Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 3, Pages 62–64
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-3-10 (Mi vmumm4542) 		 
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Method of Lyapunov functionals for a first order linear Volterra integro-differential equation with delay on a semiaxis

S. Iskandarovab, A. Khalilova

a Institute of Mathematics of the National Academy of Sciences of the Kyrgyz Republic
b Kyrgyzstan-Turkey "MANAS" University, Bishkek
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-3-10
Abstract: Sufficient conditions are established to ensure the estimation, boundedness, power-law absolute integrability on the semiaxis, the tendency to zero under the tendency to infinity of the independent variable of all solutions of the linear Volterra integrodifferential equation of the first order with delay. For this purpose, a generalized Lyapunov functional is constructed. An illustrative example is presented.
Key words: Volterra integrodifferential equation of the first order, argument lag, estimation, boundedness, absolute integrability, tending to zero of solutions, generalized method of Lyapunov functionals.
Received: 08.07.2022
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 3, Pages 150–152
DOI: https://doi.org/10.3103/S002713222303004X
Bibliographic databases:
Document Type: Article
UDC: 517.968.72
Language: Russian
Citation: S. Iskandarov, A. Khalilov, “Method of Lyapunov functionals for a first order linear Volterra integro-differential equation with delay on a semiaxis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 3, 62–64; Moscow University Mathematics Bulletin, 78:3 (2023), 150–152
Citation in format AMSBIB
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\by S.~Iskandarov, A.~Khalilov
\paper Method of Lyapunov functionals for a first order linear Volterra integro-differential equation with delay on a semiaxis
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 3
\pages 62--64
\mathnet{http://mi.mathnet.ru/vmumm4542}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-3-10}
\zmath{https://zbmath.org/?q=an:7741296}
\elib{https://elibrary.ru/item.asp?id=53868408}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 3
\pages 150--152
\crossref{https://doi.org/10.3103/S002713222303004X}
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