8 articles in this issue
Nikolaj Mormul`,Alexander Shchitov
The Faber-Schauder system of functions was introduced in 1910 and became the first example of a basis in the space of continuous on [0, 1] functions. A number of results are known about the properties of the Faber-Schauder system, including esti... see more
Serhii Choporov,Serhii Homeniuk,Sergii Grebenyuk,Oleksii Kudin
In the process of designing structures from inhomogeneous materials, there is the need to build discrete models that consider the peculiarities of the geometrical shape of subdomains from different materials. The first stage in the modeling of such struct... see more
Lyudmila Chernova,Sergiy Titov,Sergii Chernov,Kateryna Kolesnikova,Liubava Chernova,Viktor Gogunskii
The rigorous formal algorithm for formulating a dual problem for different forms (general, basic, standard, and canonical) of a primal linear programming problem is proposed. First, definitions of a pair of dual problems for standard form of primal linear... see more
Lev Raskin,Oksana Sira
A method for solving the fractional nonlinear optimization problem has been proposed. It is shown that numerous inventory management tasks, on the rational allocation of limited resources, on finding the optimal paths in a graph, on the rational organizat... see more
Mykola Fedula,Tetiana Hovorushchenko,Andrii Nicheporuk,Valeriy Martynyuk
The results of detection of periodic signals using the chaos theory based on discrete processing of the Duffing attractor in the Poincare section were considered.A chaotic Duffing system characterized by high sensitivity to periodic signals and a possibil... see more
Qiang Guo,Valerii Semenets,Valeriy Bezruk,Mykola Kaliuzhnyi,Yu Zheng
Traditionally, the problems of routing in communication networks are solved based on the scalar approach, which takes into consideration only one quality indicator. However, information transmission in communication networks is characterized by a totality... see more
Petro Lizunov,Andrii Biloshchytskyi,Alexander Kuchansky,Yurii Andrashko,Svitlana Biloshchytska
For the problem of formation of project teams, in particular, scientific research project groups, there was proposed the comprehensive method, which consists of the two-stage method for clustering the graph of citation of scientists» publications and the ... see more