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Specific Asymptotic Stability of Solutions to a Linear Homogeneous Volterra Integro-Differential Equation of the Fourth Order
Moscow University Mathematics Bulletin Pub Date : 2021-07-07 , DOI: 10.3103/s0027132221010034
S. Iskandarov 1, 2 , E. A. Komartsova 3
Affiliation  

Abstract

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.



中文翻译:

四阶线性齐次 Volterra 积分微分方程解的特定渐近稳定性

摘要

在相应的四阶线性齐次微分方程的任何非零解不是渐近稳定的情况下,建立了四阶线性齐次 Volterra 积分微分方程解的渐近稳定性的充分条件。给出了一个说明性的例子。

更新日期:2021-07-08
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