Spectral Optimization: From Mathematics to Physics and Advanced Technology

Livrables

Open Research Data Pilot

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.

Dissemination, exploitation and outreach

Permanent tasks

Publications

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

Auteurs: Fikret A. Aliev , N.A .Aliev , N.A. Safarova
Publié dans: Proceedings of the 7th International Conference on Control and Optimization with Industrial Applications, Numéro Volume 1, 2020, Page(s) 80-82, ISBN 9789952378610
Éditeur: COIA
DOI: 10.48550/arxiv.1904.12737

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

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

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

Auteurs: A.S. Serdyuk, I.V. Sokolenko
Publié dans: "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)", Numéro Book of Abstracts, 2020, Page(s) P. 25
Éditeur: Oles Honchar Dnipro National University

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

Auteurs: A. Boichuk, V. Feruk
Publié dans: 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), Numéro Book of Abstracts, 2023, Page(s) 159-160
Éditeur: Yuri Fedkovich Chernivtsi National University

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

Auteurs: A.S. Serdyuk, I. V. Sokolenko
Publié dans: 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), Numéro Book of Abstracts, 2023, Page(s) 303-304
Éditeur: Yuri Fedkovich Chernivtsi National University

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

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

A nonlocal problem for hyperbolic equations with impulse discrete memory

Auteurs: Assanova Anar T., Imanchiyev Askarbek E.
Publié dans: 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), Numéro Book of Abstracts, 2023, Page(s) 11-12
Éditeur: Yuri Fedkovich Chernivtsi National University

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

Auteurs: A.S. Serdyuk, I. V. Sokolenko
Publié dans: Current problems of Mechanics and Mathematics-2023, Numéro Collection of Scientific Papers, 2023, Page(s) 307-308
Éditeur: 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

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

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

Auteurs: Aliev, F. A., Hajiyeva, N. S., Namazov, A. A., Safarova, N. A.
Publié dans: Proceedings of the7th International Conference on Control and Optimization with Industrial Applications, Numéro VOL. 1, 2020, Page(s) 92-94, ISBN 9789952378603
Éditeur: COIA

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

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

Cauchy problem of the fractional order linear ordinary differential equations

Auteurs: Aliev, N. A., Safarova, N. A., Aliev, F. A., Velieva, N. I.
Publié dans: Proceedings of the7th International Conference on Control and Optimization with Industrial Applications, Numéro VOL. 1, 2020, Page(s) 101-103
Éditeur: COIA

Self-adjoint operators with nonlocal potential

Auteurs: L. Nizhnik
Publié dans: Proceedings of 7th International Conference on Control and Optimization with Industrial Applications, Numéro V1, 2022, 2022, Page(s) p,20-22, ISBN 9789952378610
Éditeur: Baku State University

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

Auteurs: Fikret A. Aliev, N.A. Aliev , N.I. Velieva, N.A. Safarova.
Publié dans: Journal of Applied and Computational Mechanics, Numéro 6(SI) (2020), 2020, Page(s) Pages 1426-1430, ISSN 2383-4536
Éditeur: Shahid Chamran University of Ahvaz
DOI: 10.22055/jacm.2020.34950.2548

An extended Hilbert scale and its applications

Auteurs: Vladimir Mikhailets, Aleksandr Murach, Tetiana Zinchenko
Publié dans: 2021, Page(s) 43 pages
Éditeur: arxiv
DOI: 10.48550/arxiv.2102.08089

Tunneling in soft waveguides: closing a book

Auteurs: P. Exner, D. Spitzkopf
Publié dans: arXiv, submitted to J. Phys. A: Math. Gen., 2023
Éditeur: 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.

Auteurs: Aliev, F.A., Larin , V.B., Mammadova, G.H.
Publié dans: TWMS Journal of Pure and Applied Mathematics, Numéro V.12, N.2, 2021, 2021, Page(s) pp.289-290
Éditeur: TWMS Journal of Pure and Applied Mathematics

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

Auteurs: Aliev Fikret , Aliyev N.A. , Hajiyeva N.S., , Mahmudov N.I
Publié dans: Journal of Applied and Computational Mathematics, Numéro V.20, N.3, 2021, 2021, Page(s) pp.339-365.
Éditeur: ?

