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This article is cited in 1 scientific paper (total in 1 paper)
Periodic solutions of convolution type equations with monotone nonlinearity
S. N. Askhabov Chechen State University, Sheripov str. 32, 364907, Grozny, Russia
Abstract:
By the method of monotone operators we establish theorems on global existence and uniqueness, as well as estimats and methods of finding the solutions for various classes of nonlinear convolution type integral equations in the real space of $2\pi$-periodic functions $L_p(-\pi,\pi)$.
Keywords:
nonlinear convolution type equations, monotone operator, potential operator.
Received: 05.07.2015
Citation:
S. N. Askhabov, “Periodic solutions of convolution type equations with monotone nonlinearity”, Ufimsk. Mat. Zh., 8:1 (2016), 22–37; Ufa Math. J., 8:1 (2016), 20–34
Linking options:
https://www.mathnet.ru/eng/ufa313https://doi.org/10.13108/2016-8-1-20 https://www.mathnet.ru/eng/ufa/v8/i1/p22
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