No. 22(83) (2026): PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number

It was last issue prepated by old rules with old Editorial Board.
The “Precarpathian Bulletin of Shevchenko Scientific Society. Number” (ISSN 2304-7399) published scientific materials in the following areas up to April 2026:

111 - Mathematics

113 - Applied mathematics

133 - Branch engineering (machines of oil and gas industry)

185 - Oil and gas engineering and technology

Editor-in-Chief: В. М. Moisyshyn, Dr. Eng.

Managing editor: A.I. Bandura, Dr. Phys. Math. & V.V. Tyrlych, Cand. Eng.

DOI: https://doi.org/10.31471/2304-7399-2026-22(83)

Published: 2026-04-25

Full Issue

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Mathematics and Mechanics

Wiman's type inequality in the unit ball and the diagonal maximal term

Vitaliy Basovskyi, Andriy Bodnarchuk, Oleh Skaskiv, Oksana Trusevych

9-17
- pdf
Integral Representations Of Positive Definite Kernels For Second-Order Elliptic Operators

Ivanna Andrusiak, Oksana Brodyak

18-28
- pdf (Українська)
On the preservation of the boundedness of the $l$-index under the action of the Bernardi integral operator and the Ruscheweyh derivative

Vitalii Dehnerys

29-35
- pdf
Supersymmetric 2-homogeneous polynomials on $L_2((-\infty, +\infty))$

Yurii Sharyn

36-43
- pdf
Second mixed boundary value problem in half space for the generalized Kolmogorov equation

Ivan Burtniak, Anna Malytska

44-60
- pdf (Українська)
Approximation by parabolic systems of partial differential equations of higher order systems of quasilinear partial differential equations of the first order

Anatolii Kazmerchuk

61-66
- pdf (Українська)
Sparsification of Compact Ultrametrics

Oleh Nykyforchyn, Volodymyr Penhryn

67-75
- pdf
Degenerate Orthogonality in the Polynomial Space Induced by Discrete and Hermite-Type Local Functionals

Roman Malyarchuk, Volodymyr Pylypiv

76-87
- pdf
Way Below and Way Above Relation for Quotient Objects of Compacta

Kateryna Koporkh, Oksana Mykytsey

88-94
- pdf (Українська)
Initial-boundary value problem for a parabolic pseudodifferential equation with a third boundary condition on the hyperplane

Mykhailo Osypchuk, Sergii Didyk

95-104
- pdf (Українська)
One-step asymptotics of hyperplane crossings by a mixed stable-Brownian L´evy process

Ihor Melnyk

105-111
- pdf (Українська)
Model of Non-Linear Pricing with Lower Constraints on Buyers' Utilities

Iryna Nykyforchyn

112-124
- pdf

Oil and Gas Industry

Modeling and optimization of technological parameters for hydraulic fracturing in low-permeability reservoirs

L. B. Moroz, B. M. Hryhorash

125-140
- pdf (Українська)
Enhancing borehole wall stability during drilling of unstable intervals using biopolymer-silicate drilling fluids

I. F. Dudych, M. V. Seniushkovych, V. V. Bohoslavets, O. B. Martsynkiv, I. I. Vytvytskyi, R. R. Hanchuk

141-157
- pdf (Українська)
Investigation of the influence of PDC bit blade geometry on the rock cut-ting efficiency in hard abrasive formations

P. P. Geletii, Ya. M. Femiak

158-176
- pdf (Українська)
Fluid baths to ensure the stability of wellbores

L. R. Yurych, А. R. Yurych, D. М. Pytak

177-188
- pdf (Українська)
Increasing the tightness of threaded connections of casing strings based on finite element modeling

A. A. Zelinskyi

189-209
- pdf (Українська)
Technical diagnostics of long-term operated main gas pipelines for the temporary storage and transportation of carbon dioxide

Ye. I. Kryzhanivskyi, R. C. Hrabovskyi, V. R. Kovalchuk, V. V. Tyrlych

210-221
- pdf (Українська)
Mathematical modeling of oil leakage dynamics from a pipeline into a po-rous medium considering soil filtration resistance

B. V. Herasymenko, Yu. І. Doroshenko

222-233
- pdf (Українська)
Influence of operating conditions on changes in mechanical properties of drill string steel elements

V. I. Artym, B. A. Novoselskyi, I. O. Lastivka

234-247
- pdf (Українська)

No. 22(83) (2026): PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number

Full Issue

Mathematics and Mechanics

Wiman's type inequality in the unit ball and the diagonal maximal term

Integral Representations Of Positive Definite Kernels For Second-Order Elliptic Operators

On the preservation of the boundedness of the $l$-index under the action of the Bernardi integral operator and the Ruscheweyh derivative

Supersymmetric 2-homogeneous polynomials on $L_2((-\infty, +\infty))$

Second mixed boundary value problem in half space for the generalized Kolmogorov equation

Approximation by parabolic systems of partial differential equations of higher order systems of quasilinear partial differential equations of the first order

Sparsification of Compact Ultrametrics

Degenerate Orthogonality in the Polynomial Space Induced by Discrete and Hermite-Type Local Functionals

Way Below and Way Above Relation for Quotient Objects of Compacta

Initial-boundary value problem for a parabolic pseudodifferential equation with a third boundary condition on the hyperplane

One-step asymptotics of hyperplane crossings by a mixed stable-Brownian L´evy process

Model of Non-Linear Pricing with Lower Constraints on Buyers' Utilities

Oil and Gas Industry

Modeling and optimization of technological parameters for hydraulic fracturing in low-permeability reservoirs

Enhancing borehole wall stability during drilling of unstable intervals using biopolymer-silicate drilling fluids

Investigation of the influence of PDC bit blade geometry on the rock cut-ting efficiency in hard abrasive formations

Fluid baths to ensure the stability of wellbores

Increasing the tightness of threaded connections of casing strings based on finite element modeling

Technical diagnostics of long-term operated main gas pipelines for the temporary storage and transportation of carbon dioxide

Mathematical modeling of oil leakage dynamics from a pipeline into a po-rous medium considering soil filtration resistance

Influence of operating conditions on changes in mechanical properties of drill string steel elements

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