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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2016 Volume 8, Issue 1, Pages 22–37 (Mi ufa313)

This article is cited in 2 papers

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.

UDC: 517.968

MSC: 45G10, 47H05

Received: 05.07.2015


 English version:
Ufa Mathematical Journal, 2016, 8:1, 20–34

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© Steklov Math. Inst. of RAS, 2025