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GLOBAL ASYMPTOTIC STABILITY OF A SECOND ORDER RATIONAL DIFFERENCE EQUATION
Abo-Zeid, R. The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.3
The aim of this paper is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $x_{n+1}\;=\;\frac{A+Bx_{n-1}}{C+Dx_n^2}$, n = 0, 1, 2, ... where A, B are nonnegative real numbers and C, D > 0.
Behavior of Solutions of a Fourth Order Difference Equation
Abo-Zeid, Raafat Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.2
In this paper, we introduce an explicit formula for the solutions and discuss the global behavior of solutions of the difference equation $$x_{n+1}={\frac{ax_{n-3}}{b-cx_{n-1}x_{n-3}}}$$, $n=0,1,{\ldots}$ where a, b, c are positive real numbers and the initial conditions $x_{-3}$, $x_{-2}$, $x_{-1}$, $x_0$ are real numbers.
Management of Tomato Root-knot Nematode Meloidogyne incognita by Plant Extracts and Essential Oils
Abo-Elyousr, Kamal A.M.,Awad, Magd El-Morsi,Gaid, M.A. Abdel The Korean Society of Plant Pathology 2009 Plant Pathology Journal Vol.25 No.2
The effect of plant extracts of eucalyptus (Eucalyptus chamadulonsis), garlic (Allium sativium), marigold (Tagetes erecta) and neem (Azadirachta indica) and essential oils were tested on the suppression of root-knot nematode Meloidogyne incognita under greenhouse and field conditions. In vitro study, all tested treatments had nematicidal effect on nematode juveniles after 24 and 48 hours from exposures. The highest percentage of nematode mortality was achieved by application of neem extract (65.4%), essential oils (64.4%) and marigold extract (60.5%), followed by garlic and eucalyptus extracts (38.7-39.5%). Under greenhouse and field conditions, neem extract and essential oils treatments were more effective in reducing population numbers of the M. incognita in soil and root gall index compared to other treatments. In field experiments, the maximum protection of tomato plant against root-knot nematode was obtained by application of neem and essential oil treatments, 44.2 and 32.6%, respectively.
Output Power Control of Wind Generation System by Machine Loss Minimization
Abo-Khalil, Ahmed,Lee, Dong-Choon 한국신재생에너지학회 2005 한국신재생에너지학회 학술대회논문집 Vol.2005 No.06
Generator efficiency optimization is important for economic saving and environmental pollution reduction. In general, the machine loss can be reduced by the decreasing the flux level, resulting in the significant reduction of the core loss. This paper proposesan model-based controller is used to decrement the excitation current component on the basis of measured stator current and machine parameters and the q-axis current component controls the generator torque, by which the speed of the induction generator iscontrolled according to the variation of the wind speed in order to produce the maximum output power. The generator reference speed is adjusted according to the optimum tip-speed ratio. The generated power flows into the utility grid through the back-to-back PWM converter. The grid-side converter controls the dc link voltage and the line-side power factor by the q-axis and the d-axis current control, respectively. Experimental results are shown to verify the validity of the proposed scheme.
