Podolskii Agr Tech Univ, Kamenets Podolskii, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2020年 / 72卷 / 02期

关键词：

D O I：

10.1007/s11253-020-01781-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：25

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