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Spectral Optimization: From Mathematics to Physics and Advanced Technology

Deliverables

Publications

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

Author(s): Fikret A. Aliev , NA Aliev , NA Safarova
Published in: Proceedings of the 7th International Conference on Control and Optimization with Industrial Applications, Issue VOL. 1, 2020, Page(s) 80-82
Publisher: arXiv
DOI: 10.48550/arxiv.1904.12737

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

Author(s): A.S. Serdyuk, I. V. Sokolenko
Published in: International scientific online conference «Algebraic and geometric methods of analysis» May 29 - June 1, 2023, dedicated to 160th anniversary of D.O.Grave, Issue Book of Abstracts, 2023, Page(s) 109-110
Publisher: Institute of Mathematics of NAS of Ukraine

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

Author(s): A.S. Serdyuk, I.V. Sokolenko
Published in: "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)", Issue Book of Abstracts, 2020, Page(s) P. 25
Publisher: Oles Honchar Dnipro National University

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

Author(s): A. Boichuk, V. Feruk
Published in: 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), Issue Book of Abstracts, 2023, Page(s) 159-160
Publisher: Yuri Fedkovich Chernivtsi National University

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

Author(s): A.S. Serdyuk, I. V. Sokolenko
Published in: 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), Issue Book of Abstracts, 2023, Page(s) 303-304
Publisher: Yuri Fedkovich Chernivtsi National University

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

Author(s): Anatolii Serdyuk, Igor Sokolenko
Published in: XI International Skorobohatko mathematical conference (October 26 – 30, 2020, Lviv, Ukraine), Issue Book of Abstracts, 2020, Page(s) P. 103, ISBN 978-966-02-9390-8
Publisher: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

A nonlocal problem for hyperbolic equations with impulse discrete memory

Author(s): Assanova Anar T., Imanchiyev Askarbek E.
Published in: 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), Issue Book of Abstracts, 2023, Page(s) 11-12
Publisher: Yuri Fedkovich Chernivtsi National University

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

Author(s): Serdyuk, A.S., Stepanyuk, T.A.
Published in: FILOMAT, Issue Volume 34, Issue 14, 2020, Page(s) 4697–4707
Publisher: Faculty of Sciences and Mathematics, University of Nis
DOI: 10.2298/fil2014697s

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

Author(s): A.S. Serdyuk, I. V. Sokolenko
Published in: Current problems of Mechanics and Mathematics-2023, Issue Collection of Scientific Papers, 2023, Page(s) 307-308
Publisher: 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

Author(s): A.S. Serdyuk, I. V. Sokolenko
Published in: International Online Workshop on Approximation Theory (IOWAT-2021) (March 1921, 2021), Issue Book of Abstracts, 2021, Page(s) 34-35, ISBN 978-617-8011-11-6
Publisher: Vasyl Stefanyk Precarpathian National University

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

Author(s): A.S. Serdyuk, I.V. Sokolenko
Published in: 2023, Page(s) 8 pages, ISSN 2313-0210
Publisher: Carpathian Mathematical Publications
DOI: 10.48550/arxiv.2304.04586

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

Author(s): Aliev, F. A., Hajiyeva, N. S., Namazov, A. A., Safarova, N. A.
Published in: Proceedings of the7th International Conference on Control and Optimization with Industrial Applications, Issue VOL. 1, 2020, Page(s) 92-94, ISBN 9789952378603
Publisher: COIA

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

Author(s): A.S. Serdyuk, I. V. Sokolenko
Published in: International Conference Mathematical Analysis, Differential Equations & Applications (MADEA-9) (Bishkek, Kyrgyz Republic, June 21-25, 2021), Issue Book of Abstracts, 2021, Page(s) P. 73, ISSN 978-9967-9294-4-9-978-9967-9294-5-6
Publisher: Kyrgyz-Turkish Manas University

Cauchy problem of the fractional order linear ordinary differential equations

Author(s): Aliev, N. A., Safarova, N. A., Aliev, F. A., Velieva, N. I.
Published in: Proceedings of the7th International Conference on Control and Optimization with Industrial Applications, Issue VOL. 1, 2020, Page(s) 101-103
Publisher: COIA

