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APPROXImATE sOLUTION OF A p-th ROOT FUNCTIONAL EQUATION IN NON-ARCHImEDEAN (2,β)-BANACH sPACEs

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Acta mathematica scientia 2019年第2期39卷 369-381页

作者： Iz-iddine EL-FAssI Hamid KHODAEI them.s.ocles m.rassias Department of mathematics Faculty of SciencesIbn Tofail University Department of mathematics Malayer University Department of mathematics National Technical University of Athens Zografou Campus

In this paper, using the Brzdek's fixed point theorem [9,Theorem 1] in non-Archimedean(2,β)-Banach spaces, we prove some stability and hyperstability results for an p-th root functional equation ■where p∈{1, …, 5}... 详细信息

关键词： fixed point theorem p-th root functional equation stability non-Archimedean (2,β)-normed spaces

sTABILITY OF GENERALIZED DERIVATIONs ON HILBERT C*-mODULEs AssOCIATED WITH A PEXIDERIZED CAUCHY-JENsEN TYPE FUNCTIONAL EQUATION

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Acta mathematica scientia 2012年第3期32卷 1226-1238页

作者： Ali Ebadian Ismail Nikoufar them.s.ocles m.rassias Norouz Ghobadipour Department of mathematics Payame Noor UniversityPO Box 19395-3697 TehranIran Department of mathematics National Technical University of AthensZografouCampus 15780 AthensGreece Department of mathematics Urmia UniversityUrmiaIran

In this article, we introduce the notion of generalized derivations on Hilbert C＊-modules. We use a fixed-point method to prove the generalized Hyers-Ulam.rassias stability associated to the Pexiderized Cauchy-Jensen type functional equationrf（x＋y/r）＋sg（x-y/s）=2h（x）for r, s ∈ R ／ m.rassias on Hilbert C＊-modules, where f, g, and h are mappings from a Hilbert C＊-module m to m.

关键词： Hyers-Ulam.rassias stability Hilbert C*-module generalized derivation fixed point

Computational Fluid Dynamics Approach for Predicting Pipeline Response to Various Blast scenarios: A Numerical modeling study

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Computer modeling in Engineering & sciences 2024年第9期140卷 2747-2777页

作者： Farman saifi mohd Javaid Abid Haleem s.m.Anas Department of mechanical Engineering Jamia Millia Islamia(A Central University)New Delhi110025India Department of Civil Engineering Jamia Millia Islamia(A Central University)New Delhi110025India

Recent industrial explosions globally have intensified the focus in mechanical engineering on designing infras-tructure systems and networks capable of withstanding blast *** centered on high-profile facilities such as embassies and petrochemical plants,this concern now extends to a wider array of infrastructures and *** and scholars increasingly prioritize structural safety against explosions,particularly to prevent disproportionate collapse and damage to nearby *** has further amplified the reliance on oil and gas pipelines,making them vital for urban life and prime targets for terrorist ***,there is a growing imperative for computational engineering solutions to tackle blast loading on pipelines and mitigate associated risks to avert *** this study,an empty pipe model was successfully validated under contact blast conditions using Abaqus software,a powerful tool in mechanical engineering for simulating blast effects on buried *** a Eulerian-Lagrangian computational fluid dynamics approach,the investigation extended to above-surface and below-surface blasts at standoff distances of 25 and 50 *** descriptions in the numerical model relied on Abaqus’default mechanical *** analysis revealed varying pipe performance,with deformation decreasing as explosion-to-pipe distance *** explosion’s location relative to the pipe surface notably influenced deformation levels,a key finding highlighted in the ***,quantitative findings indicated varying ratios of plastic dissipation energy(PDE)for different blast scenarios compared to the contact blast(P0).specifically,P1(25 mm subsurface blast)and P2(50 mm subsurface blast)showed approximately 24.07%and 14.77%of P0’s PDE,respectively,while P3(25 mm above-surface blast)and P4(50 mm above-surface blast)exhibited lower PDE values,accounting for about 18.08%and 9.67%of P0’s PDE,***

