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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2021, Volume 27, Number 1, Pages 188–206
DOI: https://doi.org/10.21538/0134-4889-2021-27-1-188-206 (Mi timm1802) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Asymptotic behavior of a solution for one class of nonlinear integro-differential equations in the income distribution problem

A. Kh. Khachatryana, Kh. A. Khachatryanbcd, H. S. Petrosyanad

a National Agrarian University of Armenia
b Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
c Yerevan State University
d Lomonosov Moscow State University
Full-text PDF (291 kB) Citations (6)
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DOI: https://doi.org/10.21538/0134-4889-2021-27-1-188-206
Abstract: We study a class of nonlinear integro-differential equations of convolution type, which have direct application in econometrics. Some qualitative properties of the solution are studied: its asymptotic behavior, monotonicity, and smoothness. A specific example of an applied nature is given.
Keywords: wealth distribution, asymptotics, wavefront, solution limit, monotonicity.
Funding agency Grant number
Russian Science Foundation 19-11-00223
The research of the second and third authors was supported by the Russian Science Foundation (project no. 19-11-00223).
Received: 09.10.2020
Revised: 08.11.2020
Accepted: 11.01.2021
Bibliographic databases:
Document Type: Article
UDC: 517.968.4
MSC: 45G05
Language: Russian
Citation: A. Kh. Khachatryan, Kh. A. Khachatryan, H. S. Petrosyan, “Asymptotic behavior of a solution for one class of nonlinear integro-differential equations in the income distribution problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 27, no. 1, 2021, 188–206
Citation in format AMSBIB
\Bibitem{KhaKhaPet21}
\by A.~Kh.~Khachatryan, Kh.~A.~Khachatryan, H.~S.~Petrosyan
\paper Asymptotic behavior of a solution for one class of nonlinear integro-differential equations in the income distribution problem
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2021
\vol 27
\issue 1
\pages 188--206
\mathnet{http://mi.mathnet.ru/timm1802}
\crossref{https://doi.org/10.21538/0134-4889-2021-27-1-188-206}
\elib{https://elibrary.ru/item.asp?id=44827405}
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  • https://www.mathnet.ru/eng/timm/v27/i1/p188
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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