A Particular Solution for Higher Order Non-homogeneous Discrete Cauchy-Euler Equations
摘要
In this paper, we introduce a nonstandard’s method to find a particular solution for non-homogeneous discrete Cauchy-Euler equations of higher order. The proposed method uses a new concept called atoms on discrete sets. This method provides an explicit particular solution for non-homogeneous discrete Cauchy-Euler equations whose characteristic equations have distinct roots.