Leonid Nizhnik

Verified @imath.kiev.ua

Department of Functional Analysis
Institute of Mathematics NAS of Ukraine



              

https://researchid.co/nizhnik

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Analysis, Applied Mathematics

43

Scopus Publications

1368

Scholar Citations

23

Scholar h-index

31

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

  • The Cauchy problem for the (2+ 1) integrable nonlinear Schr\" odinger equation
    LP Nizhnik
    arXiv preprint arXiv:2305.06182 2023

  • SELF-ADJOINT OPERATORS WITH NONLOCAL INTERACTION
    L NIZHNIK
    CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, 20 2020

  • Детермінована дифузія
    IL Nizhnik, LP Nizhnik
    Ukrains’ kyi Matematychnyi Zhurnal 71 (11), 1553-1569 2019

  • Scattering problem for Dirac system with nonlocal potentials
    PA Cojuhari, LP Nizhnik
    Methods of Functional Analysis and Topology 25 (03), 211-218 2019

  • Direct and inverse spectral problems for Dirac systems with nonlocal potentials
    K Dębowska, LP Nizhnik
    Opuscula Mathematica 39 (5), 645-673 2019

  • Phillips symmetric operators and their extensions
    S Kuzhel, L Nizhnik
    2018

  • 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

  • Hochstadt inverse eigenvalue problem for Jacobi matrices
    PA Cojuhari, LP Nizhnik
    Journal of Mathematical Analysis and Applications 455 (1), 439-451 2017

  • On new inverse spectral problems for weighted graphs
    LP Nizhnik, VI Rabanovich
    Methods of Functional Analysis and Topology 23 (01), 66-75 2017

  • Inverse spectral problems for Jacobi matrix with finite perturbed parameters
    LP Nizhnik
    Methods of Functional Analysis and Topology 21 (03), 256-265 2015

  • Differential Equations with Bistable Nonlinearity
    LP Nizhnik, AM Samoilenko
    Ukrains’ kyi Matematychnyi Zhurnal 67 (4), 517-554 2015

  • Deterministic Diffusion
    L Nizhnik, I Nizhnik
    arXiv preprint arXiv:1501.00674 2015

  • Spectral analysis of metric graphs with infinite rays
    LP Nizhnik
    Methods of Functional Analysis and Topology 20 (04), 391-396 2014

  • Спектральний аналіз деяких графів з нескінченними променями
    ВО Лебiдь, ЛП Нижник
    Український математичний журнал 2014

  • 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

  • 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

  • Schrdinger operators with nonlocal potentials
    S Albeverio, L Nizhnik
    Methods of Functional Analysis and Topology 19 (03), 199-210 2013

  • Мирослав Львович Горбачук (до 75-річчя від дня народження)
    YM Berezansky, VI Gerasimenko, AN Kochubei, VA Mikhailets, ...
    Ukrains’ kyi Matematychnyi Zhurnal 65 (3), 451-454 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
    Citations: 160

  • Inverse scattering problems for hyperbolic equations
    LP Nizhnik
    Kiev, Nauk. Dumka Publ 1991
    Citations: 115

  • Inverse spectral problems for non-local Sturm–Liouville operators
    S Albeverio, RO Hryniv, LP Nizhnik
    Inverse problems 23 (2), 523 2007
    Citations: 89

  • Inverse nonlocal Sturm-Liouville problem
    L Nizhnik
    Inverse problems 26 (12), 125006 2010
    Citations: 66

  • Approximation of general zero-range potentials
    S Albeverio, L Nizhnik
    Ukrainian Mathematical Journal 52 (5), 664-672 2000
    Citations: 60

  • Schrdinger operators with nonlocal point interactions
    S Albeverio, L Nizhnik
    Journal of mathematical analysis and applications 332 (2), 884-895 2007
    Citations: 47

  • On the number of negative eigenvalues of a one-dimensional Schrdinger operator with point interactions
    S Albeverio, L Nizhnik
    Letters in Mathematical Physics 65, 27-35 2003
    Citations: 46

  • One-dimensional Schr\"odinger operators with -interactions on a set of Lebesgue measure zero
    JF Brasche, L Nizhnik
    arXiv preprint arXiv:1112.2545 2011
    Citations: 45

  • Inverse eigenvalue problems for nonlocal Sturm-Liouville operators
    LP Nizhnik
    Інститут математики НАН України 2009
    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
    Citations: 36

  • Inverse spectral nonlocal problem for the first order ordinary differential equation
    L Nizhnik
    Tamkang Journal of Mathematics 42 (3), 385-394 2011
    Citations: 35

  • Integrability of nonlinear multidimensional equations with inverse scattering transform approach
    LP Nizhnik
    Doklady of AN USSR 254 (2), 332-335 1980
    Citations: 34

  • The inverse nonstationary scattering problem
    LP Nizhnik
    Nauk. Dumka, Kiev 1973
    Citations: 34

  • Inverse eigenvalue problems for nonlocal Sturm-Liouville operators on a star graph
    LP Nizhnik
    Methods of Functional Analysis and Topology 18 (01), 68-78 2012
    Citations: 33

  • A Schrdinger operator with-interaction
    LP Nizhnik
    Functional Analysis and Its Applications 37 (1), 72-74 2003
    Citations: 32

  • 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
    Citations: 31

  • On rank one singular perturbations of selfadjoint operators
    LP Nizhnik
    Methods of Functional Analysis and Topology 7 (03), 54-66 2001
    Citations: 30

  • 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
    Citations: 30

  • An inverse scattering problem on the semi-axis with a nonselfadjoint potential matrix
    LP Nizhnik, PL Vu
    Ukr. Mat. Zh 26, 469-486 1974
    Citations: 29

  • A one-dimensional Schrdinger operator with point interactions on Sobolev spaces
    LP Nizhnik
    Functional Analysis and Its Applications 40, 143-147 2006
    Citations: 28