We consider boundary integral equations of the first kind with logarithmic kernels on smooth closed or open contours in R2. Instead of solving the first kind equations directly, we propose a fully ...

Hilbert-type integral inequalities form an essential class of inequalities in mathematical analysis that originate from the classical inequality introduced by David Hilbert. These inequalities have ...

The purpose of this paper is to illustrate the applicability of topological and monotonicity methods to the solution of nonlinear integro-differential equations of Barbashin type. Such equations arise ...