ON THE CAS-SEMI-HOMOGENOUS SYSTEM OF TWO-DIMENSIONAL DIFFERENCE EQUATIONS

In the study of difference equations, we use the Casoratian determinant as a mathematical tool to analyze the linear independence between solutions.Similar to the Wronskian determinant in ordinary differential equations, it caters to difference equations that rely on discrete points.In this papaer, we discuss the use of the Casoratian determinant to classify homogeneous systems of difference equations, as well as introduce a new definition of semihomogeneous systems, called Cas-Semi-Homogenous.