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Spectral Optimization: From Mathematics to Physics and Advanced Technology

Rezultaty

Explanation of vertex coupling influence

Analysis of spectral properties depending on the network geometry and topology, spectral optimization and control. Two or three published journal articles or preprints.

1-d perturbations and controllability

Explanation of the interplay of 1-d perturbations and controllability of the spectrum of DAE's. Two or three published journal articles or preprints.Extension to operators (which corresponds to partial differential equations).

Localization properties of bases and frames on the multivariate torus

Localization properties of bases and frames on the multivariate torus. Two or three published journal articles or preprints.

Publikacje

Representation of the Mittag-Leffler function through the exponential functions in the case of rational derivatives

Autorzy: Fikret A. Aliev , N.A .Aliev , N.A. Safarova
Opublikowane w: Proceedings of the 7th International Conference on Control and Optimization with Industrial Applications, Numer Volume 1, 2020, Strona(/y) 80-82, ISBN 9789952378610
Wydawca: COIA
DOI: 10.48550/arxiv.1904.12737

Asymptotic behavior of the widths of classes of the generalized Poisson integrals

Autorzy: A.S. Serdyuk, I. V. Sokolenko
Opublikowane w: International scientific online conference «Algebraic and geometric methods of analysis» May 29 - June 1, 2023, dedicated to 160th anniversary of D.O.Grave, Numer Book of Abstracts, 2023, Strona(/y) 109-110
Wydawca: Institute of Mathematics of NAS of Ukraine

Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness

Autorzy: A.S. Serdyuk, I.V. Sokolenko
Opublikowane w: "International scientific conference ""Theory of approximations and its application"" is dedicated to the 100th anniversary of the birth of Mykola Pavlovich Korneychuk (September 16-19, 2020, Dnipro, Ukraine)", Numer Book of Abstracts, 2020, Strona(/y) P. 25
Wydawca: Oles Honchar Dnipro National University

A weakly perturbed linear boundary value problem for a system of differential equations of fractional order

Autorzy: A. Boichuk, V. Feruk
Opublikowane w: International scientific conference «MATHEMATICS AND INFORMATION TECHNOLOGIES» dedicated to the 55th anniversary of the faculty mathematics and informatics of Yuri Fedkovich Chernivtsi National University, (Chernivtsi, September 28-30, 2023), Numer Book of Abstracts, 2023, Strona(/y) 159-160
Wydawca: Yuri Fedkovich Chernivtsi National University

Approximation by interpolation trigonometric polynomials in the classes of Weyl-Nagy differentiable functions with high exponent of smoothness

Autorzy: A.S. Serdyuk, I. V. Sokolenko
Opublikowane w: International scientific conference «MATHEMATICS AND INFORMATION TECHNOLOGIES» dedicated to the 55th anniversary of the faculty mathematics and informatics of Yuri Fedkovich Chernivtsi National University, (Chernivtsi, September 28-30, 2023), Numer Book of Abstracts, 2023, Strona(/y) 303-304
Wydawca: Yuri Fedkovich Chernivtsi National University

Estimates for best uniform approximations of classes of convolutions of periodic functions of high smoothness

Autorzy: Anatolii Serdyuk, Igor Sokolenko
Opublikowane w: XI International Skorobohatko mathematical conference (October 26 – 30, 2020, Lviv, Ukraine), Numer Book of Abstracts, 2020, Strona(/y) P. 103, ISBN 978-966-02-9390-8
Wydawca: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

A nonlocal problem for hyperbolic equations with impulse discrete memory

Autorzy: Assanova Anar T., Imanchiyev Askarbek E.
Opublikowane w: International scientific conference «MATHEMATICS AND INFORMATION TECHNOLOGIES» dedicated to the 55th anniversary of the faculty mathematics and informatics of Yuri Fedkovich Chernivtsi National University, (Chernivtsi, September 28-30, 2023), Numer Book of Abstracts, 2023, Strona(/y) 11-12
Wydawca: Yuri Fedkovich Chernivtsi National University

On asymptotic equations for the widths of classes of the generalized Poisson integrals

Autorzy: A.S. Serdyuk, I. V. Sokolenko
Opublikowane w: Current problems of Mechanics and Mathematics-2023, Numer Collection of Scientific Papers, 2023, Strona(/y) 307-308
Wydawca: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of Ukraine