关键词： Blast loading computational fluid dynamics computer modeling pipe networks response prediction structural safety

Twinning aspects and their efficient roles in wrought mg alloys:A comprehensive review

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Journal of magnesium and Alloys 2024年第6期12卷 2201-2230页

作者： s.s.A.shah manping Liu Azim Khan Farooq Ahmad m.R.Abdullah Xingquan Zhang shiwei Xu Zhen Peng school of materials science and Engineering Jiangsu UniversityZhenjiang 212013China school of mechanical Engineering Anhui University of TechnologyMáanshan 243002China College of mechanical and Vehicle Engineering Hunan UniversityChangsha 410082China

Twinning is widely recognized as an effective and cost-efficient method for controlling the microstructure and properties of wrought magnesium(mg)***,twins play a crucial role in initiating dynamic recrystallization(DRX),while twin regions experience rapid recrystallization during static recrystallization(sRX).The activation of twinning can lead to changes in lattice orientation,significantly impacting the final texture in mg *** active roles of twinning are influenced by various factors during the activation process,and the mobility of twin boundaries(TB)can be amplified by stress effects,dislocation interactions,and thermal ***,annealing treatments that involve proper segregation or precipitation on TBs serve to stabilize them,restraining their *** such as segregation may also alter the twinning propensity in magnesium-rare earth(mg-RE)***{10–11}contraction twins(CT)and{10–11}-{10–12}double twins(DT)can promote dynamic recrystallization(DRX),they also pose a risk as potential sources of voids and ***,understanding the nucleation and growth mechanisms of twinning is crucial,and these aspects are briefly reviewed in this *** the factors mentioned above,this article summarizes the recent research progress in this field,shedding light on advancements in recent eras.

关键词： mg alloys Twinning Recrystallization Texture mechanical properties

On thermoelastic problem based on four theories with the efficiency of the magnetic field and gravity

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Journal of Ocean Engineering and science 2024年第4期9卷 338-347页

作者： A.A.Kilany A.N.Abd-alla A.m.Abd-Alla s.m.Abo-Dahab Department of mathematics Faculty of ScienceSohag UniversitySohag 82524 Egypt Department of Computer science Faculty of Computers and InformationLuxor UniversityEgypt Department of mathematics Faculty of ScienceSouth Valley UniversityQena 83523Egypt

The fundamental objective of this paper is to study the effectiveness of magnetic field and gravity on an isotropic homogeneous thermoelastic structure based on four theories of generalized *** another meaning,the models of coupled dynamic theory(CDT),Lord-shulman(Ls),Green-Lindsay(GL)as well as Green-Naghdi(GN II)will be taken in the ***,applying the harmonic method(normal mode technique),the solution of the governing equations and the expressions for the components of the displacement,temperature and(mechanical and maxwell’s)stresses is taken into account and calculated *** impacts of the gravity and magnetic field are illustrated graphically which are pronounced on the different physical ***,the results of some research that others have previously obtained may be found some or all of them as special cases from this study.

关键词： Generalized thermoelasticity Gravity magnetic field Green and Naghdi TheoryⅡ Normal mode approach

Effect of Ta_(2)O_(5)nanoparticles on bioactivity,composition,structure,in vitro and in vivo behavior of PEO coatings on mg-alloy

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Journal of magnesium and Alloys 2024年第6期12卷 2360-2379页

作者： D.V.mashtalyar I.m.Imshinetskiy V.V.Kashepa K.V.Nadaraia m.A.Piatkova A.I.Pleshkova K.A.Fomenko A.Yu.Ustinov s.L.sinebryukhov s.V.Gnedenkov Institute of Chemistry Far Eastern BranchRussian Academy of SciencesVladivostok690022Russia Far Eastern Federal University Vladivostok690950Russia Regional Clinical Dermatovenerological Dispensary Vladivostok690033Russia

