ON REGULARIZATION OF AN INTEGRO-DIFFERENTIAL BOUNDARY VALUE PROBLEM UNSOLVED WITH RESPECT TO THE DERIVATIVE, BY PERTURBING THE BOUNDARY CONDITION
摘要
Constructive conditions for regularizing a linear Noetherian integro-differential boundary value problem for a Fredholm-type equation with a degenerate kernel unsolved with respect to the derivative and a scheme for finding its solutions have been found. The generating system for such an equation is a differential-algebraic system with a rectangular matrix at the derivative, the solution of which depends on an arbitrary continuous vector function.