Periodic solutions of convolution type equations with monotone nonlinearity

Authors

  • S.N. Askhabov
    Chechen State University, Sheripov str. 32, 364907, Grozny, Russia

DOI:

https://doi.org/10.13108/2016-8-1-20

Keywords:

nonlinear convolution type equations, monotone operator, potential operator.

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 $L_p(-\pi,\pi)$.

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Published

20.03.2016