Nonlinear differential equation stability is a very important feature of applied mathematics, as it has a wide variety of applications in both practical and physical life problems. The major object of the manuscript is to discuss and apply several techniques using modify the Krasovskii's method and the modify variable gradient method which are used to check the stability for some kinds of linear or nonlinear differential equations. Lyapunov function is constructed using the variable gradient method and Krasovskii’s method to estimate the stability of nonlinear systems. If the function of Lyapunov is positive, it implies that the nonlinear system is asymptotically stable. For the nonlinear systems, stability is still difficult even though the Lyapunov methods are applied. There has to find a positive definite Lyapunov function, and its derivative function has to be negative definite. A new approach had been tested in several …
The study aimed to prepare a nanocapsules formulation from the acetonic extract of Moringa oleifera leaves, using polymeric capsules, and test its toxicity against the third instar larvae of Culex pipiens mosquitoes. The leaf extract was prepared using acetone as a solvent, and the nano polymeric capsules were prepared using the synthetic polymer polyethylene glycol 4000. The results showed the successful preparation of nano polymeric capsules from the leaf extract, with an average particle size of 259.2 nm, and a nanocapsule diameter of 263.83 nm, as determined by DLS and SEM analysis, respectively. The toxicity results indicated that the nano polymeric capsules of the leaf extract exhibited higher mortality rates, reaching 97.6% a
... Show MoreBackground A case-control study was performed to explore eight pro-inflammatory and anti-inflammatory cytokines, namely interleukin (IL)-1α, IL-1Ra (IL-1 receptor antagonist), IL-12, IL-17A, IL-31, IL-33, CXCL10 (C-X-C motif chemokine ligand 10), and CXCL16, with the aim to understand their role in ankylosing spondylitis (AS) pathogenesis and evaluate their utility as markers to differentiate between diseased and healthy individuals. Among these cytokines, IL-31 and CXCL16 have not been well studied in AS. Patients and methods The study included 94 male patients with AS and 91 age-matched control males. Interleukin and chemokine levels were measured using ELISA kits. Results Serum levels of IL-17A, CXCL10, and CXCL16 were significantly ele
... Show MoreThis study aimed to evaluate the health effects of exposure to particulate matter (PM2.5 and PM10) and gaseous pollutants, including carbon dioxide (CO2), carbon monoxide (CO), nitrogen dioxide (NO2), and sulfur dioxide (SO2), on the hematological parameters of workers exposed to charcoal grilling emissions in restaurants. Air pollutant concentrations were measured in six barbecue restaurants located in Al-Rusafa District, Baghdad, during December 2024 and January 2025. Nine measurements were recorded monthly during morning and evening peak cooking periods. Blood samples were collected from two groups: grilling workers exposed directly to charcoal smoke (n = 30) and customers from dining areas as the control group (n = 30). Hematological an
... Show MoreLithium-based rechargeable batteries (LbRBs) are essential for applications in vehicles, wearable electronics, and large-scale energy storage due to their high energy density. However, safety concerns associated with flammable organic electrolytes hinder further development. Advancing Li-ion battery technology requires improved conductivity, energy density, and safety, particularly in the development of all-solid-state lithium-ion batteries (ASSLiBs). This work explores carboxymethyl cellulose (CMC)-based solid polymer electrolytes (SPEs) as sustainable alternatives for lithium-ion batteries. The synergistic effects of 1-butyl-3-methyl imidazolium chloride ([BMIm]Cl) ionic liquid, as a plasticizer, and lithium acetate (LiCH3COO) enhance the
... Show MoreThe aim of this paper is to investigate the effects of Nd:YAG laser shock processing (LSP) on micro-hardness and surface roughness of 86400Cu-Zn alloy. X-ray fluorescence technique was used to analyze the chemical composition of this alloy. LSP treatment was performed with a Q-switched Nd: YAG laser with a wavelength of 1064 nm. The results show that laser shock processing can significantly increase. The micro-hardness and surface roughness of the LSP-treated sample. Vickers diamond indenter was used to measure the micro-hardness of all samples with different laser pulse energy and the different number of laser pulses. It is found that the metal hardness can be significantly increased to more than 80% by increasing the laser energy and t
... Show MoreIn the cuurent article, the photophysical properties of 3,6-bis(5-bromothiophen-2-yl)-2,5-bis(2-ethylhexyl)-2,5-dihydropyrrolo[3,4-c]pyrrole-1,4-dione were investigated. The visible absorption bands at 527, 558 and 362 nm in propylene carbonate and the compound was found to be fluorescent in solution and in the plastic film with emission wavelengths between 550- 750 nm. The Stokes Shift of P.C., acetonitrile, diethyl ether, Tetrahydrofuran THF, cyclohexane, dibutyl ether, and dichloromethane DCM are 734, 836, 668, 601, 601, 719, and 804 cm-1 in respectively. The Stokes Shift Δ was less in THF and cyclohexane, than the solvents, which indicates that the energy loss is less between the excitation and fluorescence states. The
... Show MoreThis research display a selected sample of Regelson's texts, there were interrelations and interactions unfolded so as to show his creativity in the employment of religious texts. In the story "In the Youth of Moses", he inter-texted the episode of the Prophet Moses from the Torah, the Source of legislation, to signify a legislative issue needed by the community. As for the story of "Samson, One of the Falling", he originated the character of The Judge Samson by alluding to the Book of the Judges, which is the Book which reminded of the defeat and slavery of the Palestinians by a Jewish leader, as is related in Jewish religious texts. Further, and the story of "And Haman Said", he chose the story of the Queen Esther from the Book of Esth
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