Mots-clés : wavefront, solution limit
@article{TIMM_2021_27_1_a17,
author = {A. Kh. Khachatryan and Kh. A. Khachatryan and H. S. Petrosyan},
title = {Asymptotic behavior of a solution for one class of nonlinear integro-differential equations in the income distribution problem},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {188--206},
year = {2021},
volume = {27},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2021_27_1_a17/}
}
TY - JOUR AU - A. Kh. Khachatryan AU - Kh. A. Khachatryan AU - H. S. Petrosyan TI - Asymptotic behavior of a solution for one class of nonlinear integro-differential equations in the income distribution problem JO - Trudy Instituta matematiki i mehaniki PY - 2021 SP - 188 EP - 206 VL - 27 IS - 1 UR - http://geodesic.mathdoc.fr/item/TIMM_2021_27_1_a17/ LA - ru ID - TIMM_2021_27_1_a17 ER -
%0 Journal Article %A A. Kh. Khachatryan %A Kh. A. Khachatryan %A H. S. Petrosyan %T Asymptotic behavior of a solution for one class of nonlinear integro-differential equations in the income distribution problem %J Trudy Instituta matematiki i mehaniki %D 2021 %P 188-206 %V 27 %N 1 %U http://geodesic.mathdoc.fr/item/TIMM_2021_27_1_a17/ %G ru %F TIMM_2021_27_1_a17
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 Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 1, pp. 188-206. http://geodesic.mathdoc.fr/item/TIMM_2021_27_1_a17/
[1] Sargan I.D., “The distribution of wealth”, Econometrics, 25:4 (1957), 568–590 | DOI | MR | Zbl
[2] Bellman R., Kuk K.L., Differentsialno-raznostnye uravneniya, Mir, M., 1967, 548 pp.
[3] Mondelbrot B., “The Pareto-Levy law and distribution of income”, Int. Economic Rev., 1:2 (1960), 79–106 | DOI
[4] Champernowne D.G., “A model of income distribution”, Economic J., 63:250 (1953), 318–351 | DOI
[5] Chen Yu, Liao Yujie, Zhang Qi and Zhang Weiping, “Ruin probabilities for the phase-type dual model perturbed by diffusion”, Communications in Statistics - Theory and Methods, 2020, 1–19 | DOI
[6] Daliri Birjandi M.H., Saberi-Nadjafi J., Ghorbani A., “An efficient numerical method for a class of nonlinear Volterra integro-differential equations”, J. Appl. Math., 2018, 7461058, 7 pp. | DOI | MR | Zbl
[7] Khachatryan A.Kh., Khachatryan Kh.A., “Ob odnom integro-differentsialnom uravnenii v zadache raspredeleniya bogatstva strany”, Ekonomika i mat. metody TsEMI RAN, 45:4 (2009), 84–96
[8] Khachatryan A.Kh., Khachatryan Kh.A., “O razreshimosti odnogo nelineinogo integro-differentsialnogo uravneniya v zadache raspredeleniya dokhoda”, Zhurn. vychislit. matematiki i mat. fiziki, 50:10 (2010), 1793–1802 | MR | Zbl
[9] Khachatryan A.Kh., Khachatryan Kh.A., “On solvability of a nonlinear problem in theory of income distribution”, Eurasian Math. J., 2:2 (2011), 75–88 | MR | Zbl
[10] Kolmogorov A.N., Fomin V.S., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1980, 542 pp. | MR
[11] Khachatryan Kh.A., Petrosyan A.S., “O razreshimosti odnogo klassa nelineinykh integralnykh uravnenii Gammershteina - Stiltesa na vsei pryamoi”, Tr. MIAN, 308 (2020), 253–264 | Zbl
[12] Diekmann O., “Thresholds and travelling waves for the geographical spread of infection”, J. Math. Biol., 6:2 (1978), 109–130 | DOI | MR | Zbl
[13] Diekmann O., “Run for your life. A note on the asymptotic speed of propagation of an epidemic”, J. Diff. Eq., 33:1 (1979), 58–73 | DOI | MR | Zbl
[14] Diekmann Odo, Kaper Hans G., “On the bounded solutions of a nonlinear convolution equation”, Nonlinear Analysis: Theory, Methods Application, 2:6 (1978), 721–737 | DOI | MR | Zbl
[15] Diekmann Odo, Gyllenberg Mats, “Equations with infinite delay: blending the abstract and the concrete”, J. Diff. Eq., 252:2 (2012), 819–851 | DOI | MR | Zbl
[16] Budak B.M., Fomin S.V., Kratnye integraly i ryady, Nauka, M., 1965, 608 pp. | MR
[17] Gevorkyan G.G., Engibaryan N.B., “Novye teoremy dlya integralnogo uravneniya vosstanovleniya”, Izv. NAN Armenii. Matematika, 32:1 (1997), 5–20 | MR | Zbl
[18] Engibaryan N.B., “Uravneniya vosstanovleniya na poluosi”, Izv. RAN. Ser. matematicheskaya, 63:1 (1999), 61–76 | MR | Zbl
[19] Rudin U., Funktsionalnyi analiz, Mir, M., 1975, 444 pp.
[20] Polia G. , Sege G., Zadachi i teoremy iz analiza, Ch. 1, Nauka, M., 1978, 392 pp. | MR