Exact Solution to Systems of Linear First-Order Integro-Differential Equations with Multipoint and Integral Conditions

Abstract

This paper is devoted to the study of nonhomogeneous systems of linear first-order ordinary integro-differential equations of Fredholm type with multipoint and integral boundary constraints. Sufficient conditions for the solvability and correctness of the problem are established and the unique solution is provided in closed-form. The approach followed is based on the extension theory of operators. © 2019, Springer Nature Switzerland AG.