This work is concerned with studying the optimal classical continuous control quaternary vector problem. It is consisted of; the quaternary nonlinear hyperbolic boundary value problem and the cost functional. At first, the weak form of the quaternary nonlinear hyperbolic boundary value problem is obtained. Then under suitable hypotheses, the existence theorem of a unique state quaternary vector solution for the weak form where the classical continuous control quaternary vector is considered known is stated and demonstrated by employing the method of Galerkin and the compactness theorem. In addition, the continuity operator between the state quaternary vector solution of the weak form and the corresponding classical continuous control quaternary vector is demonstrated in three different infinite dimensional spaces (Hilbert spaces). Furthermore, with suitable hypotheses, the existence theorem of an optimal classical continuous control quaternary vector dominated by the weak form of the quaternary nonlinear hyperbolic boundary value problem is stated and demonstrated.
Using photo electrochemical etching technique (PEC), porous silicon (PS) layers were produced on n-type silicon (Si) wafers to generate porous silicon for n-type with an orientation of (111) The results of etching time were investigated at: (5,10,15 min). X-ray diffraction experiments revealed differences between the surface of the sample sheet and the synthesized porous silicon. The largest crystal size is (30 nm) and the lowest crystal size is (28.6 nm) The analysis of Atomic Force Microscopy (AFM) and Field Emission Scanning Electron Microscope (FESEM) were used to research the morphology of porous silicon layer. As etching time increased, AFM findings showed that root mean square (RMS) of roughness and po
... Show MoreThis study is concerned with the identification of the validity of the Recent sediments deposited in the Playa for the purpose of making the laboratory bricks by extrusion and pressing. The steps followed in this study included the formation and then burning of the pyramids at (950-1100) C° for one hour of maturity to determine their applicability to the brick industry. The study area is located in Al Muthanna province, south of Iraq. It is located south of the district of Samawah at a distance of 80 km and to the north-west of Salman district, 64 kilometers south of Baghdad, represented by three hosts: (DHS 1, DH2 and S). The results of the chemical analysis of the study samples showed that they consist of the following major oxides: S
... Show MoreQuick and accurate quaternary mixture resolution of furosemide (FURO), carbamazepine (CARB), diazepam (DIAZ) and carvedilol (CARV) by using derivative spectrophotometric method was performed. FURO and CARV were determined by means of first (D1), second (D2), third (D3) and fourth (D4) derivative spectrophotometric methods, CARB was determined by using D1, D2, D3 derivatives, while D1 and D2 were used for the determination of DIAZ. The recommended methods were verified using laboratory prepared mixtures and then successfully applied for the pharmaceutical formulations analysis of the cited drugs. The results obtained revealed the efficiency of the proposed methods as quantitative tool of analysis of the quaternary mixture with no requirement
... Show MoreIn this article, the inverse source problem is determined by the partition hyperbolic equation under the left end flux tension of the string, where the extra measurement is considered. The approximate solution is obtained in the form of splitting and applying the finite difference method (FDM). Moreover, this problem is ill-posed, dealing with instability of force after adding noise to the additional condition. To stabilize the solution, the regularization matrix is considered. Consequently, it is proved by error estimates between the regularized solution and the exact solution. The numerical results show that the method is efficient and stable.
Free boundary problems with nonlinear diffusion occur in various applications, such as solidification over a mould with dissimilar nonlinear thermal properties and saturated or unsaturated absorption in the soil beneath a pond. In this article, we consider a novel inverse problem where a free boundary is determined from the mass/energy specification in a well-posed one-dimensional nonlinear diffusion problem, and a stability estimate is established. The problem is recast as a nonlinear least-squares minimisation problem, which is solved numerically using the
An electrical survey was carried out by using 2D imaging technique at (15)
station. The study area is located southern Al-Shihaby area, south-east of Wasit
governorate, Eastern Iraq. The numbers of the employed electrodes were (120) and
the (a) spacing equal to (10m), and the total length of survey line is (1200m). The
inverse models of 2D imaging showed one Quaternary aquifer located in the
Quaternary deposits which comprises in alluvial fan and wind deposits of
(Pleistocene – Holocene) ages. Layers of aquifer consist of gravel and sand with
little silt. Low resistivity values reflected the presence of clay layers, and increasing
salinity of water gradually with the depth. The aquifer occurs at minimum depth
he aim of this study is to get a plant extracts to use it as molluscicides to control the snail vector of Schistosomiasis andfinely control the disease. Laboratory study was performed to compare the molluscicidal activity of leaves and stems extractsof Cucumis melo against Bulinus truncatus snail. The snail B. truncatus was exposed to a serial concentrations of leaves andstems extracts (4000ppm, 5000ppm) in this work. Different effects of the extracts to the snail B. truncatus were recorded.These effects includes death, escaping and imbalance of snail behavior. 96hr-LD50 values of leaves extracts were calculatedfor the doses 4000 and 5000ppm as (76 and 37%) respectively while for stems were (105 and 47%) respectively. We found thatthe snail
... Show MoreIntroduction: Biocides are commonly used for disinfection in a variety of contexts. They are generally used to avoid infection by controlling biofilm on medical equipment. However, the literature lacks information on the effect of biocide on efflux pump gene expression. Objective: To determine the influence of biocide on biofilm development and efflux pump acrA and ramA gene expression. Methodology: The microtiter plate method was used to identify biofilm development in 80 isolates of K. pneumoniae. The minimal inhibitory concentrations (MIC) of three biocides (quaternary ammonium compound (QAC), chlorohexidine digluconate, and chloroxylenol) were estimated. The effect of QAC on the intensity and viability of biofilms was investigated as we
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