On the solvability of a functional boundary-value problem for a quasidifferential equation with measures as coefficients

Abstract

We consider a functional boundary-value problem for a quasidifferential equation in general case with the number of boundary conditions not coinciding with the order of the equation. We obtain necessary and sufficient conditions for the existence and uniqueness of a solution of such boundary-value problem using a method of pseudo-inverse by Moore-Penrose matrices. We represent the solutions in the integral form by the Green matrix.