Table of Contents

Journal Articles

• Jürgen Prestin, Viktor Savchuk, Andrii Shidlich.
  Approximation on hexagonal domains by Taylor-Abel-Poisson means.
  Journal of Mathematical Analysis and Applications 528(2), 2023.
  DOI: https://doi.org/10.1016/j.jmaa.2023.127536

  arXiv: https://arxiv.org/abs/2210.16793
• A. T. Assanova, E. A. Bakirova, R. E. Uteshova.
  Novel approach for solving multipoint boundary value problem for integro-differential equation.
  Kazakh Mathematical Journal 20(1), 2020, pp. 103–124.
  DOI: https://doi.org/10.48550/arXiv.2309.15805

  arXiv: https://arxiv.org/abs/2309.15805
• A. Abildayeva, A. Assanova, A. Imanchiyev.
  A Multi-Point Problem for a system of Differential Equations with Piecewise-Constant a Argument of generalized Type as a Neural Network Model.
  Eurasian Mathematical Journal 13(2), 2022, pp. 8–17.
  DOI: https://doi.org/10.32523/2077-9879-2022-13-2-08-17
• Valerii Los, Vladimir Mikhailets, Aleksandr Murach.
  Parabolic problems in generalized Sobolev spaces.
  Communications on Pure and Applied Analysis 20(10), 2021, pp. 3589–3620.
  DOI: https://doi.org/10.3934/cpaa.2021123
• Anna Anop, Robert Denk, Aleksandr Murach.
  Elliptic problems with rough boundary data in generalized Sobolev spaces.
  Communications on Pure and Applied Analysis 20(2), 2021, pp. 697–735.
  DOI: https://doi.org/10.3934/cpaa.2020286
• Andrii Goriunov.
  Multi-interval Sturm-Liouville problems with distributional coefficients.
  Methods of Functional Analysis and Topology 26(2), 2020, pp. 103–110.
  DOI: https://doi.org/10.31392/MFAT-npu26_2.2020.02
• Iryna Chepurukhina, Aleksandr Murach.
  Elliptic problems with unknowns on the boundary and irregular boundary data.
  Methods of Functional Analysis and Topology 26(2), 2020, pp. 91–102.
  DOI: https://doi.org/10.31392/MFAT-npu26_2.2020.01

  arXiv: https://arxiv.org/abs/2006.08379
• A. A. Boichuk, S. M. Chuiko.
  On the approximate solution of weakly nonlinear boundary-value problems by the Newton–Kantorovich method.
  Journal of Mathematical Sciences 261(2), 2022, pp. 228–240.
  DOI: https://doi.org/10.1007/s10958-022-05748-5
• Oleksandr Boichuk, Victor Feruk.
  Boundary-value problems for weakly singular integral equations.
  Discrete and Continuous Dynamical Systems – Series B 27(3), 2022, pp. 1379–1395.
  DOI: https://doi.org/10.3934/dcdsb.2021094
• A. Anop, I. Chepurukhina, A. Murach.
  Elliptic problems with additional unknowns in boundary conditions and generalized Sobolev spaces.
  Axioms 10(4), 2021, Article 292.
  DOI: https://doi.org/10.3390/axioms10040292
• D. S. Bihun, O. O. Pokutnyi, E. V. Panasenko.
  Autonomous nonlinear boundary-value problems for the Lyapunov equation in the Hilbert space.
  Ukrainian Mathematical Journal 73(7), 2021, pp. 1009–1022.
  DOI: https://doi.org/10.1007/s11253-021-01973-4
• Fahreddin Abdullayev, Stanislav Chaichenko, Andrii Shidlich.
  Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces.
  Mathematical Inequalities & Applications 24(2), 2021, pp. 323–336.
  DOI: https://doi.org/10.7153/mia-2021-24-23