The present study investigates the physical and chemical characteristics,behavior in vitro and in vivo,and biocompatibility of coatings containing Ta_(2)O_(5),which are obtained by plasma electrolytic oxidation(PEO)on mA8 magnesium *** obtained coatings demonstrate in vivo biocompatibility and in vitro *** to the base PEO coating,the layers containing Ta_(2)O_(5)facilitate the development of apatite in simulated body fluid,suggesting that the inclusion of nanoparticles improves bioactivity of the *** was found that incorporation of Ta_(2)O_(5)nanoparticles increases roughness and porosity of the formed layers by increasing particle concentration in electrolytes for the PEO process contributing to sufficient soft tissue ingrowth in *** on in vivo studies,these coatings also provide favorable tissue response and minimal inflammatory reaction in comparison with the bare magnesium alloy due to protection of living tissues from deleterious corrosion events of magnesium implant such as local alkalization and intense hydrogen *** results obtained in the present study concluded biocompatibility,tissue integration of the PEO coatings containing Ta_(2)O_(5)nanoparticles making them a promising protective layer for biodegradable magnesium implants.

关键词： Plasma electrolytic oxidation Bioactive coatings Tantalum pentoxide simulated body fluid(sBF) Apatite formation Histology

Unraveling the nature of sensing in electrostatic mEms gas sensors

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microsystems & Nanoengineering 2024年第3期10卷 109-117页

作者： Yasser s.shama sasan Rahmanian Hamza mouharrar Rana Abdelrahman Alaaeldin Elhady Eihab m.Abdel-Rahman systems Design Engineering University of Waterloo200 University Ave WWaterloo N2L 3G1 ONCanada mechanical Engineering Benha Faculty of EngineeringBenha UniversityBenha 13511Egypt

This paper investigates the fundamental sensing mechanism of electrostatic mEms gas *** compares among the responsivities of a set of mEms isopropanol sensors before and after functionalization,and in the presence and absence of electrostatic fields when operated in static and dynamic detection *** the static mode,we found that the sensors do not exhibit a measurable change in displacement due to added *** the other hand,bare sensors showed a clear change in displacement in response to isopropanol *** the dynamic mode,functionalized sensors showed a measurable frequency shift due to the added mass of isopropanol *** the presence of strong electrostatic fields,the measured frequency shift was found to be threefold larger than that in their absence in response to the same concentration of isopropanol *** enhanced responsivity of dynamic detection allows the sensors to measure the vapor mass captured by the functional material,which is not the case for static *** detection of isopropanol by bare sensors in static mode shows that change in the medium permittivity is the primary sensing *** enhanced responsivity of dynamic mode sensors when operated in strong electrostatic fields shows that their sensing mechanism is a combination of a weaker added mass effect and a stronger permittivity *** findings show that electrostatic mEms gas sensors are independent of the direction of the gravitational field and are,thus,robust to changes in *** is erroneous to refer to them as‘gravimetric’sensors.

关键词： mechanism electrostatic measurable

Outcomes of long-acting injectable antipsychotics use in pregnancy:A literature review

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World Journal of Psychiatry 2024年第4期14卷 582-599页

作者： Ana V Pejčić srdjan m stefanović milošN milosavljević Vladimir s Janjić marko m Folić Nevena D Folić Jovana Z milosavljević Department of Pharmacology and Toxicology Faculty of Medical SciencesUniversity of KragujevacKragujevac 34000Serbia Department of Pharmacy Faculty of Medical SciencesUniversity of KragujevacKragujevac 34000Serbia Department of Clinical Pharmacology University Clinical Center KragujevacKragujevac 34000Serbia Department of Psychiatry Faculty of Medical SciencesUniversity of KragujevacKragujevac 34000Serbia Clinic for Psychiatry University Clinical Center KragujevacKragujevac 34000Serbia Center for Pharmaceutical and Pharmacological Research Faculty of Medical SciencesUniversity of KragujevacKragujevac 34000Serbia Department of Pediatrics Faculty of Medical SciencesUniversity of KragujevacKragujevac 34000Serbia Pediatric Clinic University Clinical Center KragujevacKragujevac 34000Serbia Department of Anatomy Faculty of Medical SciencesUniversity of KragujevacKragujevac 34000Serbia

