On solutions of one class of linear integro-differential equations

Abstract

In connection with the study of branching points of nonlinear integro-differential equations, to the solution of which the problem of longitudinal bending of a rod is reduced, N. N. Nazarov proposed to study the integro-differential equation (1) (see article). ... This article proposes a simple method for solving equation (1), which leads to the need to solve one Fredholm integral equation and one algebraic system, the number of unknowns of which does not exceed m (see article).