Spectral Optimization: From Mathematics to Physics and Advanced Technology

Risultati finali

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

Pubblicazioni

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

Autori: Fikret A. Aliev , N.A .Aliev , N.A. Safarova
Pubblicato in: Proceedings of the 7th International Conference on Control and Optimization with Industrial Applications, Numero Volume 1, 2020, Pagina/e 80-82, ISBN 9789952378610
Editore: COIA
DOI: 10.48550/arxiv.1904.12737

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

Autori: A.S. Serdyuk, I. V. Sokolenko
Pubblicato in: International scientific online conference «Algebraic and geometric methods of analysis» May 29 - June 1, 2023, dedicated to 160th anniversary of D.O.Grave, Numero Book of Abstracts, 2023, Pagina/e 109-110
Editore: Institute of Mathematics of NAS of Ukraine

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

Autori: A.S. Serdyuk, I.V. Sokolenko
Pubblicato 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)", Numero Book of Abstracts, 2020, Pagina/e P. 25
Editore: Oles Honchar Dnipro National University

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

Autori: A. Boichuk, V. Feruk
Pubblicato 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), Numero Book of Abstracts, 2023, Pagina/e 159-160
Editore: Yuri Fedkovich Chernivtsi National University

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

Autori: A.S. Serdyuk, I. V. Sokolenko
Pubblicato 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), Numero Book of Abstracts, 2023, Pagina/e 303-304
Editore: Yuri Fedkovich Chernivtsi National University

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

Autori: Anatolii Serdyuk, Igor Sokolenko
Pubblicato in: XI International Skorobohatko mathematical conference (October 26 – 30, 2020, Lviv, Ukraine), Numero Book of Abstracts, 2020, Pagina/e P. 103, ISBN 978-966-02-9390-8
Editore: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

A nonlocal problem for hyperbolic equations with impulse discrete memory

Autori: Assanova Anar T., Imanchiyev Askarbek E.
Pubblicato 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), Numero Book of Abstracts, 2023, Pagina/e 11-12
Editore: Yuri Fedkovich Chernivtsi National University

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

Autori: A.S. Serdyuk, I. V. Sokolenko
Pubblicato in: Current problems of Mechanics and Mathematics-2023, Numero Collection of Scientific Papers, 2023, Pagina/e 307-308
Editore: 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

Autori: A.S. Serdyuk, I. V. Sokolenko
Pubblicato in: International Online Workshop on Approximation Theory (IOWAT-2021) (March 1921, 2021), Numero Book of Abstracts, 2021, Pagina/e 34-35, ISBN 978-617-8011-11-6
Editore: Vasyl Stefanyk Precarpathian National University

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

Autori: Aliev, F. A., Hajiyeva, N. S., Namazov, A. A., Safarova, N. A.
Pubblicato in: Proceedings of the7th International Conference on Control and Optimization with Industrial Applications, Numero VOL. 1, 2020, Pagina/e 92-94, ISBN 9789952378603
Editore: COIA

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

Autori: A.S. Serdyuk, I. V. Sokolenko
Pubblicato in: International Conference Mathematical Analysis, Differential Equations & Applications (MADEA-9) (Bishkek, Kyrgyz Republic, June 21-25, 2021), Numero Book of Abstracts, 2021, Pagina/e P. 73, ISSN 978-9967-9294-4-9-978-9967-9294-5-6
Editore: Kyrgyz-Turkish Manas University

Cauchy problem of the fractional order linear ordinary differential equations

Autori: Aliev, N. A., Safarova, N. A., Aliev, F. A., Velieva, N. I.
Pubblicato in: Proceedings of the7th International Conference on Control and Optimization with Industrial Applications, Numero VOL. 1, 2020, Pagina/e 101-103
Editore: COIA

Self-adjoint operators with nonlocal potential

Autori: L. Nizhnik
Pubblicato in: Proceedings of 7th International Conference on Control and Optimization with Industrial Applications, Numero V1, 2022, 2022, Pagina/e p,20-22, ISBN 9789952378610
Editore: Baku State University

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

Autori: Fikret A. Aliev, N.A. Aliev , N.I. Velieva, N.A. Safarova.
Pubblicato in: Journal of Applied and Computational Mechanics, Numero 6(SI) (2020), 2020, Pagina/e Pages 1426-1430, ISSN 2383-4536
Editore: Shahid Chamran University of Ahvaz
DOI: 10.22055/jacm.2020.34950.2548

An extended Hilbert scale and its applications

Autori: Vladimir Mikhailets, Aleksandr Murach, Tetiana Zinchenko
Pubblicato in: 2021, Pagina/e 43 pages
Editore: arxiv
DOI: 10.48550/arxiv.2102.08089

Tunneling in soft waveguides: closing a book

Autori: P. Exner, D. Spitzkopf
Pubblicato in: arXiv, submitted to J. Phys. A: Math. Gen., 2023
Editore: 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.

