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Bibliographic Details
Main Authors: assal, Miloud, Belhaj, Skander
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.09778
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author assal, Miloud
Belhaj, Skander
author_facet assal, Miloud
Belhaj, Skander
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_09778
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A particular solution of a higher-order non-homogeneous Cauchy-Euler equation
assal, Miloud
Belhaj, Skander
Analysis of PDEs
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.
title A particular solution of a higher-order non-homogeneous Cauchy-Euler equation
topic Analysis of PDEs
url https://arxiv.org/abs/2604.09778