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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 3, Pages 5–18
DOI: https://doi.org/10.33048/SIBJIM.2021.24.301 (Mi sjim1138) 		 
This article is cited in 4 scientific papers (total in 4 papers)

System of integro-differential equations of convolution type with power nonlinearity

S. N. Askhabovab

a Chechen State Pedagogical University, pr. Isaeva 62, Grozny 364068, Russia
b Chechen State University, ul. Sheripova 32, Grozny 364024, Russia
Full-text PDF (561 kB) Citations (4)
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DOI: https://doi.org/10.33048/SIBJIM.2021.24.301
Abstract: The method of weighted metrics in the cone of the space of continuous functions is used to prove a global theorem on the existence and uniqueness of a nonnegative nontrivial solution for a system of integro-differential equations of convolution type with power nonlinearity. It is shown that the solution can be found by the method of successive approximations of the Picard type and exact a priori estimates are obtained for it.
Keywords: system of integro-differential equations, convolution, power nonlinearity.
Funding agency Grant number
Russian Foundation for Basic Research 18-41-200001
Ministry of Science and Higher Education of the Russian Federation 075-03-2021-071
The author was supported by the Russian Foundation for Basic Research (project no. 18-41-200001) and the State Task on the Project “Nonlinear Singular Integro-Differential Equations and Boundary Value Problems” (Agreement no. 075-03-2021-071, December 29, 2020).
Received: 24.02.2021
Revised: 22.04.2021
Accepted: 24.06.2021
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 3, Pages 365–375
DOI: https://doi.org/10.1134/S1990478921030017
Document Type: Article
UDC: 517.968.74
Language: Russian
Citation: S. N. Askhabov, “System of integro-differential equations of convolution type with power nonlinearity”, Sib. Zh. Ind. Mat., 24:3 (2021), 5–18; J. Appl. Industr. Math., 15:3 (2021), 365–375
Citation in format AMSBIB
\Bibitem{Ask21}
\by S.~N.~Askhabov
\paper System of integro-differential equations of convolution type with power nonlinearity
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 3
\pages 5--18
\mathnet{http://mi.mathnet.ru/sjim1138}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.301}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 3
\pages 365--375
\crossref{https://doi.org/10.1134/S1990478921030017}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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