Abstract
Differential equations encountered in various applications can be interpreted as equations in graphs. Using the simplest properties of graphs, it is possible to investigate the behavior of solutions to differential equations. Boundary value problems on graphs are defined by function spaces defined on graphs and differential systems. This article discusses the transformation of a boundary value problem in a graph into a boundary value problem for a differential system. The differential equation in the graphs is redefined by transforming each edge of the graph into the interval (0, 1). The boundary conditions are then also transformed according to the interval to establish a connection between the initial boundary value problem and the newly obtained boundary value problem.