  arXiv: https://arxiv.org/abs/2004.09807
• A. S. Serdyuk, T. A. Stepanyuk.
  Asymptotically best possible Lebesgue-type inequalities for the Fourier sums on sets of generalized Poisson integrals.
  FILOMAT 34(14), 2020, pp. 4697–4707.
  DOI: https://doi.org/10.2298/FIL2014697S
• Anatolii S. Serdyuk, Igor V. Sokolenko.
  Asymptotic Estimates for the Best Uniform Approximations of Classes of Convolution of Periodic Functions of High Smoothness.
  Journal of Mathematical Sciences 252(4), 2021, pp. 526–540.
  DOI: https://doi.org/10.1007/s10958-020-05178-1
• A. S. Serdyuk, I. V. Sokolenko.
  Asymptotic estimates for the widths of classes of functions of high smoothness.
  Carpathian Mathematical Publications 15(1), 2023, pp. 246–259.
  DOI: https://doi.org/10.15330/cmp.15.1.246-259
• A. Serdyuk, T. Stepaniuk.
  Approximation of generalized Poisson integrals by interpolating trigonometric polynomials.
  Ukrains’kyi Matematychnyi Zhurnal 75(7), 2023.
  DOI: https://doi.org/10.37863/umzh.v75i7.7523
• Nazarbay Bliev, Nurlan Yerkinbayev.
  Riemann problem for multiply connected domain in Besov spaces.
  Boundary Value Problems, Article 70, 2024.
  DOI: https://doi.org/10.1186/s13661-024-01883-x
• J. Dittrich, S. Rakhmanov, D. Matrasulov.
  Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force.
  Physics Letters A 503, 2024.
  DOI: https://doi.org/10.1016/j.physleta.2024.129408
• Pavel Exner, Jan Pekař.
  Vertex coupling interpolation in quantum chain graphs.
  Journal of Mathematical Physics 65, 2024.
  DOI: https://doi.org/10.1063/5.0208361
• S. Rakhmanov, C. Trunk, M. Znojil, D. Matrasulov.
  PT-symmetric dynamical confinement: Fermi acceleration, quantum force, and Berry phase.
  Physical Review A 109, 2024.
• Marzieh Baradaran, Pavel Exner, Andrii Khrabustovskyi.
  Quantum lattice transport along an infinitely extended perturbation.
  Journal of Physics A: Mathematical and Theoretical 58, 2025.
  DOI: https://doi.org/10.1088/1751-8121/adc646
• Pavel Exner.
  Quantum graphs featuring unusual self-adjoint extensions.
  Acta Polytechnica 65, 2025.
  DOI: https://doi.org/10.14311/AP.2025.65.0539
• Riccardo Adami, Ivan Gallo, David Spitzkopf.
  Ground states for the NLS on non-compact graphs with an attractive potential.
  Networks and Heterogeneous Media 20, 2025.
  DOI: https://doi.org/10.3934/nhm.2025015
• Kuvonchbek Matchonov, Davron Matrasulov, Jaroslav Dittrich.
  Dirac fermion in a time-dependent spherical box.
  Acta Polytechnica 65, 2025.
  DOI: https://doi.org/10.14311/AP.2025.65.0546
• Ram Band, Pavel Exner, Divya Goel, Aviya Strauss.
  Spectral statistics of preferred orientation quantum graphs.
  Journal of Mathematical Physics 67.
  Publisher: https://pubs.aip.org/

  arXiv: https://arxiv.org/abs/2508.04869
• Pavel Exner, Olaf Post.
  First order operators on shrinking graph-like spaces.
  Journal of Physics A: Mathematical and Theoretical 58, 2025.
  DOI: https://doi.org/10.1088/1751-8121/adeb1a
• Pavel Exner, Léo Morin.
  The flea on the Magnetic Elephant.
  Letters in Mathematical Physics 116.
  DOI: https://doi.org/10.1007/s11005-026-02055-x

