[en] A solution of two-dimensional problems of the wave diffraction on the discontinuities with segment-linear boundary has been obtained in a strong formulation of the integral equation methods. A system of integral equations of the second kind with continuous kernels allowing to analyse analytically a field behaviour near the corners of the boundaries is set up using the Green function of the parallel-plate waveguide. On this base general representations concerning peculiarities of the field behaviour near wedges are refined. Data characterizing an efficiency of the solution obtained are given. Electrodynamic, characteristics of the symmetrical and non-symmetrical E-coners are considered