On asymptotic estimates for the widths of classes of functions of high smoothness

Autorzy: A.S. Serdyuk, I. V. Sokolenko
Opublikowane w: International Online Workshop on Approximation Theory (IOWAT-2021) (March 1921, 2021), Numer Book of Abstracts, 2021, Strona(/y) 34-35, ISBN 978-617-8011-11-6
Wydawca: Vasyl Stefanyk Precarpathian National University

Asymptotical method to solution the identification problem for determining the parameters of discrete dynamical systems

Autorzy: Aliev, F. A., Hajiyeva, N. S., Namazov, A. A., Safarova, N. A.
Opublikowane w: Proceedings of the7th International Conference on Control and Optimization with Industrial Applications, Numer VOL. 1, 2020, Strona(/y) 92-94, ISBN 9789952378603
Wydawca: COIA

On asymptotic equations for the widths of classes of the generalized Poisson integrals

Autorzy: A.S. Serdyuk, I. V. Sokolenko
Opublikowane w: International Conference Mathematical Analysis, Differential Equations & Applications (MADEA-9) (Bishkek, Kyrgyz Republic, June 21-25, 2021), Numer Book of Abstracts, 2021, Strona(/y) P. 73, ISSN 978-9967-9294-4-9-978-9967-9294-5-6
Wydawca: Kyrgyz-Turkish Manas University

Cauchy problem of the fractional order linear ordinary differential equations

Autorzy: Aliev, N. A., Safarova, N. A., Aliev, F. A., Velieva, N. I.
Opublikowane w: Proceedings of the7th International Conference on Control and Optimization with Industrial Applications, Numer VOL. 1, 2020, Strona(/y) 101-103
Wydawca: COIA

Self-adjoint operators with nonlocal potential

Autorzy: L. Nizhnik
Opublikowane w: Proceedings of 7th International Conference on Control and Optimization with Industrial Applications, Numer V1, 2022, 2022, Strona(/y) p,20-22, ISBN 9789952378610
Wydawca: Baku State University

Larin Parameterization to Solve the Problem of Analytical Construction of the Optimal Regulator of Oscillatory Systems with Liquid Dampers

Autorzy: Fikret A. Aliev, N.A. Aliev , N.I. Velieva, N.A. Safarova.
Opublikowane w: Journal of Applied and Computational Mechanics, Numer 6(SI) (2020), 2020, Strona(/y) Pages 1426-1430, ISSN 2383-4536
Wydawca: Shahid Chamran University of Ahvaz
DOI: 10.22055/jacm.2020.34950.2548

An extended Hilbert scale and its applications

Autorzy: Vladimir Mikhailets, Aleksandr Murach, Tetiana Zinchenko
Opublikowane w: 2021, Strona(/y) 43 pages
Wydawca: arxiv
DOI: 10.48550/arxiv.2102.08089

Tunneling in soft waveguides: closing a book

Autorzy: P. Exner, D. Spitzkopf
Opublikowane w: arXiv, submitted to J. Phys. A: Math. Gen., 2023
Wydawca: arXiv

CORRESPONDENCEComments on “On a transformation of the *-congruence Sylvester equation for theleast squares optimization” by Satake, Y., Sogabe, T., Kemmochi, T., Zhang, S.L.

Autorzy: Aliev, F.A., Larin , V.B., Mammadova, G.H.
Opublikowane w: TWMS Journal of Pure and Applied Mathematics, Numer V.12, N.2, 2021, 2021, Strona(/y) pp.289-290
Wydawca: TWMS Journal of Pure and Applied Mathematics

Some Mathematical Problems and their Solutions for the Oscillating Systems with Liquid Dampers: A Review.

Autorzy: Aliev Fikret , Aliyev N.A. , Hajiyeva N.S., , Mahmudov N.I
Opublikowane w: Journal of Applied and Computational Mathematics, Numer V.20, N.3, 2021, 2021, Strona(/y) pp.339-365.
Wydawca: ?

