TURK 2025

This work is devoted to investigating the inverse problem of determining the right-hand side for a one-dimensional linear differential pseudoparabolic equation of fourth order with an initial and homogeneous boundary conditions, and overdetermination conditions. The inverse problem reduces to system of Volterra linear integral equations of the second kind using integral equations method and...

Abstract
Artificial intelligence (AI) tools are now widely applied in fields such as education, healthcare, finance, biology, programming, and translation. The history of AI dates back to the 1950s with Alan Turing's article "Can Machines Think?" Since the 2010s, AI development has rapidly accelerated. OpenAI released models like ChatGPT-2 (2019), ChatGPT-3 (2020), and DALL·E (2021), which...

The work is devoted to calculation of the mathematical model of filtration-reabsorption processes in capillaries. Blood flow through the circulatory system is accompanied by filtration-reabsorption processes of liquid in capillaries. It is known that the intercellular space contains water and salt solutions. Under normal conditions, the equilibrium between the volumes of filtration and...

Consider the Cauchy problem for a system of ordinary differential equations with a small parameter:
\begin{equation}
L_\varepsilon u(x,\varepsilon) \equiv \varepsilon u'(x) + A(x)u(x) = f(x), \quad x \in (0,1], \quad u(0,\varepsilon) = u^0 \tag{1}
\end{equation}
under the following assumptions: the matrix $A(x) \in C^\infty\left([0,1], \mathbb{C}^{n \times n}\right)$ is positive definite,...

Ensuring efficient service and security in computer networks is one of the main issues in facilitating data exchange and communication. Over time, with the increasing usage, congestion and security issues may arise in computer networks. Even in local area networks (LANs) that use FastEthernet technology, this issue can occur. Therefore, this paper provides information about the advantages of...

Competition in today’s business and production world leads the companies to generate schedules that increase productivity and decrease manufacturing cost. However, most of the schedules cannot be executed exactly because of the unexpected disruptions such as machine breakdowns, order cancellations and so forth. In order to develop disruption resistant schedules, robust scheduling subject has...

Following Kyrgyzstan's declaration of independence on 31 August 1991, Turkey became the first country to recognize its sovereignty on 16 December 1991. This significant diplomatic step was soon followed by the adoption of initial legal regulations to formalize bilateral relations, laying the groundwork for diplomatic, economic, and cultural cooperation. This study examines the earliest legal...