Spectral Optimization: From Mathematics to Physics and Advanced Technology

Resultado final

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

Publicaciones

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

Autores: Fikret A. Aliev , N.A .Aliev , N.A. Safarova
Publicado en: Proceedings of the 7th International Conference on Control and Optimization with Industrial Applications, Edición Volume 1, 2020, Página(s) 80-82, ISBN 9789952378610
Editor: COIA
DOI: 10.48550/arxiv.1904.12737

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

Autores: A.S. Serdyuk, I. V. Sokolenko
Publicado en: International scientific online conference «Algebraic and geometric methods of analysis» May 29 - June 1, 2023, dedicated to 160th anniversary of D.O.Grave, Edición Book of Abstracts, 2023, Página(s) 109-110
Editor: Institute of Mathematics of NAS of Ukraine

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

Autores: A.S. Serdyuk, I.V. Sokolenko
Publicado en: "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)", Edición Book of Abstracts, 2020, Página(s) P. 25
Editor: Oles Honchar Dnipro National University

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

Autores: A. Boichuk, V. Feruk
Publicado en: 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), Edición Book of Abstracts, 2023, Página(s) 159-160
Editor: Yuri Fedkovich Chernivtsi National University

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

Autores: A.S. Serdyuk, I. V. Sokolenko
Publicado en: 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), Edición Book of Abstracts, 2023, Página(s) 303-304
Editor: Yuri Fedkovich Chernivtsi National University

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

Autores: Anatolii Serdyuk, Igor Sokolenko
Publicado en: XI International Skorobohatko mathematical conference (October 26 – 30, 2020, Lviv, Ukraine), Edición Book of Abstracts, 2020, Página(s) P. 103, ISBN 978-966-02-9390-8
Editor: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

A nonlocal problem for hyperbolic equations with impulse discrete memory

Autores: Assanova Anar T., Imanchiyev Askarbek E.
Publicado en: 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), Edición Book of Abstracts, 2023, Página(s) 11-12
Editor: Yuri Fedkovich Chernivtsi National University

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

Autores: A.S. Serdyuk, I. V. Sokolenko
Publicado en: Current problems of Mechanics and Mathematics-2023, Edición Collection of Scientific Papers, 2023, Página(s) 307-308
Editor: 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

Autores: A.S. Serdyuk, I. V. Sokolenko
Publicado en: International Online Workshop on Approximation Theory (IOWAT-2021) (March 1921, 2021), Edición Book of Abstracts, 2021, Página(s) 34-35, ISBN 978-617-8011-11-6
Editor: Vasyl Stefanyk Precarpathian National University

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

Autores: Aliev, F. A., Hajiyeva, N. S., Namazov, A. A., Safarova, N. A.
Publicado en: Proceedings of the7th International Conference on Control and Optimization with Industrial Applications, Edición VOL. 1, 2020, Página(s) 92-94, ISBN 9789952378603
Editor: COIA

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

Autores: A.S. Serdyuk, I. V. Sokolenko
Publicado en: International Conference Mathematical Analysis, Differential Equations & Applications (MADEA-9) (Bishkek, Kyrgyz Republic, June 21-25, 2021), Edición Book of Abstracts, 2021, Página(s) P. 73, ISSN 978-9967-9294-4-9-978-9967-9294-5-6
Editor: Kyrgyz-Turkish Manas University

Cauchy problem of the fractional order linear ordinary differential equations

Autores: Aliev, N. A., Safarova, N. A., Aliev, F. A., Velieva, N. I.
Publicado en: Proceedings of the7th International Conference on Control and Optimization with Industrial Applications, Edición VOL. 1, 2020, Página(s) 101-103
Editor: COIA

Self-adjoint operators with nonlocal potential

Autores: L. Nizhnik
Publicado en: Proceedings of 7th International Conference on Control and Optimization with Industrial Applications, Edición V1, 2022, 2022, Página(s) p,20-22, ISBN 9789952378610
Editor: Baku State University

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

Autores: Fikret A. Aliev, N.A. Aliev , N.I. Velieva, N.A. Safarova.
Publicado en: Journal of Applied and Computational Mechanics, Edición 6(SI) (2020), 2020, Página(s) Pages 1426-1430, ISSN 2383-4536
Editor: Shahid Chamran University of Ahvaz
DOI: 10.22055/jacm.2020.34950.2548

An extended Hilbert scale and its applications

Autores: Vladimir Mikhailets, Aleksandr Murach, Tetiana Zinchenko
Publicado en: 2021, Página(s) 43 pages
Editor: arxiv
DOI: 10.48550/arxiv.2102.08089

Tunneling in soft waveguides: closing a book

Autores: P. Exner, D. Spitzkopf
Publicado en: arXiv, submitted to J. Phys. A: Math. Gen., 2023
Editor: 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.

