Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties

This paper aims to find new analytical closed-forms to the  solutions of the nonhomogeneous functional differential equations of the nth order with finite and constants delays and various initial delay conditions in terms of elementary functions using Laplace transform method. As well as, the defin...

Description complète

Enregistré dans:
Détails bibliographiques
Auteurs principaux: Amal khalaf Haydar, Habeeb Kareem Abdullah, Kawther Reyadh Obead
Format: article
Langue:AR
EN
Publié: College of Science for Women, University of Baghdad 2021
Sujets:
Q
Accès en ligne:https://doaj.org/article/090453ff59d44995af9f49874545824d
Tags: Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
Description
Résumé:This paper aims to find new analytical closed-forms to the  solutions of the nonhomogeneous functional differential equations of the nth order with finite and constants delays and various initial delay conditions in terms of elementary functions using Laplace transform method. As well as, the definition of dynamical systems for ordinary differential equations is used to introduce the definition of dynamical systems for delay differential equations which contain multiple delays with a discussion of their dynamical properties: The exponential stability and strong stability