  arXiv: https://arxiv.org/abs/2505.12846
• Pavel Exner, David Spitzkopf.
  Tunneling in soft waveguides: closing a book.
  Journal of Physics A: Mathematical and Theoretical 57.
  DOI: https://doi.org/10.1088/1751-8121/ad2c80
• Pavel Exner, Jonathan Rohleder.
  Optimization of Quantum Graph Eigenvalues with Preferred Orientation Vertex Conditions.
  Annales Henri Poincaré.
  DOI: https://doi.org/10.1007/s00023-025-01574-y
• Pavel Exner, David Spitzkopf.
  Magnetic transport due to a translationally invariant potential obstacle.
  Journal of Mathematical Physics 66.
  DOI: https://doi.org/10.1063/5.0244807
• V. A. Derkach, C. Trunk, J. R. Yusupov, D. U. Matrasulov.
  Transparent boundary conditions for the stationary Schrödinger equation via Weyl–Titchmarsh theory.
  Journal of Physics A: Mathematical and Theoretical 58.
  DOI: https://doi.org/10.1088/1751-8121/adf787
• Anar T. Assanova, Elmira A. Bakirova, Zhazira M. Kadirbayeva, Roza E. Uteshova.
  A computational method for solving a problem with parameter for linear systems of integro-differential equations.
  Computational and Applied Mathematics 39, 2020.
  DOI: https://doi.org/10.1007/s40314-020-01298-1
• Fikret A. Aliev, N. A. Aliev, N. I. Velieva, N. A. Safarova.
  Larin Parameterization to Solve the Problem of Analytical Construction of the Optimal Regulator of Oscillatory Systems with Liquid Dampers.
  Journal of Applied and Computational Mechanics 6(SI), 2020, pp. 1426–1430.
  DOI: https://doi.org/10.22055/JACM.2020.34950.2548
• F. A. Aliev, V. B. Larin, G. H. Mammadova.
  Comments on “On a transformation of the *-congruence Sylvester equation for the least squares optimization”.
  TWMS Journal of Pure and Applied Mathematics 12(2), 2021, pp. 289–290.
• Fikret Aliev, N. A. Aliyev, N. S. Hajiyeva, N. I. Mahmudov.
  Some Mathematical Problems and their Solutions for the Oscillating Systems with Liquid Dampers: A Review.
  Applied and Computational Mathematics 20(3), 2021, pp. 339–365.
• Anar T. Assanova, Roza E. Uteshova.
  A singular boundary value problem for evolution equations of hyperbolic type.
  Chaos, Solitons and Fractals, 2021.
  DOI: https://doi.org/10.1016/j.chaos.2020.110517
• P. A. Cojuhari, L. P. Nizhnik.
  Scattering problem for Dirac system with nonlocal potentials.
  Methods of Functional Analysis and Topology 25(3), 2019, pp. 211–218.
  URL: https://mfat.imath.kiev.ua/
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Conference Papers / Proceedings

• L. Nizhnik.
  Self-adjoint operators with nonlocal potential.
  In: Proceedings of the 7th International Conference on Control and Optimization with Industrial Applications (COIA 2020), Vol. 1, Baku, 26.–28. August 2020, pp. 20–22.
  URL: https://coia-conf.org/
• F. A. Aliev, N. A. Aliev, N. A. Safarova.
  New representation of the Mittag-Leffler function through the exponential functions with rational derivatives.
  In: Proceedings of the 7th International Conference on Control and Optimization with Industrial Applications, Vol. 1, 2020, pp. 80–82.
  DOI: https://doi.org/10.48550/arXiv.1904.12737
• F. A. Aliev, N. S. Hajiyeva, A. A. Namazov, N. A. Safarova.
  Asymptotical method to solution the identification problem for determining the parameters of discrete dynamical systems.
  In: Proceedings of the 7th International Conference on Control and Optimization with Industrial Applications, Vol. 1, 2020, pp. 92–94.
• N. A. Aliev, N. A. Safarova, F. A. Aliev, N. I. Velieva.
  Cauchy problem of the fractional order linear ordinary differential equations.
  In: Proceedings of the 7th International Conference on Control and Optimization with Industrial Applications, Vol. 1, 2020, pp. 101–103.
• A. S. Serdyuk, I. V. Sokolenko.
  Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness.
  In: The international scientific conference “Theory of approximations and its application” dedicated to the 100th anniversary of the birth of Mykola Pavlovich Korneychuk, Dnipro, 16.–19. September 2020, Book of Abstracts, p. 25.
  URL: https://at2020.dnu.dp.ua/
• A. S. Serdyuk, I. V. Sokolenko.
  Estimates for best uniform approximations of classes of convolutions of periodic functions of high smoothness.
  In: 11th International Skorobohatko Mathematical Conference, Lviv, 26.–30. October 2020, Abstracts, p. 103.
  URL: https://iapmm.lviv.ua/
• A. S. Serdyuk, I. V. Sokolenko.
  On asymptotic estimates for the widths of classes of functions of high smoothness.
  In: International Online Workshop on Approximation Theory (IOWAT-2021), Ivano-Frankivsk, 19.–21. March 2021, Book of Abstracts, p. 34.
  URL: https://conference.pnu.edu.ua/
• A. S. Serdyuk, I. V. Sokolenko.
  On asymptotic equations for the widths of classes of the generalized Poisson integrals.
  In: Mathematical Analysis, Differential Equations & Applications (MADEA-9), Bishkek, 21.–25. June 2021, Conference Abstracts, p. 73.
  DOI: https://doi.org/10.13140/RG.2.2.14947.73768
• A. S. Serdyuk, I. V. Sokolenko.
  Asymptotic behavior of the widths of classes of the generalized Poisson integrals.
  In: International scientific online conference “Algebraic and geometric methods of analysis”, 29. May – 1. June 2023, Book of Abstracts, pp. 109–111.
  URL: https://imath.kiev.ua/
• A. S. Serdyuk, I. V. Sokolenko.
  Approximation by interpolation trigonometric polynomials in the classes of Weyl-Nagy differentiable functions with high exponent of smoothness.
  In: International scientific conference “MATHEMATICS AND INFORMATION TECHNOLOGIES”, dedicated to the 55th anniversary of the Faculty of Mathematics and Informatics of Yuri Fedkovich Chernivtsi National University, Chernivtsi, 28.–30. September 2023, Book of Abstracts.
  URL: https://fmi.chnu.edu.ua/
• Anar T. Assanova, Askarbek E. Imanchiyev.
  A nonlocal problem for hyperbolic equations with impulse discrete memory.
  In: International scientific conference “MATHEMATICS AND INFORMATION TECHNOLOGIES”, dedicated to the 55th anniversary of the Faculty of Mathematics and Informatics of Yuri Fedkovich Chernivtsi National University, Chernivtsi, 28.–30. September 2023, Book of Abstracts.
  URL: https://fmi.chnu.edu.ua/
• A. Boichuk, V. Feruk.
  A weakly perturbed linear boundary value problem for a system of differential equations of fractional order.
  In: International scientific conference “MATHEMATICS AND INFORMATION TECHNOLOGIES”, dedicated to the 55th anniversary of the Faculty of Mathematics and Informatics of Yuri Fedkovich Chernivtsi National University, Chernivtsi, 28.–30. September 2023, Book of Abstracts.
  URL: https://fmi.chnu.edu.ua/
• A. S. Serdyuk, I. V. Sokolenko.
  Estimations of the widths of classes of the generalized Poisson integrals of periodic functions.
  In: Current Problems of Mechanics and Mathematics – 2023: Collection of Scientific Papers, 2023, pp. 307–308.
  URL: https://iapmm.lviv.ua/
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Preprints / Other

