ON THE INFLUENCE OF INTEGRAL PERTURBATIONS ON THE BOUNDEDNESS OF SOLUTIONS OF A FOURTH-ORDER LINEAR DIFFERENTIAL EQUATION

被引：0

作者：

Iskandarov, Samandar ^{[1
,2
]}

Komartsova, Elena ^{[3
]}

机构：

[1] Natl Acad Sci Kyrgyzstan, Inst Math, Lab Theory Integrodifferential Equat, Bishkek, Kyrgyzstan

[2] Kyrgyz Turkish Manas Univ, Bishkek, Kyrgyzstan

[3] Kyrgyz Russian Slav Univ, Bishkek, Kyrgyzstan

来源：

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 13卷 / 01期

关键词：

integro-differential equation; differential equation; boundedness of solutions; influence of integral perturbations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions for the boundedness on the half-axis of all solutions of the fourth-order linear Volterra integro-differential equation are established. Moreover, it is shown that the corresponding linear homogeneous and inhomogeneous differential equations can have unbounded solutions on the half-axis. Illustrative examples are given.

引用

页码：3 / 9

页数：7

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