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

Authors

Amal khalaf Haydar, Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, IraqFollow
Habeeb Kareem Abdullah, epartment of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, IraqFollow
Kawther Reyadh Obead, Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, IraqFollow

Abstract

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

Keywords

Linear functional-differential equations, stability theory, Laplace transform

Article Type

Article

How to Cite this Article

Haydar, Amal khalaf; Abdullah, Habeeb Kareem; and Obead, Kawther Reyadh (2021) "Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties," Baghdad Science Journal: Vol. 18: Iss. 4, Article 4.
DOI: https://doi.org/10.21123/bsj.2021.18.4.1194