**Skander Belhaj**

University of Tunis El Manar, ENIT-LAMSIN, Tunisia

Title: Particular solution to the higher order non-homogeneous Cauchy-Euler equations

Abstract: 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 also provides an approximate solution by using approximate roots for the characteristic polynomial of the Cauchy-Euler equation. Moreover, we provide an explicit particular solution for non-homogeneous dynamic Cauchy-Euler equations whose characteristic equations have distinct roots.

This is a joint work with Professor Miloud Assal.