Leonid Nizhnik

@kiev.ua

Department of Functional Analysis
Institute of Mathematics NAS of Ukraine

Leonid Nizhnik


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https://researchid.co/nizhnik

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Analysis, Applied Mathematics
43

Scopus Publications

1482

Scholar Citations

24

Scholar h-index

34

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • Well-posed Cauchy problem and the Hamiltonian form of (2+ 1) nonlinear equations integrable by inverse scattering transform
    L Nizhnik
    arXiv preprint arXiv:2412.16801 , 2024
    2024
    Citations: 1
  • The Cauchy problem for the (2+ 1) integrable nonlinear Schr\" odinger equation"
    LP Nizhnik
    arXiv preprint arXiv:2305.06182 , 2023
    2023
  • Self-adjoint operators with nonlocal interaction
    L NIZHNIK
    CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, 20 , 2020
    2020
    Citations: 1
  • Детермінована дифузія
    ІЛ Нижник, ЛП Нижник
    Ukrains’ kyi Matematychnyi Zhurnal 71 (11), 1553-1569 , 2019
    2019
  • Scattering problem for Dirac system with nonlocal potentials
    PA Cojuhari, LP Nizhnik
    Methods of Functional Analysis and Topology 25 (03), 211-218 , 2019
    2019
    Citations: 6
  • Direct and inverse spectral problems for Dirac systems with nonlocal potentials
    K Dębowska, LP Nizhnik
    Opuscula Mathematica 39 (5), 645-673 , 2019
    2019
    Citations: 9
  • Phillips symmetric operators and their extensions
    S Kuzhel, L Nizhnik
    2018
    Citations: 7
  • On the inverse eigenvalue problems for a Jacobi matrix with mixed given data
    LP Nizhnik
    Methods of Functional Analysis and Topology 24 (02), 178-186 , 2018
    2018
    Citations: 2
  • Hochstadt inverse eigenvalue problem for Jacobi matrices
    PA Cojuhari, LP Nizhnik
    Journal of Mathematical Analysis and Applications 455 (1), 439-451 , 2017
    2017
    Citations: 5
  • On new inverse spectral problems for weighted graphs
    LP Nizhnik, VI Rabanovich
    Methods of Functional Analysis and Topology 23 (1), 66-75 , 2017
    2017
    Citations: 6
  • Inverse spectral problems for Jacobi matrix with finite perturbed parameters
    LP Nizhnik
    Methods of Functional Analysis and Topology 21 (3), 256-265 , 2015
    2015
    Citations: 2
  • Differential Equations with Bistable Nonlinearity
    ЛП Нижник, АМ Самойленко
    Ukrains’ kyi Matematychnyi Zhurnal 67 (4), 517-554 , 2015
    2015
  • Deterministic Diffusion
    L Nizhnik, I Nizhnik
    arXiv preprint arXiv:1501.00674 , 2015
    2015
    Citations: 1
  • Spectral analysis of metric graphs with infinite rays
    LP Nizhnik
    Methods of Functional Analysis and Topology 20 (4), 391-396 , 2014
    2014
    Citations: 7
  • Спектральний аналіз деяких графів з нескінченними променями
    ВО Лебідь, ЛП Нижник
    Ukrains’ kyi Matematychnyi Zhurnal 66 (9), 1193-1204 , 2014
    2014
    Citations: 1
  • Спектральний аналiз локально скiнченних графiв з одним нескiнченним променем
    ВО Лебiдь, ЛП Нижник
    Доповіді Національної академії наук України, 29-35 , 2014
    2014
    Citations: 2
  • Спектральний аналіз локально скінченних графів з одним нескінченним променем
    ВО Лебідь, ЛП Нижник
    Видавничий дім" Академперіодика" НАН України , 2014
    2014
    Citations: 1
  • Sergio Albeverio
    S Albeverio, GA Galperin, IL Nizhnik, LP Nizhnik
    2014
  • Spectral analysis of locally finite graphs with one infinite ray
    VO Lebid, LP Nizhnik
    2014
    Citations: 7
  • Юрій Стефанович Самойленко (до 70-річчя від дня народження)
    YM Berezansky, ОA Boichuk, ML Gorbachuk, YA Drozd, VS Korolyuk, ...
    Ukrains’ kyi Matematychnyi Zhurnal 65 (10), 1408-1409 , 2013
    2013