Abo-Mosallam, H.A.,Kim, D.A.,Kim, H.W.,Lee, H.H. Ceramurgica ; Elsevier Science Ltd 2016 Ceramics international Vol.42 No.4
The impact of ZrO<SUB>2</SUB> content of the glass on the formation, properties and crystallization of glass ionomer cements (GICs) was investigated. Glass series based on SiO<SUB>2</SUB>-Al<SUB>2</SUB>O<SUB>3</SUB>-ZrO<SUB>2</SUB>-P<SUB>2</SUB>O<SUB>5</SUB>-CaO-CaF<SUB>2</SUB> system was synthesized and studied. The cements were characterized using a setting time, flexural strength, fracture toughness and in vitro biocompatibility test. The setting time of the ionomer cement increased with increasing the ZrO<SUB>2</SUB> content of the glass. The cements showed a slight decrease of cell biocompatibility with increase the ZrO<SUB>2</SUB> oxide content in the glasses. The results also showed that the flexural strength and the fracture toughness of the cements increased with immersion time and ZrO<SUB>2</SUB> oxide content. The crystallization characteristics of the glasses were investigated by differential scanning calorimeter (DSC) and X-ray diffraction analysis (XRD). The addition of ZrO<SUB>2</SUB> oxide in the glasses led to increase both the glass transition and crystallization temperatures. Fluorapatite [Ca<SUB>5</SUB>(PO<SUB>4</SUB>)<SUB>3</SUB>F], mullite [Al<SUB>6</SUB>Si<SUB>2</SUB>O<SUB>13</SUB>], cristobalite [SiO<SUB>2</SUB>] and zircon [ZrSiO<SUB>4</SUB>] phases were crystallized from the investigated glasses. The role played by the glass oxide constituents in determining the setting time, mechanical properties and crystallization characteristics of the prepared glass ionomer was discussed.
BEHAVIOR OF SOLUTIONS OF A RATIONAL THIRD ORDER DIFFERENCE EQUATION
ABO-ZEID, R. The Korean Society for Computational and Applied M 2020 Journal of applied mathematics & informatics Vol.38 No.1
In this paper, we solve the difference equation $x_{n+1}={\frac{x_nx_{n-2}}{ax_n-bx_{n-2}}}$, n = 0, 1, …, where a and b are positive real numbers and the initial values x<sub>-2</sub>, x<sub>-1</sub> and x<sub>0</sub> are real numbers. We also find invariant sets and discuss the global behavior of the solutions of aforementioned equation.
Abo-Elyousr, Kamal A.M.,Mohamed, Hashem M. The Korean Society of Plant Pathology 2009 Plant Pathology Journal Vol.25 No.2
Three plant growth-promoting yeasts and two rhizobacteria were tested for controlling tomato wilt caused by Fusarium oxysporum f. sp. lycopersici under green-house and field conditions. Under greenhouse and field conditions, all treatments were significantly reduced disease severity of tomato wilt relative to the infected control. The highest disease reductions in pots (75.0, 67.4%) and field (52.5, 42.4%) were achieved by Azospirillum brasilense and Bacillus subtilis compared to infected control. Under field condition all treatments produced the highest tomato yield compared to the control plants inoculated with the pathogen.
Abo-Elyousr, A.M. Kamal,Sallam, M.A.A.,Hassan, M.H.A.,Zeller, W. The Korean Society of Plant Pathology 2010 Plant Pathology Journal Vol.26 No.1
The effect of Acibenzolar-S-methyl (ASM) and Rahnella aquatilis Ra39 against apple fire blight disease caused by Erwinia amylovora were tested as a possible alternative to streptomycin. In vitro studies, no inhibition effect against the pathogen was found when ASM was tested. Under greenhouse conditions, application of R. aquatilis Ra39 with the highly susceptible M26 rootstock resulted in a marked disease suppression. Application of ASM and strain Ra39 caused a high decrease of the disease, 82% and 58% respectively; this was correlated with a reduction of the growth of the pathogen within host plants up to 64% and 49.5% respectively. Further studies in the field under artificial infection condition during full bloom revealed that application of ASM and R. aquatilis Ra39 with Gala variety resulted in a control effect up to 21 and 29% respectively. In physiological studies, enhanced activities of PR-proteins (chitinase and $\beta$-1, 3-glucanase) were detected, which are well known as biochemical markers for systemic acquired resistance. Application of ASM to apple shoots caused the highest chitinase activity followed by strain Ra39. The enzyme activity was increased after 2, 4 and 6 days from application. In addition, ASM-treatment caused the higher $\beta$-1, 3-glucanase activity than strain Ra39. Maximum enzyme activity was recorded after 6 days from application and then decreased after 8 and 10 days from application.