Self-adjoint operators with nonlocal potential

Author(s): L. Nizhnik
Published in: Proceedings of 7th International Conference on Control and Optimization with Industrial Applications, Issue V1, 2022, 2022, Page(s) p,20-22, ISBN 9789952378610
Publisher: Baku State University

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

Author(s): Fahreddin Abdullayev , Stanislav Chaichenko , Andrii Shidlich
Published in: Mathematical Inequalities & Applications, Issue Volume 24, Number 2, 2021, Page(s) 323–336
Publisher: arxiv
DOI: 10.7153/mia-2021-24-23

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

Author(s): Fikret A. Aliev, N.A. Aliev , N.I. Velieva, N.A. Safarova.
Published in: Journal of Applied and Computational Mechanics, Issue 6(SI) (2020), 2020, Page(s) Pages 1426-1430, ISSN 2383-4536
Publisher: Shahid Chamran University of Ahvaz
DOI: 10.22055/jacm.2020.34950.2548

An extended Hilbert scale and its applications

Author(s): Vladimir Mikhailets, Aleksandr Murach, Tetiana Zinchenko
Published in: 2021, Page(s) 43 pages
Publisher: arxiv
DOI: 10.48550/arxiv.2102.08089

Tunneling in soft waveguides: closing a book

Author(s): P. Exner, D. Spitzkopf
Published in: arXiv, submitted to J. Phys. A: Math. Gen., 2023
Publisher: 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.

Author(s): Aliev, F.A., Larin , V.B., Mammadova, G.H.
Published in: TWMS Journal of Pure and Applied Mathematics, Issue V.12, N.2, 2021, 2021, Page(s) pp.289-290
Publisher: TWMS Journal of Pure and Applied Mathematics

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

Author(s): Aliev Fikret , Aliyev N.A. , Hajiyeva N.S., , Mahmudov N.I
Published in: Journal of Applied and Computational Mathematics, Issue V.20, N.3, 2021, 2021, Page(s) pp.339-365.
Publisher: ?

A new look at old theorems of Fejér and Hardy

Author(s): Vladimir Mikhailets, Aleksandr Murach, Oksana Tsyhanok
Published in: ArXiv, 2023, Page(s) 12 Pages
Publisher: arXiv
DOI: 10.48550/arxiv.2307.15511

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

Author(s): I.S. Chepurukhina, A.A. Murach
Published in: Reports of the National Academy of Sciences of Ukraine, Issue no. 6, 2021, Page(s) 3-11
Publisher: Arxiv
DOI: 10.48550/arxiv.2108.08741

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

Author(s): Andrii Goriunov, Vladimir Mikhailets, Volodymyr Molyboga
Published in: ArXiv, 2021, Page(s) 10 Pages
Publisher: ArXiv
DOI: 10.48550/arxiv.2110.11750

Scattering problem for Dirac system with nonlocal potentials

Author(s): P. A. Cojuhari, L. P. Nizhnik
Published in: Methods Funct. Anal. Topology, Issue Vol. 25 (2019), no. 3, 2019, Page(s) 211–218, ISSN 2415-7503
Publisher: Methods of Functional Analysis and Topology (MFAT)

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

Author(s): Carsten Trunk, Anar Assanova, and Roza Uteshova
Published in: In Serie: Preprint/Technische Universität Ilmenau, Institut für Mathematik, Issue Bd. 23-06, 2023, Page(s) 7 pages
Publisher: dbt

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

Author(s): Serdyuk, A. S.; Sokolenko, I. V.
Published in: ArXiv, 2020, Page(s) 19 Pages
Publisher: ArXiv
DOI: 10.48550/arxiv.2008.01450

Elliptic problems with rough boundary data in generalized Sobolev spaces

Author(s): Anna Anop, Robert Denk and Aleksandr Murach
Published in: Comm. Pure Appl. Anal., Issue Volume 20, Issue 2, 2021, Page(s) 697-735, ISSN 1534-0392
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2020286

Boundary-value problems for weakly singular integral equations

Author(s): Oleksandr Boichuk and Victor Feruk,
Published in: Discrete and Continuous Dynamical Systems – Series, Issue Volume 27, Issue 3, 2022, Page(s) 1379-1395, ISSN 1531-3492
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcdsb.2021094

Multi-interval Sturm-Liouville problems with distributional coefficients

Author(s): Andrii Goriunov
Published in: Methods Funct. Anal. Topology, Issue Vol. 26, no. 2, 2020, Page(s) 103-110, ISSN 2415-7503
Publisher: 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.

