The book solves integral equations with kernels depending on the difference in arguments, as well as some boundary value problems of mathematical physics, which boil down to such integral equations. The main research method is to reduce analytical functions to boundary value problems. The book is based on a course of lectures that the authors gave to students of the Belarusian, Odessa and Simferopol universities. Much attention is paid to the availability of presentation. Almost the entire book is available to persons who do not have functional analysis.