Green’s Matrices for First Order Differential Systems with Nonlocal Conditions∗

Abstract

In this paper, we investigate the linear system of first order ordinary differential equations with nonlocal conditions. Green’s matrices, their explicit representations and properties are considered as well. We present the relation between the Green’s matrix for the system and the Green’s function for the differential equation. Several examples are also given.

Keywords

• differential problem
• nonlocal conditions
• Green’s matrix
• Green’s function