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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 4, Pages 3–11
(Mi vmj478)
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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
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
Citation:
S. N. Askhabov, “Nonlinear integral equations with potential type kernels on a semiaxis”, Vladikavkaz. Mat. Zh., 15:4 (2013), 3–11
Linking options:
https://www.mathnet.ru/eng/vmj478 https://www.mathnet.ru/eng/vmj/v15/i4/p3
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