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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 4, Pages 3–11 (Mi vmj478)  

This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear integral equations with potential type kernels on a semiaxis

S. N. Askhabov

Chechen State University, Groznyi, Russia
Full-text PDF (153 kB) Citations (1)
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Abstract: In complex Lebesgue spaces, by method of monotone operators, theorems on existence, uniqueness and methods of finding solutions are proved for some classes of nonlinear integral equations with potential type kernels. Some estimations for the norms of solution and the rate of convergence of the Picard type successive approximations are obtained.
Key words: nonlinear integral equations, potential type operators, method of monotone operators.
Received: 28.12.2012
Document Type: Article
UDC: 517.968
Language: Russian
Citation: S. N. Askhabov, “Nonlinear integral equations with potential type kernels on a semiaxis”, Vladikavkaz. Mat. Zh., 15:4 (2013), 3–11
Citation in format AMSBIB
\Bibitem{Ask13}
\by S.~N.~Askhabov
\paper Nonlinear integral equations with potential type kernels on a~semiaxis
\jour Vladikavkaz. Mat. Zh.
\yr 2013
\vol 15
\issue 4
\pages 3--11
\mathnet{http://mi.mathnet.ru/vmj478}
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  • https://www.mathnet.ru/eng/vmj/v15/i4/p3
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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