Vol. 21 No. 1 (2024): Actual problems of modern mathematics: methods, models and applications

Актуальні проблеми сучасної математики: методи, моделі та застосування

The collection ''Current Problems in Modern Mathematics: Methods, Models, and Application`` presents review papers by young researchers in key areas of mathematics. The articles cover problems in operator theory, evolutionary equations, boundary value problems, algebraic structures, and fractal analysis. The volume also features approaches to group representations, cohomology, and nonlinear dynamics.

Intended for researchers, lecturers, and graduate students engaged in contemporary mathematical research.

Published: 2025-08-18

Full Issue

Research papers

  • Boundary value problems for integrodifferential equations

    Ivanna Bondar
    1-12
    DOI: https://doi.org/10.3842/trim.v21n1.537

  • Kinetic cluster expansions of generating operators of solutions of hierarchies of evolution equations

    Ihor Gapyak
    13-34
    DOI: https://doi.org/10.3842/trim.v21n1.538

  • On group classification of differential equations: algebraic approach

    Sofiia Huraka, Oleksandra Lokaziuk
    35-58
    DOI: https://doi.org/10.3842/trim.v21n1.539

  • Dependence of effective properties on regular perturbations

    Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino, Roman Pukhtaievych
    59-70
    DOI: https://doi.org/10.3842/trim.v21n1.540

  • Extremal decomposition of the complex plane with free poles on the unit circle

    Iryna Denega, Yaroslav Zabolotnyi
    71-81
    DOI: https://doi.org/10.3842/trim.v21n1.541

  • On the asymptotic behavior at infinity of ring and lower Q-homeomorphisms with respect to the p-modulus

    Bogdan Klishchuk, Ruslan Salimov, Mariia Stefanchuk
    82-101
    DOI: https://doi.org/10.3842/trim.v21n1.542

  • Representation of some classes of quaternionic hyperholomorphic functions

    Tetiana Kuzmenko, Vitalii Shpakivskyi
    102-120
    DOI: https://doi.org/10.3842/trim.v21n1.543

  • Representation and cohomologies of groups and semigroups

    Andriiana Plakosh
    121-148
    DOI: https://doi.org/10.3842/trim.v21n1.544

  • Estimates of characteristics of nonlinear approximation of classes of periodic functions

    Kateryna Pozharska
    149-168
    DOI: https://doi.org/10.3842/trim.v21n1.545

  • Spatial oscillations of a liquid in a vertical cylindrical container

    Ihor Raynovskyy
    169-179
    DOI: https://doi.org/10.3842/trim.v21n1.547

  • Fractal analysis of functions with complex local structure

    Sofiia Ratushniak
    180-190
    DOI: https://doi.org/10.3842/trim.v21n1.548

  • Nonlinear properties of trajectories in models of dynamic conflict system

    Oksana Satur
    191-204
    DOI: https://doi.org/10.3842/trim.v21n1.549

  • Algebraic structure of the fundamental group of orbits of smooth functions on the 2-torus

    Bohdan Feshchenko
    205-216
    DOI: https://doi.org/10.3842/trim.v21n1.550