Author(s): A. Abildayeva, A. Assanova, A. Imanchiyev
Published in: Eurasian Mathematical Journal, Issue Volume 13, Number 2 (2022),, 2022, Page(s) 08 – 17., ISSN 2077-9879
Publisher: L. N. Gumilyov Eurasian National University
DOI: 10.32523/2077-9879-2022-13-2-08-17

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

Author(s): Assanova A.T., Bakirova E.A, and Uteshova R.E.
Published in: Kazakh Mathematical Journal, Issue Vol. 20 No. 1, 2020, 2020, ISSN 2413-6468
Publisher: Institute of Mathematics and Mathematical Modeling

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

Author(s): A. Anop, I. Chepurukhina, A. Murach,
Published in: Axioms, Special Issue Boundary-Value and Spectral Problems, Issue 10(4), 2021, Page(s) article no. 292, 23 pp., ISSN 2075-1680
Publisher: MDPI
DOI: 10.3390/axioms10040292

A singular boundary value problem for evolution equations of hyperbolic type

Author(s): Anar T. Assanovaa, Roza E. Uteshova
Published in: Chaos, Solitonen und Fraktale, Issue Volume 143, 2021, ISSN 0000-0000
Publisher: ELSEVIER
DOI: 10.1016/j.chaos.2020.110517

Elliptic problems with unknowns on the boundary and irregular boundary data

Author(s): Iryna Chepurukhina, Aleksandr Murach
Published in: Methods Funct. Anal. Topology, Issue 26, no. 2, 2020, Page(s) 91-102, ISSN 1029-3531
Publisher: Methods of Functional Analysis and Topology (MFAT)
DOI: 10.48550/arxiv.2006.08379

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials

Author(s): A. Serdyuk, T. Stepaniuk
Published in: Ukrains’kyi Matematychnyi Zhurnal, Issue Volume 75, Number 7, 2023, 2023, Page(s) 946 - 969, ISSN 0041-6053
Publisher: Institute of Mathematics NAS of Ukraine
DOI: 10.37863/umzh.v75i7.7523

Approximation on hexagonal domains by Taylor-Abel-Poisson means

Author(s): Jürgen Prestin Viktor Savchuk Andrii Shidlich
Published in: Journal of Mathematical Analysis and Applications, Issue Volume 528, Issue 2, 2023, 2023, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2023.127536

Parabolic problems in generalized Sobolev spaces

Author(s): Valerii Los, Vladimir Mikhailets, and Aleksandr Murach
Published in: Comm. Pure Appl. Anal., Issue Volume 20, Issue 10, 2021, Page(s) 3589-3620, ISSN 1534-0392
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2021123

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

Author(s): A. A. Boichuk & S. M. Chuiko
Published in: Journal of Mathematical Sciences, Issue Vol. 261, No. 2, 2022, Page(s) 228–240, ISSN 1072-3374
Publisher: Plenum Publishers
DOI: 10.1007/s10958-022-05748-5

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

Author(s): Anatolii S. Serdyuk & Igor V. Sokolenko
Published in: Journal of Mathematical Sciences volume, Issue Vol. 252, No. 4, 2021, ISSN 1072-3374
Publisher: Plenum Publishers
DOI: 10.1007/s10958-020-05178-1

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

Author(s): D. S. Bihun, O. O. Pokutnyi, E. V. Panasenko.
Published in: Ukrainian Mathematical Journal, Issue 73 (7), 2021, Page(s) 1009–1022, ISSN 0041-5995
Publisher: Consultants Bureau
DOI: 10.1007/s11253-021-01973-4

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