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EXISTENCE RESULTS FOR p-LAPLACIAN PROBLEMS INVOLVING SINGULAR CYLINDRICAL POTENTIAL
Zeid Ibrahim Almuhiameed 경남대학교 기초과학연구소 2023 Nonlinear Functional Analysis and Applications Vol.28 No.4
In this paper, we establish the existence of at least two distinct solutions to a $p$-Laplacian problems involving critical exponents and singular cylindricalpotential, by using the Nehari manifold.
SOME TOPOLOGICAL RESULTS AND A FIXED POINT THEOREM IN A-METRIC SPACES
Zeid I. AL-Muhiameed,Ghania Benhamdda,Mahmoud Bousselsal 경남대학교 기초과학연구소 2018 Nonlinear Functional Analysis and Applications Vol.23 No.3
In this paper, we prove some topological properties and a common fixed point type theorem for two self mappings on new generalized metric spaces, called A−metric spaces.
Zeid A. AlOthman,Mohammad Mezbaul Alam,Mu. Naushad 한국공업화학회 2013 Journal of Industrial and Engineering Chemistry Vol.19 No.3
Nernst–Planck equation was applied to study the heavy metal ion exchange kinetics over the surface of nylon 6,6 Zr(IV) phosphate at various temperatures under particle diffusion controlled phenomena. Various useful ion exchange kinetic parameters such as self-diffusion coefficient (Do), energy of activation (Ea), and entropy of activation (DS*) were evaluated to validate the ion exchange process for practical applicability of this composite cation exchanger in remediation processes of the environment. This study is also supported for the good selectivity of Cu(II) to validate the practical application of this cation exchanger in environmental analysis.
Abo-Zeid Salim Maha Ahmed,Bakrey Sherine,Elbadrawy Rania Elmohamady 대한마취통증의학회 2023 Korean Journal of Anesthesiology Vol.76 No.4
Background: The shivering effect after spinal anesthesia in total knee arthroplasty (TKA) is challenging for anesthesiologists. This study aimed to compare two administration routes of dexmedetomidine as a post-neuraxial shivering prevention measure and an adjunctive analgesic and sedative agent.Methods: Fifty-six patients were randomly allocated into two equal groups. The intravenous dexmedetomidine (IV dex) group received an IV infusion of 0.5 µg/kg dexmedetomidine diluted in 20 ml saline and an adductor canal block (ACB) consisting of 20 ml of 0.25% levobupivacaine and 1 ml saline. The adductor canal block dexmedetomidine (ACB dex) group received a 20 ml IV infusion of saline and an ACB consisting of 20 ml 0.25% levobupivacaine and 1 ml of 0.5 µg/kg dexmedetomidine.Results: The incidence of shivering 1 h post spinal anesthesia was equal in both groups (50%); however, the shivering grade was significantly lower in the IV dex group 1 h postoperatively. The onset of sensory block was significantly later in the IV dex group (22.14 ± 2.52 min) than in the ACB dex group (12 ± 3.31 min). Postoperative analgesic duration (h) was significantly longer in the ACB dex group (12.28 ± 4.47) compared to the IV dex group (9.28 ± 1.90). The sedation scores were also significantly higher in the IV dex group in the preoperative, intraoperative, and immediate postoperative periods.Conclusions: While perineural ACB dexmedetomidine had similar intraoperative anti-shivering with less sedative effects as IV dexmedetomidine, it was associated with both less shivering control and superior analgesia post-TKA under spinal anesthesia.
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.
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.
GLOBAL ASYMPTOTIC STABILITY OF A SECOND ORDER RATIONAL DIFFERENCE EQUATION
R. Abo-Zeid 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.3
The aim of this paper is to investigate the global stability, pe-riodic nature, oscillation and the boundedness of solutions of the difference equation [수식]where A, B are nonnegative real numbers and C,D >0.