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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 10, Pages 1793–1802 (Mi zvmmf4948)  
This article is cited in 9 scientific papers (total in 9 papers)

On the solvability of a nonlinear integro-differential equation arising in the income distribution problem

A. Kh. Khachatryan, Kh. A. Khachatryan

Institute of Mathematics, National Academy of Sciences of Armenia, ul. Marshala Bagramyana 24a, Erevan, 0019 Armenia
Full-text PDF (225 kB) Citations (9)
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Abstract: A class of the Hammerstein nonlinear integro-differential equations arising in the theory of income distribution is considered. The existence of solutions to these equations in the Sobolev space is proved. An application model described by such an equation is considered, and an algorithm for its solution is proposed. Numerical results are also presented.
Key words: Hammerstein nonlinear integro-differential equation, income distribution problem, analytical-numerical solution method, existence theorem.
Received: 16.03.2010
Revised: 27.04.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 10, Pages 1702–1711
DOI: https://doi.org/10.1134/S0965542510100064
Bibliographic databases:
Document Type: Article
UDC: 519.642.2
Language: Russian
Citation: A. Kh. Khachatryan, Kh. A. Khachatryan, “On the solvability of a nonlinear integro-differential equation arising in the income distribution problem”, Zh. Vychisl. Mat. Mat. Fiz., 50:10 (2010), 1793–1802; Comput. Math. Math. Phys., 50:10 (2010), 1702–1711
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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