A particular solution of a higher-order non-homogeneous Cauchy-Euler equation
Analysis of PDEs
2026-04-14 v1
Abstract
In this paper we introduce a new concept of atoms on discrete sets to develop an advanced method to find a particular solution for higher-order non-homogeneous Cauchy-Euler equations. The proposed method provides also an approximate solution by using approximate roots for the characteristic polynomial of the Cauchy-Euler equation.
Cite
@article{arxiv.2604.09778,
title = {A particular solution of a higher-order non-homogeneous Cauchy-Euler equation},
author = {Miloud assal and Skander Belhaj},
journal= {arXiv preprint arXiv:2604.09778},
year = {2026}
}