• S. Rakhmanov, C. Trunk, D. Matrasulov.
  Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation.
  arXiv preprint, 2023.
  arXiv: https://arxiv.org/abs/2309.15389
• Vladimir Mikhailets, Aleksandr Murach, Tetiana Zinchenko.
  An extended Hilbert scale and its applications.
  arXiv preprint, 2021.
  DOI: https://doi.org/10.48550/arXiv.2102.08089

  arXiv: https://arxiv.org/abs/2102.08089
• I. S. Chepurukhina, A. A. Murach.
  Elliptic problems in Besov and Sobolev-Triebel-Lizorkin spaces of low regularity.
  Reports of the National Academy of Sciences of Ukraine, No. 6.
  DOI: https://doi.org/10.48550/arXiv.2108.08741

  URL: https://dspace.nbuv.gov.ua/
• Carsten Trunk, Anar Assanova, Roza Uteshova.
  On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients.
  Preprint/Technische Universität Ilmenau, Institut für Mathematik, Bd. 23-06.
  URL: https://www.db-thueringen.de/
• Vladimir Mikhailets, Aleksandr Murach, Oksana Tsyhanok.
  A new look at old theorems of Fejér and Hardy.
  arXiv preprint.
  DOI: https://doi.org/10.48550/arXiv.2307.15511

  arXiv: https://arxiv.org/abs/2307.15511
• Andrii Goriunov, Vladimir Mikhailets, Volodymyr Molyboga.
  Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficients.
  arXiv preprint.
  DOI: https://doi.org/10.48550/arXiv.2110.11750

  arXiv: https://arxiv.org/abs/2110.11750
• A. S. Serdyuk, I. V. Sokolenko.
  Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness.
  arXiv preprint.
  DOI: https://doi.org/10.48550/arXiv.2008.01450

  arXiv: https://arxiv.org/abs/2008.01450
• Akramov, Mashrab; Trunk, Carsten; Yusupov, Jambu; Matrasulov, Davron.
  Discrete Schrödinger equation on graphs: an effective model for branched quantum lattice.
  Preprint/Technische Universität Ilmenau, Institut für Mathematik, Bd. 24-03.
  URL: https://www.db-thueringen.de/
• P. Exner, D. Spitzkopf.
  Tunneling in soft waveguides: closing a book.
  arXiv preprint, submitted to Journal of Physics A.
  DOI: https://doi.org/10.48550/arXiv.2307.01536

  arXiv: https://arxiv.org/abs/2307.01536
• P. Exner, A. Khrabustovskyi.
  A geometric approximation of non-local interface and boundary conditions.
  arXiv preprint.
  arXiv: https://arxiv.org/abs/2505.19016
• Roland Duduchava, Asselya Smadiyeva.
  Fractional differential equations on Lie groups and submonoids.
   
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