Autores: Aliev, F.A., Larin , V.B., Mammadova, G.H.
Publicado en: TWMS Journal of Pure and Applied Mathematics, Edición V.12, N.2, 2021, 2021, Página(s) pp.289-290
Editor: TWMS Journal of Pure and Applied Mathematics

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

Autores: Aliev Fikret , Aliyev N.A. , Hajiyeva N.S., , Mahmudov N.I
Publicado en: Journal of Applied and Computational Mathematics, Edición V.20, N.3, 2021, 2021, Página(s) pp.339-365.
Editor: ?

A new look at old theorems of Fejér and Hardy

Autores: Vladimir Mikhailets, Aleksandr Murach, Oksana Tsyhanok
Publicado en: ArXiv, 2023, Página(s) 12 Pages
Editor: arXiv
DOI: 10.48550/arxiv.2307.15511

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

Autores: I.S. Chepurukhina, A.A. Murach
Publicado en: Reports of the National Academy of Sciences of Ukraine, Edición no. 6, 2021, Página(s) 3-11
Editor: Arxiv
DOI: 10.48550/arxiv.2108.08741

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

Autores: Andrii Goriunov, Vladimir Mikhailets, Volodymyr Molyboga
Publicado en: ArXiv, 2021, Página(s) 10 Pages
Editor: ArXiv
DOI: 10.48550/arxiv.2110.11750

Scattering problem for Dirac system with nonlocal potentials

Autores: P. A. Cojuhari, L. P. Nizhnik
Publicado en: Methods Funct. Anal. Topology, Edición Vol. 25 (2019), no. 3, 2019, Página(s) 211–218, ISSN 2415-7503
Editor: Methods of Functional Analysis and Topology (MFAT)

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

Autores: Carsten Trunk, Anar Assanova, and Roza Uteshova
Publicado en: In Serie: Preprint/Technische Universität Ilmenau, Institut für Mathematik, Edición Bd. 23-06, 2023, Página(s) 7 pages
Editor: dbt

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

Autores: Serdyuk, A. S.; Sokolenko, I. V.
Publicado en: ArXiv, 2020, Página(s) 19 Pages
Editor: ArXiv
DOI: 10.48550/arxiv.2008.01450

Elliptic problems with rough boundary data in generalized Sobolev spaces

Autores: Anna Anop, Robert Denk and Aleksandr Murach
Publicado en: Comm. Pure Appl. Anal., Edición Volume 20, Edición 2, 2021, Página(s) 697-735, ISSN 1534-0392
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2020286

Boundary-value problems for weakly singular integral equations

Autores: Oleksandr Boichuk and Victor Feruk
Publicado en: Discrete and Continuous Dynamical Systems – Series, Edición Volume 27, Edición 3, 2022, 2022, Página(s) 1379-1395, ISSN 1531-3492
Editor: 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

Autores: Serdyuk, A.S., Stepanyuk, T.A.
Publicado en: FILOMAT, Edición Volume 34, Edición 14, 2020, 2020, Página(s) 4697–4707, ISSN 0354-5180
Editor: Universitet of Nis
DOI: 10.2298/fil2014697s

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

Autores: A. A. Boichuk & S. M. Chuiko
Publicado en: Journal of Mathematical Sciences, Edición Volume 261, Number 2, 2022, 2022, Página(s) 228–240, ISSN 1072-3374
Editor: Plenum Publishers
DOI: 10.1007/s10958-022-05748-5

Multi-interval Sturm-Liouville problems with distributional coefficients

Autores: Andrii Goriunov
Publicado en: Methods Funct. Anal. Topology, Edición Vol. 26, no. 2, 2020, Página(s) 103-110, ISSN 2415-7503
Editor: 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.