BACKGROUND Women with a history of serious psychotic disorders are at increased risk of disease relapse during ***-acting injectable(LAI)antipsychotics have been widely used to improve adherence and prevent relapse in patients with various severe psychotic disorders,but there is a lack of high-quality data from previous research on the safety of LAI antipsychotics during *** To summarize relevant data on maternal,pregnancy,neonatal,and developmental outcomes from published cases of LAI antipsychotic use in *** A literature search was performed through November 11,2023,using three online databases:Pubmed/mEDLINE,scopus,and Web of *** reports or case series that reported information about the outcomes of pregnancy in women who used LAI antipsychotics at any point in pregnancy,with available full texts,were *** statistics,narrative summation,and tabulation of the extracted data were *** A total of 19 publications satisfied the inclusion criteria:3 case series,15 case reports,and 1 conference *** reported the outcomes of LAI antipsychotic use in 74 women and 77 *** use of secondgeneration LAI antipsychotics was reported in the majority(n=47;61.0%)of ***-generation LAI antipsychotics were administered during 30 pregnancies(39.0%).most of the women(approximately 64%)had either satisfactory control of symptoms or no information about relapse,while approximately 12%of them had developed gestational diabetes mellitus.A minority of cases reported adverse outcomes such as stillbirth,spontaneous abortion,preterm birth,low birth weight,congenital anomalies,and neurological manifestations in ***,there were no reports of negative long-term developmental *** Currently available data seem reassuring,but further well-designed studies are required to properly evaluate the risks and benefits of LAI antipsychotic use during pregnancy.

关键词： Antipsychotic agents Long-acting injectable Pregnancy Outcome Review

Fuzzy Difference Equations in Diagnoses of Glaucoma from Retinal Images Using Deep Learning

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Computer modeling in Engineering & sciences 2024年第4期139卷 801-816页

作者： D.Dorathy Prema Kavitha L.Francis Raj sandeep Kautish Abdulaziz s.Almazyad Karam m.sallam Ali Wagdy mohamed Department of mathematics Voorhees CollegeVelloreTamil NaduIndia Chandigarh Group of Colleges JhanjeriMohaliPunjabIndia Department of Computer Engineering College of Computer and Information SciencesKing Saud UniversityP.O.Box 51178Riyadh11543Saudi Arabia Faculty of science and Technology School of IT and SystemsUniversity of CanberraCanberraAustralia Operations Research Department Faculty of Graduate Studies for Statistical ResearchCairo UniversityGiza12613Egypt Applied science Research Center Applied Science Private UniversityAmman11937Jordan

The intuitive fuzzy set has found important application in decision-making and machine *** enrich and utilize the intuitive fuzzy set,this study designed and developed a deep neural network-based glaucoma eye detection using fuzzy difference equations in the domain where the retinal images *** image detections are categorized as normal eye recognition,suspected glaucomatous eye recognition,and glaucomatous eye *** degrees associated with weighted values are calculated to determine the level of concentration between the fuzzy partition and the retinal *** proposed model was used to diagnose glaucoma using retinal images and involved utilizing the Convolutional Neural Network(CNN)and deep learning to identify the fuzzy weighted regularization between *** methodology was used to clarify the input images and make them adequate for the process of glaucoma *** objective of this study was to propose a novel approach to the early diagnosis of glaucoma using the Fuzzy Expert system(FEs)and Fuzzy differential equation(FDE).The intensities of the different regions in the images and their respective peak levels were *** the peak regions were identified,the recurrence relationships among those peaks were then *** partitioning was done due to varying degrees of similar and dissimilar concentrations in the *** and dissimilar concentration levels and spatial frequency generated a threshold image from the combined fuzzy matrix and *** distinguished between a normal and abnormal eye condition,thus detecting patients with glaucomatous eyes.

关键词： Convolutional Neural Network(CNN) glaucomatous eyes fuzzy difference equation intuitive fuzzy sets image segmentation retinal images