A new look at old theorems of Fejér and Hardy

Auteurs: Vladimir Mikhailets, Aleksandr Murach, Oksana Tsyhanok
Publié dans: ArXiv, 2023, Page(s) 12 Pages
Éditeur: arXiv
DOI: 10.48550/arxiv.2307.15511

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

Auteurs: I.S. Chepurukhina, A.A. Murach
Publié dans: Reports of the National Academy of Sciences of Ukraine, Numéro no. 6, 2021, Page(s) 3-11
Éditeur: Arxiv
DOI: 10.48550/arxiv.2108.08741

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

Auteurs: Andrii Goriunov, Vladimir Mikhailets, Volodymyr Molyboga
Publié dans: ArXiv, 2021, Page(s) 10 Pages
Éditeur: ArXiv
DOI: 10.48550/arxiv.2110.11750

Scattering problem for Dirac system with nonlocal potentials

Auteurs: P. A. Cojuhari, L. P. Nizhnik
Publié dans: Methods Funct. Anal. Topology, Numéro Vol. 25 (2019), no. 3, 2019, Page(s) 211–218, ISSN 2415-7503
Éditeur: Methods of Functional Analysis and Topology (MFAT)

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

Auteurs: Carsten Trunk, Anar Assanova, and Roza Uteshova
Publié dans: In Serie: Preprint/Technische Universität Ilmenau, Institut für Mathematik, Numéro Bd. 23-06, 2023, Page(s) 7 pages
Éditeur: dbt

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

Auteurs: Serdyuk, A. S.; Sokolenko, I. V.
Publié dans: ArXiv, 2020, Page(s) 19 Pages
Éditeur: ArXiv
DOI: 10.48550/arxiv.2008.01450

Elliptic problems with rough boundary data in generalized Sobolev spaces

Auteurs: Anna Anop, Robert Denk and Aleksandr Murach
Publié dans: Comm. Pure Appl. Anal., Numéro Volume 20, Numéro 2, 2021, Page(s) 697-735, ISSN 1534-0392
Éditeur: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2020286

Boundary-value problems for weakly singular integral equations

Auteurs: Oleksandr Boichuk and Victor Feruk
Publié dans: Discrete and Continuous Dynamical Systems – Series, Numéro Volume 27, Numéro 3, 2022, 2022, Page(s) 1379-1395, ISSN 1531-3492
Éditeur: 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

Auteurs: Serdyuk, A.S., Stepanyuk, T.A.
Publié dans: FILOMAT, Numéro Volume 34, Numéro 14, 2020, 2020, Page(s) 4697–4707, ISSN 0354-5180
Éditeur: Universitet of Nis
DOI: 10.2298/fil2014697s

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

Auteurs: A. A. Boichuk & S. M. Chuiko
Publié dans: Journal of Mathematical Sciences, Numéro Volume 261, Number 2, 2022, 2022, Page(s) 228–240, ISSN 1072-3374
Éditeur: Plenum Publishers
DOI: 10.1007/s10958-022-05748-5

Multi-interval Sturm-Liouville problems with distributional coefficients

Auteurs: Andrii Goriunov
Publié dans: Methods Funct. Anal. Topology, Numéro Vol. 26, no. 2, 2020, Page(s) 103-110, ISSN 2415-7503
Éditeur: 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.

