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

Thu Jul 02 2026

Journal Name

Innovative Construction And Petrochemical Technologies

Improving Arabic Text Classification Accuracy Using Lightweight NLP Techniques

Arabic natural language processing

Arabic text classification

TF-IDF method

Chi-Square feature selection

linear SVM classifier

Logistic Regression

BiLSTM

AraBERT

efficient NLP models

accuracy and efficiency trade-off

Rasha

Safana

Sarah

Reiam

Rusul

Liqaa

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Arabic text classification is a challenging task because of the complex morphology of the language, the existence of different writing forms and a multitude of dialects, which can result in sparser common text representations. While transformer models such as AraBERT have obtained superior results on many Arabic NLP tasks, their high computational requirements make them difficult to deploy in environments with limited hardware resources. In some cases this can also make the model less practical for researchers working with basic computer systems. This study focuses on a more practical issue: how much accuracy a simple classifier may lose when the amount of required computation is reduced. We use a combined TF-IDF representation based on bo

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Publication Date

Sat Feb 01 2020

Journal Name

Journal Of Economics And Administrative Sciences

Study Impact of Some Factors on Daily Number of Hours Providing of Electricity in Baghdad City Using Path Analysis

نمذجة المعادلات الهيكلية

تحليل المسار

أموس

انموذج الانحدار الخطي المتعدد

مشكلة التعدد الخطي

مشكلة عدم تجانس التباين

مشكلة الارتباط الذاتي بين الاخطاء

مؤشرات حسن الملائمة.

: Structural Equation Modeling (SEM)

Path Analysis

AMOS

Multiple Linear Regression Model

Multicollinearity

Heteroskedasticity

Auto-Correlations

Goodness of Fit Index.

عادل أحمد

صالح رزاق

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دُرِست العوامل المؤثرة في عدد ساعات تجهيز الكهرباء في مدينة بغداد، وتكونت عينة الدراسة من (365) مشاهدة يومية لعام 2018، وتمثلت بستة متغيرات استعملت في الدراسة. كان الهدف الرئيس هو دراسة العلاقة بين هذه المتغيرات، وتقدير تأثيرات المتغيرات التنبؤية في المتغير التابع (عدد ساعات تجهيز الكهرباء في مدينة بغداد). ولتحقيق ذلك استعملت نمذجة المعادلات الهيكلية/ تحليل المسار وبرنامج AMOS

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Publication Date

Mon Jun 05 2023

Journal Name

Journal Of Economics And Administrative Sciences

Fuzzy Bridge Regression Model Estimating via Simulation

Fuzzy linear regression

Fuzzy least squares method

Fuzzy Bridge regression

multicollinearity

triangular fuzzy numbers

Variance Inflation Factor.

الانحدار الخطي الضبابي

طريقة المربعات الصغرى الضبابية

انحدار الجسر الضبابي

التعدد الخطي

الأرقام الضبابية المثلثية

عامل تضخم التباين.

Rawya

Mohammed

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The main problem when dealing with fuzzy data variables is that it cannot be formed by a model that represents the data through the method of Fuzzy Least Squares Estimator (FLSE) which gives false estimates of the invalidity of the method in the case of the existence of the problem of multicollinearity. To overcome this problem, the Fuzzy Bridge Regression Estimator (FBRE) Method was relied upon to estimate a fuzzy linear regression model by triangular fuzzy numbers. Moreover, the detection of the problem of multicollinearity in the fuzzy data can be done by using Variance Inflation Factor when the inputs variable of the model crisp, output variable, and parameters are fuzzed. The results were compared usin

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(2)

Publication Date

Wed Dec 01 2021

Journal Name

Baghdad Science Journal

On (ɱ,ɳ)-Strongly Fully Stably Banach Algebra Modules Related to an Ideal of Am ×ɳ

Fully-stable-B-algebra-module relate to an ideal

(M

N)-full-stability-B- Algebra-module relate to ideal

Multiplication-(ɱ

ɳ)-B-algebra-module relate to ideal

Baer-(ɱ

ɳ)-criterion relate to an ideal

Pure-(ɱ

ɳ)- sub-module .

Radhi Ibraheem Mohammed

Muna Jasim Mohammed

Samira Naji

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The aim of this paper is introducing the concept of (ɱ,ɳ) strong full stability B-Algebra-module related to an ideal. Some properties of (ɱ,ɳ)- strong full stability B-Algebra-module related to an ideal have been studied and another characterizations have been given. The relationship of (ɱ,ɳ) strong full stability B-Algebra-module related to an ideal that states, a B- -module Ӽ is (ɱ,ɳ)- strong full stability B-Algebra-module related to an ideal , if and only if for any two ɱ-element sub-sets and of Ӽ^ɳ, if , for each j = 1, …, ɱ, i = 1,…, ɳ and implies _Ạ_ɳ( ) _Ạ_ɳ( have been proved..

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