MOST CITED SCHOLAR PUBLICATIONS

  • Integration of multidimensional nonlinear equations by the method of the inverse problem
    LP Nizhnik
    Doklady Akademii Nauk 254 (2), 332-335 , 1980
    1980
    Citations: 176
  • Inverse scattering problems for hyperbolic equations
    LP Nizhnik
    Kiev, Nauk. Dumka Publ , 1991
    1991
    Citations: 115
  • Inverse spectral problems for non-local Sturm–Liouville operators
    S Albeverio, RO Hryniv, LP Nizhnik
    Inverse problems 23 (2), 523-535 , 2007
    2007
    Citations: 102
  • Inverse nonlocal Sturm-Liouville problem
    L Nizhnik
    Inverse problems 26 (12), 125006 , 2010
    2010
    Citations: 78
  • Approximation of general zero-range potentials
    S Albeverio, L Nizhnik
    Ukrainian Mathematical Journal 52 (5), 664-672 , 2000
    2000
    Citations: 65
  • Schrödinger operators with nonlocal point interactions
    S Albeverio, L Nizhnik
    Journal of mathematical analysis and applications 332 (2), 884-895 , 2007
    2007
    Citations: 56
  • On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions
    S Albeverio, L Nizhnik
    Letters in Mathematical Physics 65 (1), 27-35 , 2003
    2003
    Citations: 51
  • One-dimensional Schr\"odinger operators with -interactions on a set of Lebesgue measure zero"
    JF Brasche, L Nizhnik
    arXiv preprint arXiv:1112.2545 , 2011
    2011
    Citations: 48
  • Inverse eigenvalue problems for nonlocal Sturm-Liouville operators
    LP Nizhnik
    Methods of Functional Analysis and Topology 15 (01), 41-47 , 2009
    2009
    Citations: 42
  • Inverse spectral nonlocal problem for the first order ordinary differential equation
    L Nizhnik
    Tamkang Journal of Mathematics 42 (3), 385-394 , 2011
    2011
    Citations: 38
  • Inverse eigenvalue problems for nonlocal Sturm-Liouville operators on a star graph
    LP Nizhnik
    Methods of Functional Analysis and Topology 18 (1), 68-78 , 2012
    2012
    Citations: 36
  • The inverse scattering problems for the hyperbolic equations and their application to non-linear integrable systems
    LP Nizhnik
    Reports on mathematical physics 26 (2), 261-283 , 1988
    1988
    Citations: 36
  • Integrability of nonlinear multidimensional equations with inverse scattering transform approach
    LP Nizhnik
    Doklady of AN USSR 254 (2), 332-335 , 1980
    1980
    Citations: 34
  • The inverse nonstationary scattering problem
    LP Nizhnik
    Nauk. Dumka, Kiev , 1973
    1973
    Citations: 33
  • Stable stationary solutions in reaction–diffusion systems consisting of a 1-d array of bistable cells
    LP Nizhnik, IL Nizhnik, M Hasler
    International Journal of Bifurcation and Chaos 12 (02), 261-279 , 2002
    2002
    Citations: 32
  • On rank one singular perturbations of selfadjoint operators
    LP Nizhnik
    Methods of Functional Analysis and Topology 7 (3), 54-66 , 2001
    2001
    Citations: 32
  • Integration of the nonlinear two-dimensional spatial Schrodinger equation by the inverse-problem method
    LP Nizhnik, MD Pochinaiko
    Functional Analysis and Its Applications 16 (1), 66-69 , 1982
    1982
    Citations: 29
  • A Schrödinger operator with a δ ′‐interaction on a Cantor set and Krein–Feller operators
    S Albeverio, L Nizhnik
    Mathematische Nachrichten 279 (5‐6), 467-476 , 2006
    2006
    Citations: 28
  • Inverse scattering problem on a semi-axis with a non-self-adjoint potential matrix
    LP Nizhnik, PL Vu
    Ukr. mat. zhurnal (Ukrainian Math. J.), 469-486 , 1974
    1974
    Citations: 28
  • Schrödinger operators with a number of negative eigenvalues equal to the number of point interactions
    LP Nizhnik, S Albeverio
    Methods of Functional Analysis and Topology 9 (4), 273-286 , 2003
    2003
    Citations: 27