Atılım University (In Turkish: Atılım Üniversitesi) is a private university, created in 1997. It is located in Ankara, the capital of Turkey. The language of instruction for most courses is English. Education programs are at international standards (e.g. ABET 2000). Atılım University was chosen as one of the best 401-500 universities in the World in 2016 by London-based The Higher Education (THE) and has been highly ranked by many other institutions..
. This research work investigates the well-posedness of a mixed boundary value problem for the n-dimensional wave equation subject to Cauchy and non-homogeneous Neumann conditions within the framework of Sobolev spaces. The primary scientific novelty of this study lies in the construction of the analytical solution for an n-dimensional physical process governed by a source term given in the separable form f (x, t) = Pn(t) & centerdot; F(x, t). Here, Pn(t) represents an nth degree algebraic polynomial, while F(x, t) denotes a Fourier series. The uniqueness of the solution u(x, t) is rigorously sought within the appropriate functional space W2,1 the Sobolev spaces W21 (ohm) and L2(ohm), whereas the non-homogeneous Neumann boundary condition is prescribed by the function g(x, t).
In this study, six new Pt(II) complexes containing pyridine- and thiophene-based oxime ligands were synthesized as potential antitumour active compounds and characterized as platinumoxime coordination compounds. 1(Pyridin-2-yl)ethanone oxime (2-acetylpyridine oxime, L1) and 1-(thiophen-2-yl)ethan-1-oxime (2-acetylthiophene oxime, L2) were employed as ligands. The L1-based complexes were formulated as [Pt(NH3)Cl(L1)]NO3 (Asy1), [Pt(L1)2]Cl2 (Bis1), and [PtCl2(L1)] (Cis1), whereas the L2-based complexes were obtained as [Pt(NH3)Cl (L2)]NO3 (Asy2), [Pt(L2)2]Cl2 (Bis2), and [PtCl2(L2)] (Cis2). Structural characterization was performed using elemental analysis, FT-IR, NMR, and mass spectrometry techniques. The interactions of the synthesized Pt(II) complexes with calf thymus DNA (ct-DNA) were investigated using electrochemical, spectroelectrochemical, and agarose gel electrophoresis methods. Spectral changes and electrochemical titration data suggested that the interaction with ct-DNA is dominated by electrostatic contributions, with binding constants (Kb) in the range of 2.62 & times; 102-3.07 & times; 103 M- 1. Gel electrophoresis experiments demonstrated that DNA cleavage activity strongly depends on coordination geometry, ligand structure, and experimental conditions, with cis-configured complexes exhibiting higher nuclease activity at lower concentrations. This study also investigated the effects of the synthesized Pt(II) complexes on antioxidant and detoxification enzymes (GST, GPX, and CAT). The L2-based complexes, especially Bis2 and Asy2, showed strong effects on these enzymes, highlighting the importance of sulfur donor ligands, such as thiphene oxime, and ligand design in improving platinum-based anticancer drugs.
In this paper, we address two open problems posed by Martinez, Gupta and Quoos in [24]. We solve both problems completely and therefore generalize [28, Theorems 3.4 and 3.5]. We study polynomials of the form f(x) = x3g(xq-1) over the finite field F-2k such that g(x) = h(x) + xu+ xv, where h(x) = ax(4) + bx(3) + cx(2) + bx + a is a self-reciprocal polynomial with a, b, c is an element of F-2k and (u, v) is an element of {(3, -1), (1, -1), (2, -2), (2, -1)}. The studied classes of polynomials either generalize some existing pentanomials and hexanomials or they are not quasi-multiplicative equivalent to any of the known permutation polynomials in the literature. We find necessary and sufficient conditions on a, b, c is an element of F-2k so that f(x) is a permutation polynomial for F-22k. Moreover, we show that some known permutation pentanomials are QM equivalent. (c) 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
The profust reliability is based on fuzzy state assumption for the system under concern and uses probability measure in reliability evaluation. In this study, the profust reliability of the parallel system that consists of non-identical components is considered by defining an appropriate membership function which depends on the number of failed components. The profust reliability of the system follows a mixture model. Age-based replacement policy is also studied and necessary conditions are obtained for the existence of the finite and unique optimal replacement time.
ABSTRACT In this study, graphene oxide (GO)‐modified poly (phenylene oxide, PPO) anion exchange membranes (F/GO) were developed for application in anion exchange membrane electrolyzers (AEMELs). The incorporation of GO enhanced membrane hydration, ion‐exchange capacity, and hydroxide‐ion conductivity, resulting in an ~15% increase in current density at 2.0 V and 80°C (0.551 A/cm2) compared with the pristine membrane (0.480 A/cm−2). The F/GO membranes also showed enhanced hydrogen production rates and an HHV‐based energy efficiency of 76% at 0.5 A/cm2 and 80°C. These results underscore the potential for F/GO membranes in scalable AEMEL applications. Mechanical and alkaline stability tests confirmed robustness under harsh conditions. These findings demonstrate that the incorporation of GO provides a simple, scalable, and potentially lower‐cost modification strategy compared with highly engineered polymer architectures, while also improving overall electrolyzer performance, highlighting the potential of GO‐modified membranes for practical hydrogen production in AEMEL systems.
