On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with Involution

Abstract

In this paper, a multipoint boundary value problem for systems of integro-differential equations with involution has been studied. To solve the studied problem, the parameterization method is used. Based on the parametrization method, the studied problem is decomposed into two parts, i.e., into the Cauchy problem and a system of linear equations. Necessary and sufficient conditions for the unique solvability of the studied problem are determined.

Keywords

• multipoint boundary value problem
• integro-differential equations
• involution
• parametrization method
• loaded equations