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

Amal khalaf Haydar; Habeeb Kareem  Abdullah; Kawther Reyadh Obead

doi:10.21123/bsj.2021.18.4.1194

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Publication Date

Wed Dec 01 2021

Journal Name

Baghdad Science Journal

Volume

18

Issue Number

4

DOI

10.21123/bsj.2021.18.4.1194

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

Linear functional-differential equations

stability theory

Laplace transform

Amal khalaf Haydar

Habeeb Kareem Abdullah

Kawther Reyadh Obead

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This paper aims to find new analytical closed-forms to the solutions of the nonhomogeneous functional differential equations of the n^th 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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Publication Date

Sat Sep 01 2018

Journal Name

Polyhedron

Novel dichloro (bis {2-[1-(4-methylphenyl)-1H-1, 2, 3-triazol-4-yl-κN3] pyridine-κN}) metal (II) coordination compounds of seven transition metals (Mn, Fe, Co, Ni, Cu, Zn and Cd)

The 1

3-dipolar cycloaddition “click” reaction between an azide and an alkyne to give a 1

2

3-triazole was reported by Huisgen in 1961 [1]. In 2002 the Copper(I)-catalyzed Azide-Alkyne Cycloaddition (CuAAC) to prepare a 1

2

3-triazole was reported [2]

[3]. The existence of relatively basic nitrogen atoms in the 1

2

3-triazole rings

and the possibility of introducing additional donor groups in the substituents (Fig. 1)

made the CuAAC “click” reaction an attractive method to prepare differently substituted 1

2

3-triazoles. These compounds have been used as ligands to coordinate to various metal ions that display a range of applications such as in electrochemical and photochemical studies

in supramolecular chemistry

magnetism

metal-ion sensing and catalysis [4]. The reasons for the success of the “click” reaction

is that it is easy to carry out and is widely applicable. It is not affected by a variety of functional groups

and can be carried out with a variety of Cu(I) catalysts and solvents

including aqueous conditions. The Cu(I) catalysts overcome the high activation energy barrier of the non-catalyzed Huisgen reaction by changing the mechanism of the reaction. A large variety of copper catalysts can be used for the CuAAC reaction

on condition that the maximum concentration of Cu(I) species is generated during the reaction. The pre-catalyst can be a Cu(II) salt (usually CuSO4) together with a reducing agent (often sodium ascorbate) or a Cu(I) compound in the presence of a base or amine ligand and a reducing agent to prevent oxidation to Cu(II). Some strong oxidising cupric salts or complexes such as Cu(OAc)2 also work. The solvent is very flexible from organic to aqueous

with the most commonly used combination water + an alcohol (t-BuOH

MeOH or EtOH). The key role of the solvent or solvent mixture is to solubilize the substrates and Cu(I) catalyst in order to ensure rapid reactions. Such aqueous conditions are very useful for biochemical conjugations

as well as for organic syntheses. We recently reported on the synthesis of a series of differently substituted 1

2

3-triazole chromophores

the substituted 2-(1-phenyl-1H-1

2

3-triazol-4-yl)pyridine ligands [5]

see Fig. 2 middle

with substituents R = H (L1)

CH3 (L2)

OCH3 (L3)

COOH

F

Cl

CN

CF3

O(CH2)3CH3 and N(CH3)2. These versatile ligands were found to coordinate to various first row transition metals

such as manganese

cobalt and nickel [6]. Here we extend the series to include more first row transition metal(II) coordination compounds

iron

copper and zinc

as well as a second row transition metal(II) coordination compound

cadmium

containing the 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine chromophore (Fig. 2 right with R = CH3). This series of seven novel coordination compounds is the first series of pyridyl-triazole based transition metal coordination compounds where seven different transition metals are coordinated to the same 1

2

3-triazole chromophore

namely 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine.

Kinaan M

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Publication Date

Wed Jul 31 2019

Journal Name

Journal Of Engineering

Asphaltene Precipitation Modeling of Sadi Formation in Halfaya Iraqi Oil Field

asphaltene precipitation

asphaltene deposition

asphaltene stability.

Ali Anwar

Mohammed S.

Abdullah A.

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Asphaltene is a component class that may precipitate from petroleum as a highly viscous and sticky material that is likely to cause deposition problems in a reservoir, in production well, transportation, and in process plants. It is more important to locate the asphaltene precipitation conditions (precipitation pressure and temperature) before the occurring problem of asphaltene deposition to prevent it and eliminate the burden of high treatment costs of this problem if it happens. There are different models which are used in this flow assurance problem (asphaltene precipitation and deposition problem) and these models depend on experimental testing of asphaltene properties. In this study, the used model was equation of

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Publication Date

Tue Sep 01 2020

Journal Name

Baghdad Science Journal

Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method

Mixed Volterra - Fredholm integral equations

Radial basis function.

Nahdh S. M.

Ameen Sh.