Auteurs: A. Abildayeva, A. Assanova, A. Imanchiyev
Publié dans: Eurasian Mathematical Journal, Numéro Volume 13, Number 2 (2022),, 2022, Page(s) 08 – 17., ISSN 2077-9879
Éditeur: 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

Auteurs: Anatolii S. Serdyuk and Igor V. Sokolenko
Publié dans: Journal of Mathematical Sciences, Numéro Volume 252, Number. 4, 2021, 2021, ISSN 1072-3374
Éditeur: Plenum Publishers
DOI: 10.1007/s10958-020-05178-1

Riemann problem for multiply connected domain in Besov spaces

Auteurs: Nazarbay Bliev & Nurlan Yerkinbayev
Publié dans: Boundary Value Problems, Numéro Article number: 70 (2024), 2024, ISSN 1687-2770
Éditeur: Springer Nature
DOI: 10.1186/s13661-024-01883-x

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

Auteurs: A.S. Serdyuk, I.V. Sokolenko
Publié dans: Carpathian Mathematical Publications, Numéro Volume 15, Number 1, 2023, 2023, Page(s) 246-259, ISSN 2313-0210
Éditeur: Precarpathian National University
DOI: 10.15330/cmp.15.1.246-259

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

Auteurs: Assanova A.T., Bakirova E.A, and Uteshova R.E.
Publié dans: Kazakh Mathematical Journal, Numéro Vol. 20 No. 1, 2020, 2020, ISSN 2413-6468
Éditeur: Institute of Mathematics and Mathematical Modeling

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

Auteurs: A. Anop, I. Chepurukhina, A. Murach,
Publié dans: Axioms, Special Numéro Boundary-Value and Spectral Problems, Numéro 10(4), 2021, Page(s) article no. 292, 23 pp., ISSN 2075-1680
Éditeur: MDPI
DOI: 10.3390/axioms10040292

A singular boundary value problem for evolution equations of hyperbolic type

Auteurs: Anar T. Assanovaa, Roza E. Uteshova
Publié dans: Chaos, Solitonen und Fraktale, Numéro Volume 143, 2021, ISSN 0000-0000
Éditeur: ELSEVIER
DOI: 10.1016/j.chaos.2020.110517

Elliptic problems with unknowns on the boundary and irregular boundary data

Auteurs: Iryna Chepurukhina, Aleksandr Murach
Publié dans: Methods Funct. Anal. Topology, Numéro 26, no. 2, 2020, Page(s) 91-102, ISSN 1029-3531
Éditeur: 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

Auteurs: Fahreddin Abdullayev, Stanislav Chaichenko, Andrii Shidlich
Publié dans: Mathematical Inequalities & Applications, Numéro Volume 24, Number 2, 2021, 2021, Page(s) 323–336, ISSN 1331-4343
Éditeur: Element d.o.o.
DOI: 10.7153/mia-2021-24-23

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

Auteurs: D. S. Bihun, O. O. Pokutnyi, E. V. Panasenko.
Publié dans: Ukrainian Mathematical Journal, Numéro Volume 73, Number 7, 2021, 2021, Page(s) 1009–1022, ISSN 0041-5995
Éditeur: Consultants Bureau
DOI: 10.1007/s11253-021-01973-4

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials

Auteurs: A. Serdyuk, T. Stepaniuk
Publié dans: Ukrains’kyi Matematychnyi Zhurnal, Numéro Volume 75, Number 7, 2023, 2023, Page(s) 946 - 969, ISSN 0041-6053
Éditeur: Institute of Mathematics NAS of Ukraine
DOI: 10.37863/umzh.v75i7.7523

Approximation on hexagonal domains by Taylor-Abel-Poisson means

Auteurs: Jürgen Prestin Viktor Savchuk Andrii Shidlich
Publié dans: Journal of Mathematical Analysis and Applications, Numéro Volume 528, Numéro 2, 2023, 2023, ISSN 0022-247X
Éditeur: Academic Press
DOI: 10.1016/j.jmaa.2023.127536

Parabolic problems in generalized Sobolev spaces

Auteurs: Valerii Los, Vladimir Mikhailets, and Aleksandr Murach
Publié dans: Comm. Pure Appl. Anal., Numéro Volume 20, Numéro 10, 2021, Page(s) 3589-3620, ISSN 1534-0392
Éditeur: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2021123

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