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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/timm1802
https://www.mathnet.ru/eng/timm/v27/i1/p188
This publication is cited in the following 7 articles:
A. Kh. Khachatryan, Kh. A. Khachatryan, A. S. Petrosyan, “O konstruktivnoi razreshimosti odnogo klassa nelineinykh integralnykh uravnenii gammershteinovskogo tipa na vsei pryamoi”, Izv. vuzov. Matem., 2025, no. 3, 89–106
Kh. A. Khachatryan, A. S. Petrosyan, “Asimptoticheskoe povedenie resheniya dlya odnogo klassa nelineinykh integralnykh uravnenii tipa Gammershteina na vsei pryamoi”, SMFN, 68, no. 2, Rossiiskii universitet druzhby narodov, M., 2022, 376–391
Kh. A. Khachatryan, A. S. Petrosyan, “Voprosy suschestvovaniya i edinstvennosti resheniya odnogo klassa nelineinykh integralnykh uravnenii na vsei pryamoi”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 26:3 (2022) (to appear)
Kh. A. Khachatryan, H. S. Petrosyan, “On summable solutions of a class of nonlinear integral equations on the whole line”, Izv. Math., 86:5 (2022), 980–991
Kh. A. Khachatryan, A. S. Petrosyan, “Voprosy suschestvovaniya i edinstvennosti resheniya odnogo klassa nelineinykh integralnykh uravnenii na vsei pryamoi”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 26:3 (2022), 446–479
Kh. A. Khachatryan, H. S. Petrosyan, “On Summable Solutions to Two-Dimensional Volterra Integral Equations with Monotone Nonlinearity on a Quarter of the Plane”, J. Contemp. Mathemat. Anal., 57:5 (2022), 303
Kh. A. Khachatryan, A. S. Petrosyan, “O summiruemykh resheniyakh dvumernykh integralnykh uravnenii tipa Volterra s monotonnoi nelineinostyu na chetverti ploskosti”, Proceedings of NAS RA. Mathematics, 2022, 55
Citation in format AMSBIB
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