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Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is considered by combining the radial and polynomial basis functions using collocation points". The main purpose of the radial and polynomial basis functions is to overcome the singularity that could associate with the collocation methods. The obtained interpolation function passes through all Scattered Point in a domain and therefore, the Delta function property is the shape of the functions. The exact solution of selective solutions was compared with the results obtained

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Publication Date

Wed Sep 30 2020

Journal Name

Journal Of Accounting And Financial Studies ( Jafs )

The Impact of Earnings Quality using the Sustainability model (Persistence) and predictability in the Continuity of the Banks: بحث تطبيقي في عينة من المصارف التجارية المدرجة في سوق العراق للاوراق المالية

Earnings Quality

Persistence

Predictability

continuity of the Banks

financial failure

ثائر كامل

ا.م.د. وفاء عبدالامير

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The research aims to measure the extent of the impact of Earnings quality in the continuity of the company for a sample of private commercial banks listed on the Iraq Stock Exchange. The research sample included (15) of the listed commercial banks that continue to issue their financial statements for the period from (2009-2018).The research relied on three main models of measurement and on four steps. The first step is to measure the Persistence (Earnings Quality) by Depending the sustainability model. While the second step included measuring the Predictability of accounting profits by deriving the square root of the disparity of the estimation error from the first model Persistence (Earnings Quality), and the third step included

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Publication Date

Thu Jun 01 2017

Journal Name

Journal Of The College Of Languages (jcl)

ההשפעה והשענוע בנאום הפוליטי של שמעון פרס עיון פרגמטי בדוגמאות נבחרות מנאומיו Effect and Persuasion in the Political Discourse of Shimon Peres A Pragmatic Study in Selected form of His Addresses

פרגמטיקה

שכנוע

השפעה

שמעון פרס

Raheem Radhi

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במחקר הזה ניתחנו מספר נאומים של שמעון פרס, אנחנו התמקדנו בהשפעה והשכנוע אצל שמעון פרס ואיך הוא יכול להעביר את המסרים של נאומיו בסגנון פרגמטי כדי להגיע ללבו של הציבור.

גם כן, התמקדנו בסגנון הפוליטי שהוא חושב כי התחום הזה צריך להיות ברור מול הציבור וגם כן מול דעת הקהל הבינלאומי מתוך השימוש במונחים בעלי השפעה ושכנוע להגיע למטרות המבוקשות.

במלים אחרות, שמעון פרס, לעתים, מתמקד בשפה מליצית ויעמוד הרב

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Publication Date

Mon Dec 30 2019

Journal Name

College Of Islamic Sciences

The mother of the believers, the mother of Salamah and her narrators of jurisprudence In attaining the goal of the rulings evidence Ibn Hajar al-Asqalani (d. 852 AH) (prayer book)

م. د. رفيدة

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The Muslim woman actively participated in narrating, preserving, controlling and maintaining the hadith, along with her brother, the man who later became an inexhaustible representative of the effort to preserve, control, and narrate the Sunnah. Undoubtedly, the mothers of the believers, may God be pleased with them, had a great advantage in communicating Islam and spreading the Sunnah of the Prophet Especially among women, all of them heard from him, may God’s prayers and peace be upon him, and lived with him in the details of his life on the disparity between them in memorizing and narrating and publishing them. It narrated (378) recently, and it is considered the second narrator after the mother of the believers Aisha, may God be pl

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Publication Date

Sat Sep 30 2023

Journal Name

Journal Of Accounting And Financial Studies ( Jafs )

A model of a proposed audit program to audit the strategies of municipal institutions and its impact on achieving sustainable development: An applied research in the municipal institutions of Karbala Governorate

audit strategies

sustainable development

audit program

Dimensions of development

Abbas Ali Saleh Al-Yasiri

Asst. Prof. Dr. Wafaa Abdul-Amir Hassan Al-Dabbas

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Abstract

The study aimed to prepare a practical guide for procedures for auditing the strategies of municipal institutions in achieving sustainable development by adopting the idea of the audit matrix through which a classified report is prepared according to the dimensions of sustainable development, by preparing a specialized audit program for the purpose of auditing strategies for achieving sustainable development and emptying the results of the application of each of the paragraphs The program in the audit matrix that was prepared for the purpose of determining the impact of each observation and linkin

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Publication Date

Sun Jan 01 2017

Journal Name

Iraq Journal Of Agricultural Research

THE COMPARATIVE STUDY OF THE TOTAL COSTS AND NET REVENUE OF DIFFERENT TILLAGE SYSTEMS USING TWO TYPES OF SEEDLINGS IN THE PRODUCTION OF BARLEY GREEN VARIETY SAMEER IN THE GYPSUM SOILS

Shatha

...Show More Authors

Publication Date

Mon Jul 28 2025

Journal Name

Al–bahith Al–a'alami

The Impact of Means of Communication on Electoral Behavior and its Relationship to the Political Disparity of the Family (A Field Study of an Audience of the University of Baghdad’s Students)

Means of Communication

Election Behavior

Political Disparity

the Family

Jihad Kadhim

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Iraq has seen many changes at the social, economic and political levels. This led to cause many shifts in the structure of its society and imposed great challenges reflected in the behavior and awareness of that society in general and youth in particular.

Those changes made the Iraqi society undergoing the transformation of value and culture aspects formed a political awareness that caused cultural and political diversity within the family and society. A greater openness to the outside world caused by the communication revolution, as the world has witnessed during the past two decades, has helped in making that change. Iraq had its share of media and political openness, which were included after the US occupation in 2003. As a re

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Publication Date

Wed Jun 19 2019

Journal Name

Journal Of Accounting And Financial Studies ( Jafs )

Accounting information system and its role in enhancing competitivness in the public industrial sector companies in iraq, from the standpoint of the auditors at the federal supeme audit board field study

عبيد خيون

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In a world of fierce competition companies of different activities strive to strengthen their competitiveness in order to be able to deliver greater value to their customers and gain a distinct sites in competition with other companies in the market at the local and international levels. Every company seeks to focus on one or more of the competitive capabilities in order to turn it into an obvious advantage or a number of competitive advantages to contribute in improving the performance and superiority over its competitors. Therefore, the management of companies no longer need only useful information for the internal aspects of the environment, but also need to include the external environment that includes various and constantly changin

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