No. 6 (2025): Reports of the National Academy of Sciences of Ukraine

DOI: https://doi.org/10.15407/dopovidi2025.06

Published: 01.01.2026

Mathematics

• BASES IN COMMUTATIVE ALGEBRAS OF SECOND RANK AND MONOGENIC FUNCTIONS RELATED TO GENERALIZED BIHARMONIC EQUATION WITH SIMPLE CHARACTERISTICS

  S.V. Gryshchuk

  3-14

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  DOI: https://doi.org/10.15407/dopovidi2025.06.003

• A NEW APPROACH TO SOLVING MATRIX PROBLEMS ON A SET OF NONCOMMUTATIVE MATRICES

  V.L. Makarov, O.F. Kashpur, B.O. Boichenko

  15-21

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  DOI: https://doi.org/10.15407/dopovidi2025.06.015

Information Science and Cybernetics

• STRATEGY FOR USING DIGITAL TWIN IN CONDITIONS OF UAV SWARM DECENTRALIZED CONTROL

  N.D. Pankratova, V.A. Pankratov, I.M. Golinko

  23-34

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  DOI: https://doi.org/10.15407/dopovidi2025.06.023

• OPTIMIZATION MODELS FOR BALANCING REGIONAL SYSTEMS IN SCENARIOS INVOLVING MAIN-NODE BLACKOUTS

  P.I. Stetsyuk, O.M. Khomiak

  35-46

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  DOI: https://doi.org/10.15407/dopovidi2025.06.035

• HILBERT TRANSFORM FOR ANALYZING STOCHASTIC MODULATION OF BI-PERIODICALLY NON-STATIONARY RANDOM SIGNAL

  I.M. Javorskyj, R.M. Yuzefovych, R.I. Pelypets, O.V. Lychak

  46-62

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  DOI: https://doi.org/10.15407/dopovidi2025.06.046

Mechanics

• ENERGY APPROACH IN MODERN FRACTURE MECHANICS

  O.Ye. Andreykiv, I.Ya. Dolinska

  61-73

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  DOI: https://doi.org/10.15407/dopovidi2025.06.061

• LOCAL BUCKLING OF THIN-FILM COATING UNDER PRESSURE ALONG INTERPHASE CRACK UNDER VARIOUS CONTACT CONDITIONS

  A.L. Kipnis

  74-84

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  DOI: https://doi.org/10.15407/dopovidi2025.06.074

Geosciences

• THE FIRST DISCOVERY OF ALLANITE-(CE) IN THE UKRAINIAN CARPATHIANS

  V.M. Belskyi, H.O. Kulchytska, K.I. Hoholev

  85-91

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  DOI: https://doi.org/10.15407/dopovidi2025.06.085