Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem

WOS: 000374243400001The aim of this study is to investigate various qualitative properties of eigenvalues and corresponding eigenfunctions of one Sturm-Liouville problem with an interior singular point. We introduce a new Hilbert space and integral operator in it such a way that the problem under consideration can be interpreted as a spectral problem of this operator. By using our own approaches we investigate such properties as uniform convergence of the eigenfunction expansions, the Parseval equality, the Rayleigh-Ritz formula, the minimax principle, and the monotonicity of eigenvalues for the considered boundary value-transmission problem (BVTP)

From AKP’s ‘Conservative Democracy’ to ‘Advanced Democracy’: Shifts and Challenges in the Debate on ‘Europe’

Following the AKP's victory in the 2002 general elections, 'conservative democracy' has emerged as a trademark in Turkish politics, focusing on cosmopolitanism and European integration. In the late 2000s, the party's favourite notion was 'advanced democracy', this time underlining Turkey's leadership claim in the region and displaying a more critical approach to 'Europe'. In this paper, I aim to show how different narratives on 'Europe' emerged within the context of these empty signifiers. The paper claims that the difference in the two narratives on 'Europe' in two different periods does not point to a complete and fully fledged de-Europeanisation trend

In vitro and in vivo bacterial antifouling properties of phosphite plasma-Treated silicone

In order to improve their bacterial antifouling property, silicone surfaces were functionalized through the plasma polymerization (PP) technique using diethyl phosphite as the precursor. The functionalized surfaces were characterized using contact angle measurements, contact angle titration, Fourier transform infrared-Attenuated total reflection spectroscopy and in vitro cytotoxicity assay. The amount of non-specific protein adsorption and the conformational changes of surface-Adsorbed proteins were investigated. Antifouling properties of the surfaces were evaluated in vitro and in vivo. PP functionalization generated a hydrophilic and amphoteric surface with a very good protein and bacterial antifouling property and caused less conformational changes on the secondary structure of surface-Adsorbed proteins. In in vivo conditions, no slime layer was formed around bacteria that adhered on the PP-functionalized surface. It is concluded that the amphoteric nature of the PP-functionalized surface is the reason for the good antifouling property. © 2019 ICE Publishing: All rights reserved