The Necessary Condition for Optimal Boundary Control Problems for Triple Elliptic Partial Differential Equations

Jamil A. Ali Al-Hawasy; Nabeel A. Thyab Al-Ajeeli

doi:10.30526/34.1.2557

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Publication Date

Wed Jan 20 2021

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Volume

34

Issue Number

1

DOI

10.30526/34.1.2557

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The Necessary Condition for Optimal Boundary Control Problems for Triple Elliptic Partial Differential Equations

boundary optimal control

triple linear partial differential equations of elliptic type

FrÃ©chet derivative

necessary conditions.

Jamil A. Ali Al-Hawasy

Nabeel A. Thyab Al-Ajeeli

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In this work, we prove that the triple linear partial differential equations (PDEs) of elliptic type (TLEPDEs) with a given classical continuous boundary control vector (CCBCVr) has a unique "state" solution vector (SSV) by utilizing the Galerkin's method (GME). Also, we prove the existence of a classical continuous boundary optimal control vector (CCBOCVr) ruled by the TLEPDEs. We study the existence solution for the triple adjoint equations (TAJEs) related with the triple state equations (TSEs). The FrÃ©chet derivative (FDe) for the objective function is derived. At the end we prove the necessary "conditions" theorem (NCTh) for optimality for the problem.

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Publication Date

Tue Oct 01 2013

Journal Name

Journal Of Economics And Administrative Sciences

Dynamic Equilibrium of Marketing and Its Role in Achieving Excellence Performance Experimental research on a number of Iraqi private banks

Dynamic Equilibrium Of Marketing- Marketing Performance- Collaboration- Regulations/Institutions- Focus On The customer- Focus On The Competitors.

سعدون حمود

بلال جاسم

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Purpose :This study seeks to provide the point of view stands on the marketing performance of the banks in the context of Dynamic Equilibrium of marketing. It aims to develop a prototype of measuring marketing performance under the umbrella of marketing dynamic prototype, embodied of the strategic alliance and competition, and the laws and legislation, and to explore any of the dimensions more effective in achieving performance. This study aims to discusses the importance of the Dynamic Equilibrium of marketing and it role in achieving the marketing performance <

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Publication Date

Tue Oct 23 2018

Journal Name

Journal Of Economics And Administrative Sciences

Factors Affecting Timeliness Issuance of Corporate Financial Reporting Listed Companies in Palestine Exchange (PEX) (An Empirical Study)

Factors Affecting Timeliness Issuance of Corporate Financial Reporting Listed Companies in Palestine Exchange (PEX) (An Empirical Study

حمدي شحده

حازم فهمي

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This study examined the relationship between the reporting lag (the timeliness of corporate financial reporting) and several independent variables: (1) Audit reporting lag,(2)Company Size,(3) Profitability of the company,(4)Company Age,(5) Sector Type.(6)Audit’s Opinion,(7) Market Type,(8) Gearing,(9) Concentration of ownership,(10) Audit Firm Size(11)Profit or Loss Company(12) Companies Listed lag on the PEX. In order to achieve the objectives of the study and testing its hypotheses, the data Obtained through actual data of a financial reports, and based on me

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Publication Date

Sat Apr 13 2024

Journal Name

مجلة واسط للعلوم الریاضیة

تأثير تنوع تدريبات الاستطالة العضلية للذراعين بشدة عالية في الكفاءة القاعدية الخلوية والتنفس الرئوي لمبارزي سلاح الشيش الشباب بدلالة تكنولوجيا الرياضة

muscular elongation of the arms

basal cellular efficiency

pulmonary respiration

fencing with a shish weapon

sports technology.

أ.م.د.

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The research aimed to prepare muscle elongation exercises for the arms with high intensity in which the training methods for young blind fencers vary, and to identify the effect of the diversity of muscle elongation exercises for the arms with high intensity on the cellular basal efficiency (lactic acid and sodium bicarbonate) and pulmonary respiration for young blind weapon fencers in terms of sports technology, and the experimental approach was adopted by designing the experimental and equal control groups, and the limits of the research community were represented by young fencers with shish weapon under the age of (20) years in the Army Sports Club, whose number is Total (15) swordsmen, continuing their training for the sports season (20

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Publication Date

Thu May 04 2023

Journal Name

НАУЧНЫЙ ФОРУМ

Иноязычные заимствования в современном русском языке

lexical innovation

borrowed word

foreign language word

foreign language neologism

vocabulary adaptation

ways of mastering foreign words.

