3 papers
math.AP2026
A particular solution of a higher-order non-homogeneous Cauchy-Euler equation
Miloud assal, Skander Belhaj
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 equatio…
math.CA2017
A New Ring Theory Approach For Solving Cauchy-Euler differential Equations of Several Variables
Miloud Assal, Nasr Zeyada
In this article, we present an innovative method to find particular solutions of the non-homogeneous Cauchy-Euler equations in several variables and Sturm-Liouville equations. The…
math.RA2017
Modules Over the Ring of Ponderation functions with Applications to a Class of Integral Operators
Miloud Assal, Nasr A. Zeyada
In this paper we introduce new modules over the ring of ponderation functions, so we recover old results in harmonic analysis from the side of ring theory. Moreover, we prove that…