A new look at old theorems of Fejér and Hardy

Autorzy: Vladimir Mikhailets, Aleksandr Murach, Oksana Tsyhanok
Opublikowane w: ArXiv, 2023, Strona(/y) 12 Pages
Wydawca: arXiv
DOI: 10.48550/arxiv.2307.15511

Elliptic problems in Besov and Sobolev-Triebel-Lizorkin spaces of low regularity

Autorzy: I.S. Chepurukhina, A.A. Murach
Opublikowane w: Reports of the National Academy of Sciences of Ukraine, Numer no. 6, 2021, Strona(/y) 3-11
Wydawca: Arxiv
DOI: 10.48550/arxiv.2108.08741

Povzner-Wienholtz-type theorems for Sturm-Liouville operators with singular coefficients

Autorzy: Andrii Goriunov, Vladimir Mikhailets, Volodymyr Molyboga
Opublikowane w: ArXiv, 2021, Strona(/y) 10 Pages
Wydawca: ArXiv
DOI: 10.48550/arxiv.2110.11750

Scattering problem for Dirac system with nonlocal potentials

Autorzy: P. A. Cojuhari, L. P. Nizhnik
Opublikowane w: Methods Funct. Anal. Topology, Numer Vol. 25 (2019), no. 3, 2019, Strona(/y) 211–218, ISSN 2415-7503
Wydawca: Methods of Functional Analysis and Topology (MFAT)

On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients

Autorzy: Carsten Trunk, Anar Assanova, and Roza Uteshova
Opublikowane w: In Serie: Preprint/Technische Universität Ilmenau, Institut für Mathematik, Numer Bd. 23-06, 2023, Strona(/y) 7 pages
Wydawca: dbt

Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness

Autorzy: Serdyuk, A. S.; Sokolenko, I. V.
Opublikowane w: ArXiv, 2020, Strona(/y) 19 Pages
Wydawca: ArXiv
DOI: 10.48550/arxiv.2008.01450

Elliptic problems with rough boundary data in generalized Sobolev spaces

Autorzy: Anna Anop, Robert Denk and Aleksandr Murach
Opublikowane w: Comm. Pure Appl. Anal., Numer Volume 20, Numer 2, 2021, Strona(/y) 697-735, ISSN 1534-0392
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2020286

Boundary-value problems for weakly singular integral equations

Autorzy: Oleksandr Boichuk and Victor Feruk
Opublikowane w: Discrete and Continuous Dynamical Systems – Series, Numer Volume 27, Numer 3, 2022, 2022, Strona(/y) 1379-1395, ISSN 1531-3492
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/dcdsb.2021094

Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals

Autorzy: Serdyuk, A.S., Stepanyuk, T.A.
Opublikowane w: FILOMAT, Numer Volume 34, Numer 14, 2020, 2020, Strona(/y) 4697–4707, ISSN 0354-5180
Wydawca: Universitet of Nis
DOI: 10.2298/fil2014697s

On the Approximate Solution of Weakly Nonlinear Boundary-Value Problems by the Newton–Kantorovich Method

Autorzy: A. A. Boichuk & S. M. Chuiko
Opublikowane w: Journal of Mathematical Sciences, Numer Volume 261, Number 2, 2022, 2022, Strona(/y) 228–240, ISSN 1072-3374
Wydawca: Plenum Publishers
DOI: 10.1007/s10958-022-05748-5

Multi-interval Sturm-Liouville problems with distributional coefficients

Autorzy: Andrii Goriunov
Opublikowane w: Methods Funct. Anal. Topology, Numer Vol. 26, no. 2, 2020, Strona(/y) 103-110, ISSN 2415-7503
Wydawca: Methods of Functional Analysis and Topology (MFAT)
DOI: 10.31392/mfat-npu26_2.2020.02

A Multi-Point Problem for a system of Differential Equations with Piecewise-Constant a Argument of generalized Type as a Neural Network Model.

Autorzy: A. Abildayeva, A. Assanova, A. Imanchiyev
Opublikowane w: Eurasian Mathematical Journal, Numer Volume 13, Number 2 (2022),, 2022, Strona(/y) 08 – 17., ISSN 2077-9879
Wydawca: L. N. Gumilyov Eurasian National University
DOI: 10.32523/2077-9879-2022-13-2-08-17

Asymptotic Estimates for the Best Uniform Approximations of Classes of Convolution of Periodic Functions of High Smoothness

Autorzy: Anatolii S. Serdyuk and Igor V. Sokolenko
Opublikowane w: Journal of Mathematical Sciences, Numer Volume 252, Number. 4, 2021, 2021, ISSN 1072-3374
Wydawca: Plenum Publishers
DOI: 10.1007/s10958-020-05178-1

