Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 1, Pages 22–28 (Mi vmumm4374)  
Mathematics

Specific asymptotic stability of solutions to a linear homogeneous Volterra integro-differential equation of the fourth order

S. Iskandarovab, E. A. Komartsovaca

a Institute of Mathematics of the National Academy of Sciences of the Kyrgyz Republic
b Kyrgyzstan-Turkey "MANAS" University, Bishkek
c Kyrgyz-Russian Slavic University, Bishkek
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Abstract: Sufficient conditions for asymptotic stability of solutions to a homogeneous fourth order linear integro-differential Volterra equation are established in the case when any nonzero solution to the corresponding homogeneous fourth order linear differential equation is not asymptotically stable. An illustrative example is presented.
Key words: integro-differential equation of Volterra type of the fourth order, asymptotic stability, specific feature.
Received: 23.02.2020
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 1, Pages 22–28
DOI: https://doi.org/10.3103/S0027132221010034
Bibliographic databases:
Document Type: Article
UDC: 517.968.72
Language: Russian
Citation: S. Iskandarov, E. A. Komartsova, “Specific asymptotic stability of solutions to a linear homogeneous Volterra integro-differential equation of the fourth order”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 1, 22–28; Moscow University Mathematics Bulletin, 76:1 (2021), 22–28
Citation in format AMSBIB
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