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

Mon Feb 20 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Satellite Images Fusion Using Mapped Wavelet Transform Through PCA

Fusion

Wavelet Transform

PCA

Pyramid

Packet.

Hameed Majeed

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In this paper a new fusion method is proposed to fuse multiple satellite images that are acquired through different electromagnetic spectrum ranges to produce a single gray scale image. The proposed method based on desecrate wavelet transform using pyramid and packet bases, the fusion process preformed using two different fusion rules, where the low frequency part is remapped through the use of PCA analysis basing on covariance matrix and correlation matrix, and the high frequency part is fused using different fusion rules (adding, selecting the higher, replacement), then the restored image is obtained by applying the inverse desecrate wavelet transform. The experimental results show the validity of the proposed fusion method to fuse suc

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Publication Date

Sun Jun 12 2011

Journal Name

Baghdad Science Journal

SlantletTransformbased VideoDenoising

Video Denoising

slantlet transform (SLT)

softthreshold

Iman M

Afrah L.

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A technique for noise removal is proposed based on slantlet transform. The proposed algorithm tends to reduce the computational time by reducing the total number of frames through dividing the video film into sub films, finding master frames, applying the slantlet transform which is orthogonal discrete wavelet transform with two zero moments and with improved time localization. Thresholding technique is applied to the details coefficients of the slantlet transform .The denoised frame is repeated to retain the original frame sequence. The proposed method was applied by using MATLAB R2010a with video contaminated by white Gaussian noise .The experimental results show that the proposed method provides better subjective and object

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Publication Date

Sat Jun 01 2013

Journal Name

Engineering And Technology Journal

Performance Improvement of Multi-UserMC-CDMA system Using Discrete Hartly Transform Mapper

Discrete Hartley Transform Hartley Mapper CDMA

Ali

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Future wireless communication systems must be able to accommodate a large number of users and simultaneously to provide the high data rates at the required quality of service. In this paper a method is proposed to perform the N-Discrete Hartley Transform (N-DHT) mapper, which are equivalent to 4-Quadrature Amplitude Modulation (QAM), 16-QAM, 64-QAM, 256-QAM, … etc. in spectral efficiency. The N-DHT mapper is chosen in the Multi Carrier Code Division Multiple Access (MC-CDMA) structure to serve as a data mapper instead of the conventional data mapping techniques like QPSK and QAM schemes. The proposed system is simulated using MATLAB and compared with conventional MC-CDMA for Additive White Gaussian Noise, flat, and multi-path selective fa

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Publication Date

Wed Oct 04 2023

Journal Name

Exergy - New Technologies And Applications

High Synthetic Image Coding System

image coding

image compression

Discrete Cosine Transform (DCT)

Discrete Wavelet Transform (DWT)

entropy coding

quantization

Abdallah

Loay

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Compressing an image and reconstructing it without degrading its original quality is one of the challenges that still exist now a day. A coding system that considers both quality and compression rate is implemented in this work. The implemented system applies a high synthetic entropy coding schema to store the compressed image at the smallest size as possible without affecting its original quality. This coding schema is applied with two transform-based techniques, one with Discrete Cosine Transform and the other with Discrete Wavelet Transform. The implemented system was tested with different standard color images and the obtained results with different evaluation metrics have been shown. A comparison was made with some previous rel

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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 Mar 15 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

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

Sun Aug 13 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

In vivo study of compounds 3-(acetyl Salicyloyl)-5,6 â€“Oisopropylidene-L-ascorbic acid ,2,3- (acetyl Salicyloyl)-5,6 â€“O-isopropylidene-L-ascorbic acid and 2,3,5,6Tetra(acetyl Salicyloyl)-L-ascorbic acid

F. T.

A-J.

A. I.

N. A.

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In vivo study was made for the coumpounds 3-(ocetyl Salicyloyl)-5,6-O-isoprpy lideneL-ascorbicocid,2,3-(acetyl Salicyloyl )-5,6-o- isopropylidene-L-ascorbic acid and 2,3,5,6(acetyl Salicyloyl )-L- ascorbic acid .And a measurement was mod for the concentration of the liberated aspirin in blood samples a fter (2,3,4,6,8,10) hours of the initial dose for the animal .The results showed that the highest concentration of aspirin was after four hours of giving the dose to the animal which is in accordance with pharmacokinetics studies

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Publication Date

Mon Dec 01 2014

Journal Name

Journal Of Economics And Administrative Sciences

Banking Governance According to the principles of the Basel Committee and its impact on the achievement of the strategic objectives of banks Study in a sample of private commercial banks Iraqi

Banking Governance

principles

strategic objectives .

محمد جاسم

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This study aims to impact statement played by banking governance according to the decisions of the Basel Committee in achieving the strategic objectives of the banks, But order to achieve the this goal has been the adoption of two hypotheses in addition to the two main hypotheses as sub answered preliminary The study seeks to verify their health and two (no correlation relationship and impact between Banking governance and achieve strategic objectives), has been tested hypotheses. Study has reached

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