Autori: Aliev, F.A., Larin , V.B., Mammadova, G.H.
Pubblicato in: TWMS Journal of Pure and Applied Mathematics, Numero V.12, N.2, 2021, 2021, Pagina/e pp.289-290
Editore: TWMS Journal of Pure and Applied Mathematics

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

Autori: Aliev Fikret , Aliyev N.A. , Hajiyeva N.S., , Mahmudov N.I
Pubblicato in: Journal of Applied and Computational Mathematics, Numero V.20, N.3, 2021, 2021, Pagina/e pp.339-365.
Editore: ?

A new look at old theorems of Fejér and Hardy

Autori: Vladimir Mikhailets, Aleksandr Murach, Oksana Tsyhanok
Pubblicato in: ArXiv, 2023, Pagina/e 12 Pages
Editore: arXiv
DOI: 10.48550/arxiv.2307.15511

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

Autori: I.S. Chepurukhina, A.A. Murach
Pubblicato in: Reports of the National Academy of Sciences of Ukraine, Numero no. 6, 2021, Pagina/e 3-11
Editore: Arxiv
DOI: 10.48550/arxiv.2108.08741

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

Autori: Andrii Goriunov, Vladimir Mikhailets, Volodymyr Molyboga
Pubblicato in: ArXiv, 2021, Pagina/e 10 Pages
Editore: ArXiv
DOI: 10.48550/arxiv.2110.11750

Scattering problem for Dirac system with nonlocal potentials

Autori: P. A. Cojuhari, L. P. Nizhnik
Pubblicato in: Methods Funct. Anal. Topology, Numero Vol. 25 (2019), no. 3, 2019, Pagina/e 211–218, ISSN 2415-7503
Editore: Methods of Functional Analysis and Topology (MFAT)

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

Autori: Carsten Trunk, Anar Assanova, and Roza Uteshova
Pubblicato in: In Serie: Preprint/Technische Universität Ilmenau, Institut für Mathematik, Numero Bd. 23-06, 2023, Pagina/e 7 pages
Editore: dbt

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

Autori: Serdyuk, A. S.; Sokolenko, I. V.
Pubblicato in: ArXiv, 2020, Pagina/e 19 Pages
Editore: ArXiv
DOI: 10.48550/arxiv.2008.01450

Elliptic problems with rough boundary data in generalized Sobolev spaces

Autori: Anna Anop, Robert Denk and Aleksandr Murach
Pubblicato in: Comm. Pure Appl. Anal., Numero Volume 20, Numero 2, 2021, Pagina/e 697-735, ISSN 1534-0392
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2020286

Boundary-value problems for weakly singular integral equations

Autori: Oleksandr Boichuk and Victor Feruk
Pubblicato in: Discrete and Continuous Dynamical Systems – Series, Numero Volume 27, Numero 3, 2022, 2022, Pagina/e 1379-1395, ISSN 1531-3492
Editore: 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

Autori: Serdyuk, A.S., Stepanyuk, T.A.
Pubblicato in: FILOMAT, Numero Volume 34, Numero 14, 2020, 2020, Pagina/e 4697–4707, ISSN 0354-5180
Editore: Universitet of Nis
DOI: 10.2298/fil2014697s

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

Autori: A. A. Boichuk & S. M. Chuiko
Pubblicato in: Journal of Mathematical Sciences, Numero Volume 261, Number 2, 2022, 2022, Pagina/e 228–240, ISSN 1072-3374
Editore: Plenum Publishers
DOI: 10.1007/s10958-022-05748-5

Multi-interval Sturm-Liouville problems with distributional coefficients

Autori: Andrii Goriunov
Pubblicato in: Methods Funct. Anal. Topology, Numero Vol. 26, no. 2, 2020, Pagina/e 103-110, ISSN 2415-7503
Editore: 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.

