Journal Papers

1. S. Rakhmanov, C. Trunk, D. Matrasulov,
   Quantum particle under dynamical confinement: From quantum Fermi acceleration to high harmonic generation
   ↗ arXiv:2309.15389 
2. Serdyuk, A.S., Sokolenko,
   I.V. Asymptotic estimates for the widths of classes of functions of high smoothness
   Carpathian Mathematical Publications, ↗https://doi.org/10.15330/cmp.15.1.246-259
3. Serdyuk, A.S., Sokolenko,
   I.V. Asymptotic Estimates for the Best Uniform Approximations of Classes of Convolution of Periodic Functions of High Smoothness
   J. Math. Sci. 252, 526–540 (2021). ↗https://doi.org/10.1007/s10958-020-05178-1
4. Serdyuk, A.S., Stepanyuk, T.A.,
   Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals
   FILOMAT  (2020)  34:14 4697–4707
   ↗https://doi.org/10.2298/FIL2014697S
5. Abdullayev, F.; Chaichenko, S.; Shidlich,
   A. Direct and inverse approximation theorems of functions in the MusielakOrlicz type spaces. 
   Mathematical Inequalities & Applications. – 2021. – 24, №2. – pp. 323–336. DOI: ↗https://dx.doi.org/10.7153/mia-2021-24-23 (see also ↗https://doi.org/10.48550/arXiv.2004.09807)
6. Prestin, V. Savchuk, A. Shidlich,
   Approximation on hexagonal domains by Taylor-Abel-Poisson means
   to appear in J. Math. Anal. Appl.
   ↗ https://arxiv.org/abs/2210.16793 DOI  , ↗ https://doi.org/10.1016/j.jmaa.2023.127536
7. Assanova A.T., Bakirova E.A, and Uteshova R.E.
   Novel approach for solving multipoint boundary value problem for integro-differential equation
   Kazakh Mathematical Journal 20(1) 2020, 103-124. The full text is available on the ↗ journal website.
8. 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 
   J. Appl. Comput. Mech., 6(SI) (2020) pp.1426-1430, ↗DOI: /10.22055/JACM.2020.34950.2548.
   The full text is available on the ↗ journal website.
9. Aliev, F.A.,  Larin , V.B.,  Mammadova, G.H.
   🗎 Comments on “On a transformation of the *-congruence Sylvester equation for the least squares optimization” 
   by Satake, Y., Sogabe, T., Kemmochi, T., Zhang, S.L., TWMS J. Pure Appl. Math., 12(2), pp. 289-290. 2021 The full text is available on the ↗ journal website. 
10. 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. Volume 13, Number 2 (2022), 08 – 17.   ↗ https://doi.org/10.32523/2077-9879-2022-13-2-08-17
11. Aliev Fikret , Aliyev N.A. , Hajiyeva N.S., , Mahmudov N.I
    🗎 Some Mathematical Problems and their Solutions for the Oscillating Systems with Liquid Dampers: A Review.
    Appl. Comput. Math., V.20, N.3, 2021, pp.339-365.
12. Valerii Los, Vladimir Mikhailets, and Aleksandr Murach
    Parabolic problems in generalized Sobolev spaces
    Comm. Pure Appl. Anal., 2021, 20(10): 3589-3620. ↗https://doi.org./10.3934/cpaa.2021123 
13. Anna Anop, Robert Denk and Aleksandr Murach
    Elliptic problems with rough boundary data in generalized Sobolev spaces
    Comm. Pure Appl. Anal., 2021, 20(2): 697-735, ↗https://doi.org/10.3934/cpaa.2020286
14. Andrii Goriunov
    Multi-interval Sturm-Liouville problems with distributional coefficients
    Methods Funct. Anal. Topology 26 (2020), no. 2, 103-110. ↗doi: 10.31392/MFAT-npu26_2.2020.02
15. Iryna Chepurukhina, Aleksandr Murach
    Elliptic problems with unknowns on the boundary and irregular boundary data
    Methods Funct. Anal. Topology 26 (2020), no. 2, 91-102.
    ↗doi: 10.48550/arXiv.2006.08379
16. P. A. Cojuhari, L. P. Nizhnik
    Scattering problem for Dirac system with nonlocal potentials
    Methods Funct. Anal. Topology 25 (2019), no. 3, 211-218.
17. A. A. Boichuk, S. M. Chuiko
    On the approximate solution of weakly nonlinear boundary-value problems by the Newton – Kantorovich method
    Nonlinear Oscillations, 23 (2020), no. 3,  321-331.
    ↗doi/10.1007/s10958-022-05748-5
18. Anar T. Assanova a , RozaE. Uteshova
    🗎 A singular boundary value problem for evolution equations of hyperbolic type
    published in Chaos, Solitons and Fractals in 2021
    https://doi.org/10.1016/j.chaos.2020.110517 
19. V. Mikhailets, A. Murach, T. Zinchenko,
    An extended Hilbert scale and its applications, ↗arXiv:2102.08089,. 43 pp. (Submitted) doi: /10.48550/arXiv.2102.08089
20. A. Boichuk, S. M. Chuiko,
    On the approximate solution of weakly nonlinear boundary-value problems by the Newton – Kantorovich method, 
    J Math Sci 261, 228–240 (2022)
    ↗https://doi.org/10.1007/s10958-022-05748-5
21. Oleksandr Boichuk and Victor Feruk,
    Boundary-value problems for weakly singular integral equations,
    Discrete and Continuous Dynamical Systems – Series B, 2022, Volume 27, Issue 3: 1379-1395. ↗ https://doi.org/10.3934/dcdsb.2021094
22. Valerii Los, Vladimir Mikhailets, and Aleksandr Murach,
    Parabolic problems in generalized Sobolev spaces,
    Comm. Pure Appl. Anal., 2021, 20(10): 3589-3620. ↗ https://doi.org/10.3934/cpaa.2021123
23. Anna Anop, Robert Denk and Aleksandr Murach,
    Elliptic problems with rough boundary data in generalized Sobolev spaces,
    Comm. Pure Appl. Anal., 2021, 20(2): 697-735, ↗ https://doi.org/10.3934/cpaa.2020286
24. A. Anop, I. Chepurukhina, A. Murach,
    Elliptic problems with additional unknowns in boundary conditions and generalized Sobolev spaces,
    Axioms 10 (2021), article no. 292, 23 pp. ↗https://doi.org/10.3390/axioms10040292
25. I.S. Chepurukhina, A.A. Murach,
    Elliptic problems in Besov and Sobolev-Triebel-Lizorkin spaces,
    Dopov. Nac. Akad. Nauk Ukr 2021, no. 6, 3-11. ↗https://doi.org/10.48550/arXiv.2108.08741
26. D. S. Bihun, O. O. Pokutnyi, E. V. Panasenko.
    Autonomous nonlinear boundary-value problems for the Lyapunov equation in the Hilbert space.
    Ukr Math J 73 (7), 1009–1022 (2021).  ↗https://doi.org/10.1007/s11253-021-01973-4
27. Andrii Goriunov,
    Multi-interval Sturm-Liouville problems with distributional coefficients,
    Methods Funct. Anal. Topology 26 (2020), no. 2, 103-110. doi:10.31392/MFAT-npu26_2.2020.02
    
