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Direct and inverse source problems for degenerate parabolic equations
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Abstract<p>Degenerate parabolic partial differential equations (PDEs) with vanishing or unbounded leading coefficient make the PDE non-uniformly parabolic, and new theories need to be developed in the context of practical applications of such rather unstudied mathematical models arising in porous media, population dynamics, financial mathematics, etc. With this new challenge in mind, this paper considers investigating newly formulated direct and inverse problems associated with non-uniform parabolic PDEs where the leading space- and time-dependent coefficient is allowed to vanish on a non-empty, but zero measure, kernel set. In the context of inverse analysis, we consider the linear but ill-posed identification of a space-dependent source from a time-integral observation of the weighted main dependent variable. For both, this inverse source problem as well as its corresponding direct formulation, we rigorously investigate the question of well-posedness. We also give examples of inverse problems for which sufficient conditions guaranteeing the unique solvability are fulfilled, and present the results of numerical simulations. It is hoped that the analysis initiated in this study will open up new avenues for research in the field of direct and inverse problems for degenerate parabolic equations with applications.</p>
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Publication Date
Fri Sep 30 2022
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
Coordination between real estate and income tax and its impact on the tax outcome: Applied research in the General Authority for Taxes
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The research aimed to demonstrate the possibility of benefiting from the coordination between real estate and income tax as the independent variable on the tax outcome as the dependent variable as the dependent variable. Which were practiced within rented buildings, as information was obtained from real estate owners, and the annual controls for the year 2021 were relied upon in the process of calculating the tax amounts expected to be obtained. used in the tax inventory process lacks seriousness and continuous updating

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Publication Date
Fri Jan 01 2021
Journal Name
Special Exercises For Offensive Tactical Skills And Their Impact On Developing The Speed And Accuracy Of Some Basic Skills In Youth Football
SPECIAL EXERCISES FOR OFFENSIVE TACTICAL SKILLS AND THEIR IMPACT ON DEVELOPING THE SPEED AND ACCURACY OF SOME BASIC SKILLS IN YOUTH FOOTBALL
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Publication Date
Tue Jan 01 2019
Journal Name
Energy Procedia
The relationship of Nuclear Decay Methods (alpha and beta) Particles with the Nuclear Deformation for Nuclei inUranium-238 and Thorium -232 Series
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Publication Date
Fri Dec 01 2023
Journal Name
Iraqi Journal Of Physics
Assessment of Sustainable Urban Expansion with Land Use and Land Cover Changes for Al-Hillah City Using Remote Sensing and GIS Techniques
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In the current study, remote sensing techniques and geographic information systems were used to detect changes in land use / land cover (LULC) in the city of Al Hillah, central Iraq for the period from 1990 - 2022. Landsat 5 TM and Landsat 8 OLI visualizations, correction and georeferencing of satellite visuals were used. And then make the necessary classifications to show the changes in LULC in the city of Al Hillah. Through the study, the results showed that there is a clear expansion in the urban area from 20.5 km2 in 1990 to about 57 km2 in 2022. On the other hand, the results showed that there is a slight increase in agricultural areas and water. While the arid (empty) area decreased from 168.7 km 2 to 122 km 2 in 2022. Long-term ur

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Publication Date
Thu Jun 01 2017
Journal Name
The Journal Of Immunology
Definition of the Nature and Hapten Threshold of the β-Lactam Antigen Required for T Cell Activation In Vitro and in Patients
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Abstract<p>Covalent modification of protein by drugs may disrupt self-tolerance, leading to lymphocyte activation. Until now, determination of the threshold required for this process has not been possible. Therefore, we performed quantitative mass spectrometric analyses to define the epitopes formed in tolerant and hypersensitive patients taking the β-lactam antibiotic piperacillin and the threshold required for T cell activation. A hydrolyzed piperacillin hapten was detected on four lysine residues of human serum albumin (HSA) isolated from tolerant patients. The level of modified Lys541 ranged from 2.6 to 4.8%. Analysis of plasma from hypersensitive patients revealed the same pattern and leve</p> ... Show More
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Publication Date
Mon Feb 08 2016
Journal Name
Iraqi Journal Of Science,
Synthesis, Identification and Evaluation Biological Activity for Some New Triazole, Triazoline and Tetrazoline Derivatives From 2-Mercapto-3- phenyl-4(3H)Quinazolinone
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This research, involved synthesis of some new 1,2,3-triazoline and 1,2,3,4- tetrazole derivatives from antharanilic acid as starting material .The first step includes formation of 2-Mercapto-3-phenyl-4(3H)Quinazolinone (0) through reacted of anthranilic acid with phenylisothiocyanate in ethanol, then compound (0) reaction with chloro acetyl chloride in dimethyl foramamide (DMF) to prepare intermediate S-(α-chloroaceto-2-yl)-3-phenylquinazolin-4(3H)-one (1); compound (1) reacted with sodium azide to yield S-(α-azidoaceto-2-yl)-3-phenylquinazolin-4(3H)-one (2), while Schiff bases (3-10) were prepared from condensation of substituted primary aromatic amines with different aromatic aldehydes in absolute ethanol as a solvent. Compound (2)

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Publication Date
Sun Sep 02 2012
Journal Name
Baghdad Science Journal
Evaluation of the Compton (Incoherent) and Rayleigh (Coherent) Differential Cross Sections of Scattering for Rhodium 103Rh45 and Tantalum181Ta73 by Employing CSC model
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The differential cross section for the Rhodium and Tantalum has been calculated by using the Cross Section Calculations (CSC) in range of energy(1keV-1MeV) . This calculations based on the programming of the Klein-Nashina and Rayleigh Equations. Atomic form factors as well as the coherent functions in Fortran90 language Machine proved very fast an accurate results and the possibility of application of such model to obtain the total coefficient for any elements or compounds.

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Publication Date
Tue Aug 02 2022
Journal Name
Muthanna Journal For Admisrative And Economic Sciences
MEASURING AND ANALYSING THE CAUSAL RELATIONSHIP BETWEEN AGRICULTURAL TERMS OF TRADE AND SOME AGRICULTURAL VARIABLES IN IRAQ FOR THE PERIOD 1990-2019
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The research aims to investigate the existence of a direct causal relationship between selected agricultural variables: agricultural output (as a representative of growth in the agricultural sector), agricultural terms of trade as a completely new variable in agricultural studies in recent years, agricultural labour which is an important part in the total workforce for Iraq, and finally, agricultural investment because of its importance and vital role in the production process, creating job opportunities, and then raising the level of employment, then it's role to achieving agricultural growth and development. For this purpose, the researchers used the Toda-Yamamoto causality methodology for a time series covering from 1990 to 2019. The res

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Publication Date
Fri Aug 08 2025
Journal Name
Journal Of Physical Education
The Effect of Compound Physical and Skill Exercises on the Development of Explosive Strength and Some Offensive Skills for Basketball Players U18
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Publication Date
Wed Jun 07 2023
Journal Name
Journal Of Educational And Psychological Researches
The impact of The Bransford and Stein Model on the Achievement of Fifth-Grade Literary Students for Geography and their Reflective Thinking
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The current research aims to identify the effect of the Bransford and Stein model on the achievement of fifth-grade literary students for geography and their reflective thinking. To achieve the objective of the research, the following two null hypotheses were formulated:

  • There is no statistically significant difference at the significance level (0.05) between the average scores of the experimental group students who studied geography using the Bransford and Stein model and the average scores of the control group students who studied the same subject in the usual way in the achievement test. 2- There is no statistically significant difference at the significance level (0.05) between the average scores of the experimental gr

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