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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
Sat Jan 01 2011
Journal Name
Baghdad Science Journal
Effect of cultar, potassium and salinity of irrigation water on some characteristics of vegetative growth of two cultivars of apricot (Prunus armeniaca L.)‏
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Publication Date
Wed Dec 30 2020
Journal Name
Modern Sport
The effect of exercises according to the differentiated education method in developing agility and learning the collar skill of students in rhythmic gymnastics
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The second half of the last century witnessed a great scientific revolution that was able to bring about wide changes in various fields, including the field of physical education, which plays a fundamental role in the process of change for the better, and which knocked all the doors of modern science in various aspects and from this perspective we see that students have different capabilities And interests and motives, which require providing a differentiated education, and this depends on the necessity of knowing each student and on the school’s ability to know appropriate strategies for teaching each student so there is no single way to teach so the research problem comes in experimenting with an educational method that works on

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Publication Date
Tue Jun 20 2023
Journal Name
Baghdad Science Journal
Preparation, characterization, antioxidant activity of 1-(2-furoyl) thiourea derivatives and study the molecular docking of them as potent inhibitors of Urease enzyme
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In this work, we synthesized thirteen compounds of 1-(2-furoyl)thiourea derivatives 1-13 by conversion of 2-furoyl chloride to 2-furoyl isothiocyanate by reacting it with potassium thiocyanate in dry acetone in a quite short reflux time then, in the same pot, different of (primary and secondary amines) were added individually to achieve thiourea derivatives. The products were characterized spectroscopically using (FT-IR, 1H NMR and 13C NMR) techniques. Some of them were evaluated as antioxidant agents using DPPH radical scavenging method, and all were examined theoretically as enzyme inhibitors against Bacillus pasteurii urease (pdb id: 4ubp) and  by studying  molecular docking using Autodock (4.2.6) software.

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Publication Date
Mon Jan 01 2024
Journal Name
Journal Of Oral Medicine And Oral Surgery
Evaluating dental implant stability using three devices Osstell<sup>®</sup>, Periotest<sup>®</sup>, and AnyCheck<sup>®</sup>: a clinical study
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Introduction: Implant stability is usually measured with resonance frequency analysis (RFA) and damping capacity assessment (DCA). This study aimed to measure primary and secondary stabilities using 3 devices that are based on these methods, namely; RFA (Osstell®) and DCA (Periotest® and AnyCheck®) to assess the correlations of the measurements obtained by these devices and the correlations between implant stability and insertion torque. Material and Methods: This observational prospective study included 35 dental implants. The implant stability was measured using the 3 devices. Mann–Whitney U

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Publication Date
Tue Jun 11 2019
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Evaluating Health-Related Quality of Life (HRQoL) in Iraqi Adult and Pediatric Patients with Beta-Thalassemia Major Using Two Different Iron Chelation Therapies
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Publication Date
Sun Dec 01 2024
Journal Name
Baghdad Science Journal
Synthesis, Characterization and Antioxidant Study of Some Metal Ion Complexes with Azo 1-(2,4,6-trihydroxy-3-((3-hydroxyphenyl) diazenyl) phenyl) Ethan-1-one.
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اثناء تفاعل الديزنة تكونت صبغة أزو جديدة عن طريق تفاعل 3-امينوفينول مع 2,4,6-ثلاثي هيدروكسي اسيتوفينون . ثم تم تفاعل هذا الليكاند مع بعض ايونات العناصر الكروم والحديد الروديوم والروثينيوم بتكفؤهم الثلاثي والكوبلت الثنائي والموليبدينوم سداسي التكافؤ مكونة معقدات فلزية مختلفة بأشكال هندسية متعددة. تم ملاحظة تناسق مجموعة الازو مع ايونات العناصر من خلال ملاحظة ظهور حزم امتصاص الفلز مع النتروجين والاوكسجين ب

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Publication Date
Sat Oct 01 2022
Journal Name
Baghdad Science Journal
The Role of Serum Chitinase-3-Like 1 Protein (YKL-40) Level and its Correlation with Proinflammatory Cytokine in Patients with Rheumatoid Arthritis
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Chitinase-3-like 1 protein (YKL-40) is a glycoprotein primarily produced in the arthritic joint and plays a crucial role in inflammatory processes. The aim of the study is to establish the role of YKL-40 as a biomarker for rheumatoid arthritis (RA) compared to proinflammatory biomarkers and disease activity. The study included 58 patients and 18 control. Diseases activity score (DAS-28) and clinical disease activity index (CDAI) were measured. Serum level of YKL-40, tumor necrosis factor-α (TNF-α), interleukin-1B (IL-1β), erythrocyte sedimentation (ESR), rheumatoid factor (RF), C-reactive protein (CRP), and anti-citrullinated protein antibody (ACPA) were assessed. The results showed that the median serum YKL-40 level which was 5.42 

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Publication Date
Sun Jan 01 2023
Journal Name
Brazilian Dental Science
Effect of adhesive primer application on shear bond strength of self-adhesive cement to tooth structure and two different CAD/CAM milled blocks
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Publication Date
Sun Jan 01 2017
Journal Name
Analytical Methods
Determination of pharmaceuticals in freshwater sediments using ultrasonic-assisted extraction with SPE clean-up and HPLC-DAD or LC-ESI-MS/MS detection
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A robust and sensitive analytical method is presented for the extraction and determination of six pharmaceuticals in freshwater sediments.

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Publication Date
Wed Jan 01 2020
Journal Name
Biochemical & Cellular Archives
CORRELATION STUDY BETWEEN METHIONINE SYNTHASE, CYSTATHIONINE B SYNTHASE WITH CLASSIC PARAMETERS AFTER TREATED WITH JANUVIA IN IRAQI DIABETIC PATIENT'S TYPE 2 AND COMPLICATION.
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This study was aimed to examined effect of Januvia treatment on methionine synthases Meth and cystathionine B- synthase (CBS) in Iraqi patients type2 without treated and another group who taken Januvia treated in addition to diabetic patients with complication without treated with Januvia Also, to found the relationship between these parameters with BMI, FBS, HbA1C and Insulin levels. Firstly, the blood sampling date for this research between December and February 2019 - 2020. Blood sampling was withdrawn from 8:00 to 10:00 in the case of fasting of all substances . five milliliters of venous blood were collected by means of an antecubital venipuncture divided into two parts, one of which (2ml) was put in a tube containing anticoagulant fac

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