28. Iryna Chepurukhina, Aleksandr Murach,
    Elliptic problems with unknowns on the boundary and irregular boundary data,
    Methods Funct. Anal. Topology 26 (2020), no. 2, 91-102. P. A. Cojuhari, L. P. Nizhnik,
29. Scattering problem for Dirac system with nonlocal potentials,
    Methods Funct. Anal. Topology 25 (2019), no. 3, 211-218.
30. Carsten Trunk, Anar Assanova, and Roza Uteshova,
    ↗ On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients
    (submitted to ArXiv)
31. Nazarbay Bliev & Nurlan Yerkinbayev
    Riemann problem for multiply connected domain in Besov spaces
    Springer, Boundary Value Problems volume 2024, Article number: 70 (2024)
32. Roland Duduchava and Asselya Smadiyeva
    🗎 Fractional differential equations on Lie groups and submonoids
    DE GRUYTER, Georgian Math. J. YYYY; aop

33. A. Serdyuk, T. Stepaniuk
    Approximation of generalized Poisson integrals by interpolating trigonometric polynomials
    Ukrains’kyi Matematychnyi Zhurnal

34. J. Dittrich, S. Rakhmanov, D. Matrasulov
    Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force
    Physics Letters A

35. Pavel Exner, Jan Pekař
    Vertex coupling interpolation in quantum chain graphs
    Journal of Mathematical Physics

36. Marzieh Baradaran, Pavel Exner, Andrii Khrabustovskyi
    Quantum lattice transport along an infinitely extended perturbation
    Journal of Physics A: Mathematical and Theoretical

37. Pavel Exner
    Quantum graphs featuring unusual self-adjoint extensions
    Acta Polytechnica

38. Riccardo Adami, Ivan Gallo, David Spitzkopf
    Ground states for the NLS on non-compact graphs with an attractive potential
    Networks and Heterogeneous Media

39. Kuvonchbek Matchonov, Davron Matrasulov, Jaroslav Dittrich
    Dirac fermion in a time-dependent spherical box
    Acta Polytechnica

40. Pavel Exner, Olaf Post
    First order operators on shrinking graph-like spaces
    Journal of Physics A: Mathematical and Theoretical

41. Pavel Exner, David Spitzkopf
    Tunneling in soft waveguides: closing a book
    Journal of Physics A: Mathematical and Theoretical

42. Pavel Exner, Jonathan Rohleder
    Optimization of Quantum Graph Eigenvalues with Preferred Orientation Vertex Conditions
    Annales Henri Poincaré

43. Pavel Exner, David Spitzkopf
    Magnetic transport due to a translationally invariant potential obstacle
    Journal of Mathematical Physics

44. Vladimir Mikhailets, Aleksandr Murach, Oksana Tsyhanok
    A new look at old theorems of Fejér and Hardy
    ArXiv

45. Andrii Goriunov, Vladimir Mikhailets, Volodymyr Molyboga
    Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficients
    ArXiv

46. P. Exner, D. Spitzkopf
    Tunneling in soft waveguides: closing a book
    arXiv, submitted to J. Phys. A: Math. Gen.

47. R. Band, P. Exner
    Spectral statistics of preferred orientation quantum graphs
    arXiv:2508.04869v1

48. P. Exner, A. Khrabustovskyi
    A geometric approximation of non-local interface and boundary conditions
    arXiv:2505.19016v2

49. P. Exner, L. Morin
    The flea on the magnetic elephant
    arXiv:2505.12846v1 [math-ph]