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2026-03-12
SELMA ÖZÇAĞ
This paper considers set selectively star countable chain condition in a bitopological setting, exploring its fundamental topological properties and its relationships with the existing selective covering properties. Furthermore we investigate a game-theoretic characterizations of the selectively countable chain condition property in bitopological spaces.
2026-03-12
YASEMİN BAŞCI et al.
In this study, we investigate the existence of solutions for a quadratic integral equation of the Fredholm type. The analysis is conducted on a finite interval bounded by two arbitrary constants, where the unknown function is associated with a prescribed kernel and two operators satisfying specific regularity and boundedness conditions. The methodological framework of this work is built upon the classical Schauder fixed point theorem, complemented by the structural properties of Hölder spaces. The results obtained not only encompass but also extend several previous contributions in the literature, as the discussion is carried out within a generalized setting over the entire interval. Moreover, an illustrative example is provided to highlight the effectiveness and applicability of the proposed approach.
2026-03-12
AHLÈME BOUAKKAZ et al.
In this paper, we will establish the existence of positive periodic solutions for a class of first order iterative functional differential equations by using a powerful and effective technique based on the Krasnoselskii fixed point theorem together with some useful properties of a Green's function. The obtained results that complement some previous works, are illustrated with an example.
2026-03-12
UĞUR DURSUN
In this paper, we study space-like, time-like and light-like Killing magnetic curves derived from Killing magnetic vector fields of the anti-de Sitter space H 3 1 by using the half-space model H 3 1 of H 3 1 . We find the first integrals of the system of nonlinear differential equations that describe the Killing magnetic curves corresponding to some Killing vector fields of H 3 1 , and then we give some particular solutions to obtain space-like, time-like and light-like magnetic curves of H 3 1 . Also, we calculate the curvature and torsion of some space-like and time-like Killing magnetic curves, and the torsion of light-like Killing magnetic curves of H 3 1 .