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

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

hybrid format

2022-03-24 - 11:00

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.