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Journal of Mathematical Sciences

, Volume 235, Issue 4, pp 375–391 | Cite as

Nonlinear Integral Equations with Potential-Type Kernels on a Segment

  • S. N. Askhabov
Article
  • 13 Downloads

Abstract

We study various classes of nonlinear equations containing operators of potential type (Riesz potential). By the method of monotone operators in the Lebesgue spaces of real-valued functions Lp(a, b) we prove global theorems on the existence, uniqueness, estimates, and methods of construction of their solutions. We present applications that illustrate the results obtained.

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Chechen State UniversityGroznyRussia

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