Autori: A. Abildayeva, A. Assanova, A. Imanchiyev
Pubblicato in: Eurasian Mathematical Journal, Numero Volume 13, Number 2 (2022),, 2022, Pagina/e 08 – 17., ISSN 2077-9879
Editore: 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

Autori: Anatolii S. Serdyuk and Igor V. Sokolenko
Pubblicato in: Journal of Mathematical Sciences, Numero Volume 252, Number. 4, 2021, 2021, ISSN 1072-3374
Editore: Plenum Publishers
DOI: 10.1007/s10958-020-05178-1

Riemann problem for multiply connected domain in Besov spaces

Autori: Nazarbay Bliev & Nurlan Yerkinbayev
Pubblicato in: Boundary Value Problems, Numero Article number: 70 (2024), 2024, ISSN 1687-2770
Editore: Springer Nature
DOI: 10.1186/s13661-024-01883-x

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

Autori: A.S. Serdyuk, I.V. Sokolenko
Pubblicato in: Carpathian Mathematical Publications, Numero Volume 15, Number 1, 2023, 2023, Pagina/e 246-259, ISSN 2313-0210
Editore: Precarpathian National University
DOI: 10.15330/cmp.15.1.246-259

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

Autori: Assanova A.T., Bakirova E.A, and Uteshova R.E.
Pubblicato in: Kazakh Mathematical Journal, Numero Vol. 20 No. 1, 2020, 2020, ISSN 2413-6468
Editore: Institute of Mathematics and Mathematical Modeling

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

Autori: A. Anop, I. Chepurukhina, A. Murach,
Pubblicato in: Axioms, Special Numero Boundary-Value and Spectral Problems, Numero 10(4), 2021, Pagina/e article no. 292, 23 pp., ISSN 2075-1680
Editore: MDPI
DOI: 10.3390/axioms10040292

A singular boundary value problem for evolution equations of hyperbolic type

Autori: Anar T. Assanovaa, Roza E. Uteshova
Pubblicato in: Chaos, Solitonen und Fraktale, Numero Volume 143, 2021, ISSN 0000-0000
Editore: ELSEVIER
DOI: 10.1016/j.chaos.2020.110517

Elliptic problems with unknowns on the boundary and irregular boundary data

Autori: Iryna Chepurukhina, Aleksandr Murach
Pubblicato in: Methods Funct. Anal. Topology, Numero 26, no. 2, 2020, Pagina/e 91-102, ISSN 1029-3531
Editore: 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

Autori: Fahreddin Abdullayev, Stanislav Chaichenko, Andrii Shidlich
Pubblicato in: Mathematical Inequalities & Applications, Numero Volume 24, Number 2, 2021, 2021, Pagina/e 323–336, ISSN 1331-4343
Editore: Element d.o.o.
DOI: 10.7153/mia-2021-24-23

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

Autori: D. S. Bihun, O. O. Pokutnyi, E. V. Panasenko.
Pubblicato in: Ukrainian Mathematical Journal, Numero Volume 73, Number 7, 2021, 2021, Pagina/e 1009–1022, ISSN 0041-5995
Editore: Consultants Bureau
DOI: 10.1007/s11253-021-01973-4

Approximation of generalized Poisson integrals by interpolating trigonometric polynomials

Autori: A. Serdyuk, T. Stepaniuk
Pubblicato in: Ukrains’kyi Matematychnyi Zhurnal, Numero Volume 75, Number 7, 2023, 2023, Pagina/e 946 - 969, ISSN 0041-6053
Editore: Institute of Mathematics NAS of Ukraine
DOI: 10.37863/umzh.v75i7.7523

Approximation on hexagonal domains by Taylor-Abel-Poisson means

Autori: Jürgen Prestin Viktor Savchuk Andrii Shidlich
Pubblicato in: Journal of Mathematical Analysis and Applications, Numero Volume 528, Numero 2, 2023, 2023, ISSN 0022-247X
Editore: Academic Press
DOI: 10.1016/j.jmaa.2023.127536

Parabolic problems in generalized Sobolev spaces

Autori: Valerii Los, Vladimir Mikhailets, and Aleksandr Murach
Pubblicato in: Comm. Pure Appl. Anal., Numero Volume 20, Numero 10, 2021, Pagina/e 3589-3620, ISSN 1534-0392
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2021123

Risultati finali

Pubblicazioni

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