On the Approximate Solution of a Class of Nonlinear Multidimensional Weakly Singular Integral Equations

Abstract

© 2020, Pleiades Publishing, Ltd. Abstract: In this work, for a class of nonlinear weakly singular integral equations defined in the space of quadratically summable functions in a circle, the rationale for the general projection method is given. Using the obtained general results, the convergence of the well-known Galerkin method is proved.