Specific Asymptotic Stability of Solutions to a Linear Homogeneous Volterra Integro-Differential Equation of the Fourth Order

被引：0

作者：

Iskandarov, S. ^{[1
,2
]}

Komartsova, E. A. ^{[3
]}

机构：

[1] Natl Acad Sci Kyrgyz Republ, Inst Math, Bishkek 720071, Kyrgyzstan

[2] Kyrgyz Turkish Manas Univ, Bishkek 720044, Kyrgyzstan

[3] Kyrgyz Russian Slav Univ, Bishkek 720001, Kyrgyzstan

来源：

MOSCOW UNIVERSITY MATHEMATICS BULLETIN | 2021年 / 76卷 / 01期

关键词：

fourth-order Volterra-type integro-differential equation; asymptotic stability; specific feature;

D O I：

10.3103/S0027132221010034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sufficient conditions for the asymptotic stability of solutions to a fourth-order linear homogeneous Volterra integro-differential equation are established in the case where any nonzero solution to the corresponding linear homogeneous differential equation of the fourth order is not asymptotically stable. An illustrative example is given.

引用

页码：22 / 28

页数：7

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