Riemann problem for multiply connected domain in Besov spaces

Autorzy: Nazarbay Bliev & Nurlan Yerkinbayev
Opublikowane w: Boundary Value Problems, Numer Article number: 70 (2024), 2024, ISSN 1687-2770
Wydawca: Springer Nature
DOI: 10.1186/s13661-024-01883-x

Asymptotic estimates for the widths of classes of functions of high smoothness

Autorzy: A.S. Serdyuk, I.V. Sokolenko
Opublikowane w: Carpathian Mathematical Publications, Numer Volume 15, Number 1, 2023, 2023, Strona(/y) 246-259, ISSN 2313-0210
Wydawca: Precarpathian National University
DOI: 10.15330/cmp.15.1.246-259

Novel approach for solving multipoint boundary value problem for integro-differential equation

Autorzy: Assanova A.T., Bakirova E.A, and Uteshova R.E.
Opublikowane w: Kazakh Mathematical Journal, Numer Vol. 20 No. 1, 2020, 2020, ISSN 2413-6468
Wydawca: Institute of Mathematics and Mathematical Modeling

Elliptic problems with additional unknowns in boundary conditions and generalized Sobolev spaces

Autorzy: A. Anop, I. Chepurukhina, A. Murach,
Opublikowane w: Axioms, Special Numer Boundary-Value and Spectral Problems, Numer 10(4), 2021, Strona(/y) article no. 292, 23 pp., ISSN 2075-1680
Wydawca: MDPI
DOI: 10.3390/axioms10040292

A singular boundary value problem for evolution equations of hyperbolic type

Autorzy: Anar T. Assanovaa, Roza E. Uteshova
Opublikowane w: Chaos, Solitonen und Fraktale, Numer Volume 143, 2021, ISSN 0000-0000
Wydawca: ELSEVIER
DOI: 10.1016/j.chaos.2020.110517

Elliptic problems with unknowns on the boundary and irregular boundary data

Autorzy: Iryna Chepurukhina, Aleksandr Murach
Opublikowane w: Methods Funct. Anal. Topology, Numer 26, no. 2, 2020, Strona(/y) 91-102, ISSN 1029-3531
Wydawca: Methods of Functional Analysis and Topology (MFAT)
DOI: 10.48550/arxiv.2006.08379

Direct and inverse approximation theorems of functions in the MusielakOrlicz type spaces

Autorzy: Fahreddin Abdullayev, Stanislav Chaichenko, Andrii Shidlich
Opublikowane w: Mathematical Inequalities & Applications, Numer Volume 24, Number 2, 2021, 2021, Strona(/y) 323–336, ISSN 1331-4343
Wydawca: Element d.o.o.
DOI: 10.7153/mia-2021-24-23

Autonomous nonlinear boundary-value problems for the Lyapunov equation in the Hilbert space

Autorzy: D. S. Bihun, O. O. Pokutnyi, E. V. Panasenko.
Opublikowane w: Ukrainian Mathematical Journal, Numer Volume 73, Number 7, 2021, 2021, Strona(/y) 1009–1022, ISSN 0041-5995
Wydawca: Consultants Bureau
DOI: 10.1007/s11253-021-01973-4

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials

Autorzy: A. Serdyuk, T. Stepaniuk
Opublikowane w: Ukrains’kyi Matematychnyi Zhurnal, Numer Volume 75, Number 7, 2023, 2023, Strona(/y) 946 - 969, ISSN 0041-6053
Wydawca: Institute of Mathematics NAS of Ukraine
DOI: 10.37863/umzh.v75i7.7523

Approximation on hexagonal domains by Taylor-Abel-Poisson means

Autorzy: Jürgen Prestin Viktor Savchuk Andrii Shidlich
Opublikowane w: Journal of Mathematical Analysis and Applications, Numer Volume 528, Numer 2, 2023, 2023, ISSN 0022-247X
Wydawca: Academic Press
DOI: 10.1016/j.jmaa.2023.127536

Parabolic problems in generalized Sobolev spaces

Autorzy: Valerii Los, Vladimir Mikhailets, and Aleksandr Murach
Opublikowane w: Comm. Pure Appl. Anal., Numer Volume 20, Numer 10, 2021, Strona(/y) 3589-3620, ISSN 1534-0392
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2021123

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