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...

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Autores principales:	Amal khalaf Haydar, Habeeb Kareem Abdullah, Kawther Reyadh Obead
Formato:	article
Lenguaje:	AR EN
Publicado:	College of Science for Women, University of Baghdad 2021
Materias:	Linear functional-differential equations stability theory Laplace transform Science Q
Acceso en línea:	https://doaj.org/article/090453ff59d44995af9f49874545824d
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spelling	oai:doaj.org-article:090453ff59d44995af9f49874545824d2021-12-04T16:13:04ZAnalytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties10.21123/bsj.2021.18.4.11942078-86652411-7986https://doaj.org/article/090453ff59d44995af9f49874545824d2021-12-01T00:00:00Zhttps://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4275https://doaj.org/toc/2078-8665https://doaj.org/toc/2411-7986 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 Amal khalaf HaydarHabeeb Kareem AbdullahKawther Reyadh ObeadCollege of Science for Women, University of BaghdadarticleLinear functional-differential equationsstability theoryLaplace transformScienceQARENBaghdad Science Journal, Vol 18, Iss 4 (2021)
institution	DOAJ
collection	DOAJ
language	AR EN
topic	Linear functional-differential equations stability theory Laplace transform Science Q
spellingShingle	Linear functional-differential equations stability theory Laplace transform Science Q Amal khalaf Haydar Habeeb Kareem Abdullah Kawther Reyadh Obead Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties
description	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
format	article
author	Amal khalaf Haydar Habeeb Kareem Abdullah Kawther Reyadh Obead
author_facet	Amal khalaf Haydar Habeeb Kareem Abdullah Kawther Reyadh Obead
author_sort	Amal khalaf Haydar
title	Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties
title_short	Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties
title_full	Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties
title_fullStr	Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties
title_full_unstemmed	Analytical Solutions for Advanced Functional Differential Equations with Discontinuous Forcing Terms and Studying Their Dynamical Properties
title_sort	analytical solutions for advanced functional differential equations with discontinuous forcing terms and studying their dynamical properties
publisher	College of Science for Women, University of Baghdad
publishDate	2021
url	https://doaj.org/article/090453ff59d44995af9f49874545824d
work_keys_str_mv	AT amalkhalafhaydar analyticalsolutionsforadvancedfunctionaldifferentialequationswithdiscontinuousforcingtermsandstudyingtheirdynamicalproperties AT habeebkareemabdullah analyticalsolutionsforadvancedfunctionaldifferentialequationswithdiscontinuousforcingtermsandstudyingtheirdynamicalproperties AT kawtherreyadhobead analyticalsolutionsforadvancedfunctionaldifferentialequationswithdiscontinuousforcingtermsandstudyingtheirdynamicalproperties
_version_	1718372656230694912

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

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