Autores: A. Abildayeva, A. Assanova, A. Imanchiyev
Publicado en: Eurasian Mathematical Journal, Edición Volume 13, Number 2 (2022),, 2022, Página(s) 08 – 17., ISSN 2077-9879
Editor: 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

Autores: Anatolii S. Serdyuk and Igor V. Sokolenko
Publicado en: Journal of Mathematical Sciences, Edición Volume 252, Number. 4, 2021, 2021, ISSN 1072-3374
Editor: Plenum Publishers
DOI: 10.1007/s10958-020-05178-1

Riemann problem for multiply connected domain in Besov spaces

Autores: Nazarbay Bliev & Nurlan Yerkinbayev
Publicado en: Boundary Value Problems, Edición Article number: 70 (2024), 2024, ISSN 1687-2770
Editor: Springer Nature
DOI: 10.1186/s13661-024-01883-x

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

Autores: A.S. Serdyuk, I.V. Sokolenko
Publicado en: Carpathian Mathematical Publications, Edición Volume 15, Number 1, 2023, 2023, Página(s) 246-259, ISSN 2313-0210
Editor: Precarpathian National University
DOI: 10.15330/cmp.15.1.246-259

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

Autores: Assanova A.T., Bakirova E.A, and Uteshova R.E.
Publicado en: Kazakh Mathematical Journal, Edición Vol. 20 No. 1, 2020, 2020, ISSN 2413-6468
Editor: Institute of Mathematics and Mathematical Modeling

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

Autores: A. Anop, I. Chepurukhina, A. Murach,
Publicado en: Axioms, Special Edición Boundary-Value and Spectral Problems, Edición 10(4), 2021, Página(s) article no. 292, 23 pp., ISSN 2075-1680
Editor: MDPI
DOI: 10.3390/axioms10040292

A singular boundary value problem for evolution equations of hyperbolic type

Autores: Anar T. Assanovaa, Roza E. Uteshova
Publicado en: Chaos, Solitonen und Fraktale, Edición Volume 143, 2021, ISSN 0000-0000
Editor: ELSEVIER
DOI: 10.1016/j.chaos.2020.110517

Elliptic problems with unknowns on the boundary and irregular boundary data

Autores: Iryna Chepurukhina, Aleksandr Murach
Publicado en: Methods Funct. Anal. Topology, Edición 26, no. 2, 2020, Página(s) 91-102, ISSN 1029-3531
Editor: 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

Autores: Fahreddin Abdullayev, Stanislav Chaichenko, Andrii Shidlich
Publicado en: Mathematical Inequalities & Applications, Edición Volume 24, Number 2, 2021, 2021, Página(s) 323–336, ISSN 1331-4343
Editor: Element d.o.o.
DOI: 10.7153/mia-2021-24-23

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

Autores: D. S. Bihun, O. O. Pokutnyi, E. V. Panasenko.
Publicado en: Ukrainian Mathematical Journal, Edición Volume 73, Number 7, 2021, 2021, Página(s) 1009–1022, ISSN 0041-5995
Editor: Consultants Bureau
DOI: 10.1007/s11253-021-01973-4

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials

Autores: A. Serdyuk, T. Stepaniuk
Publicado en: Ukrains’kyi Matematychnyi Zhurnal, Edición Volume 75, Number 7, 2023, 2023, Página(s) 946 - 969, ISSN 0041-6053
Editor: Institute of Mathematics NAS of Ukraine
DOI: 10.37863/umzh.v75i7.7523

Approximation on hexagonal domains by Taylor-Abel-Poisson means

Autores: Jürgen Prestin Viktor Savchuk Andrii Shidlich
Publicado en: Journal of Mathematical Analysis and Applications, Edición Volume 528, Edición 2, 2023, 2023, ISSN 0022-247X
Editor: Academic Press
DOI: 10.1016/j.jmaa.2023.127536

Parabolic problems in generalized Sobolev spaces

Autores: Valerii Los, Vladimir Mikhailets, and Aleksandr Murach
Publicado en: Comm. Pure Appl. Anal., Edición Volume 20, Edición 10, 2021, Página(s) 3589-3620, ISSN 1534-0392
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2021123

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