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

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Amal khalaf Haydar
Habeeb Kareem Abdullah
Kawther Reyadh Obead

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

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1.
Haydar A khalaf, Abdullah HK, Obead KR. Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties. Baghdad Sci.J [Internet]. [cited 2021Sep.21];18(4):1194. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4275
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