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Journal of Mathematical Sciences

, Volume 173, Issue 2, pp 155–171 | Cite as

Nonlinear singular integral equations in lebesgue spaces

  • S. N. Askhabov
Article

Abstract

By using the monotone (in the Browder–Minty sense) operator method, the nonlocal theorems of existence and uniqueness of solution for various classes of nonlinear singular integral equations in real and complex Lebesgue spaces with general weight are proved. Estimates for the norm of solutions are obtained.

Keywords

Composition Operator Monotone Operator Singular Integral Equation Lebesgue Space Inverse Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Chechen State UniversityGroznyiRussia

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