Ghadah

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Архив всех научных статей сборников конференций и журналов по направлению Филология.

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Publication Date

Wed May 10 2023

Journal Name

Journal Of Engineering

Irrigation Scheduling Effect on Water Requirements

Irrigation scheduling

percentage of maximum root depth

water resources dept. program

water budget

Nahr Sa'd irrigation project.

Amer Hassan

Tamara Sideeq

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Irrigation scheduling techniques is one of the suggested solutions for water scarcity problem. The study aims to show the possibility of using practical and applicable irrigation scheduling program which was designed by Water Resources Department at the University of Baghdad by using Spreadsheet Formulas for Microsoft Excel program, version 2007, with some modification to generalize it and made it applicable to various climatic zone and different soil types, as a salvation for the shortage of irrigation water inside the irrigation projects. Irrigation projects which incidence of Tigris River basin will be taken as an applicable example. This program was based on water budgeting and programmed depending on scientific concepts which facili

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Publication Date

Tue Mar 30 2021

Journal Name

College Of Islamic Sciences

Divine orders Divine orders directed to his prophets (peace be upon them): Divine orders directed to his prophets (peace be upon them)

Keywords: ordering the worship of God Almighty - ordering entry into Islam - ordering assignment and following justice and integrity. المقدمة:

Keywords: ordering the worship of God Almighty - ordering entry into Islam - ordering assignment and following justice and integrity

inas-22222 عبد

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ملخص البحث:

ان الله تعالى هو الذي خلق جميع المخلوقات ، والذي بيده الموت والحياة وان كل هذه المخلوقات تحتاج الى اوامر ، وهذه الاوامر الالهية وجهها الله لعبادة بوساطة انبياءه ( عليهم السلام) فكانوا هم اول المستسلمين والمنقادين لأوامره ، فجاءت الآيات الكريمة مخاطبة للأنبياء واقوامهم بشكل عام ولنبينا محمد (r) بشكل خاص.

اما عن المضمون البحثي فقد جاءت مادته مقسمة الى ثل

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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

Sun Jan 01 2017

Journal Name

International Mathematical Forum

On mildly-regular space

g-closed set

mildly closed set

mildly closure of set

mildly Hausdorff space

irresolute function

M-open function

Afraa R.

Jalal H.

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In this paper mildly-regular topological space was introduced via the concept of mildly g-open sets. Many properties of mildly - regular space are investigated and the interactions between mildly-regular space and certain types of topological spaces are considered. Also the concept of strong mildly-regular space was introduced and a main theorem on this space was proved.

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Publication Date

Sun Mar 01 2015

Journal Name

Baghdad Science Journal

S-maximal Submodules

Maximal submodules

S-maximal submodules

Almost maximal submodules

Semimaximal submodules

Semi essential submodules and Jacobson radical of modules.

Muna A.

Shireen O.

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Throughout this paper R represents a commutative ring with identity and all R-modules M are unitary left R-modules. In this work we introduce the notion of S-maximal submodules as a generalization of the class of maximal submodules, where a proper submodule N of an R-module M is called S-maximal, if whenever W is a semi essential submodule of M with N ? W ? M, implies that W = M. Various properties of an S-maximal submodule are considered, and we investigate some relationships between S-maximal submodules and some others related concepts such as almost maximal submodules and semimaximal submodules. Also, we study the behavior of S-maximal submodules in the class of multiplication modules. Farther more we give S-Jacobson radical of ri

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Publication Date

Wed Jun 01 2016

Journal Name

Journal Of Economics And Administrative Sciences

factors determining pricing strategies in Iraqi business market – on analytic study in a number of industrial sector companies

نعمة شليبة

حنان صفاء

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Pricing has an important position among the elements of marketing mixture (4ps) as it represents revenues that in turn represent one of the important pillars' for resources affecting on organizations sustainability and development , and the failure in determining prices and their strategies has a dangerous effect on the organizations reality and future as a whole . from this point, this is what from the focus of the research problem,which centered on how to get companies to critical price that satisfies customers and achieve corporate objectives.

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