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Nizhnik, Leonid Pavlovich

Author ID: nizhnik.leonid-pavlovich Recent zbMATH articles by "Nizhnik, Leonid Pavlovich"
Published as: Nizhnik, L. P.; Nizhnik, Leonid; Nizhnik, L.; Niznik, L. P.; Nizhnik, Leonid P.; Nižnik, L. P.
Documents Indexed: 96 Publications since 1958, including 3 Books and 1 Additional arXiv Preprint
Biographic References: 2 Publications
Co-Authors: 46 Co-Authors with 61 Joint Publications
1,632 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 388 times in 208 Documents Cited by Year
Inverse spectral problems for non-local Sturm-Liouville operators. Zbl 1121.34014
Albeverio, S.; Hryniv, R. O.; Nizhnik, L. P.
34
2007
Inverse scattering problems for hyperbolic equations. (Obratnye zadachi rasseyaniya dlya giperbolicheskikh uravnenij.) Zbl 0791.35142
Nizhnik, L. P.
29
1991
Inverse nonlocal Sturm-Liouville problem. Zbl 1217.34040
Nizhnik, Leonid
26
2010
Approximation of general zero-range potential. Zbl 1037.81532
Albeverio, S.; Nizhnik, L.
21
2000
Schrödinger operators with nonlocal point interactions. Zbl 1122.47040
Albeverio, Sergio; Nizhnik, Leonid
18
2007
On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions. Zbl 1056.34093
Albeverio, Sergio; Nizhnik, Leonid
16
2003
Inverse problem of nonstationary scattering. Zbl 0224.35053
Nizhnik, L. P.
16
1971
Integration of multidimensional nonlinear equations by the method of the inverse problem. Zbl 0495.35041
Nizhnik, L. P.
15
1980
Inverse eigenvalue problems for nonlocal Sturm-Liouville operators. Zbl 1199.34028
Nizhnik, L. P.
14
2009
Inverse eigenvalue problems for nonlocal Sturm-Liouville operators on a star graph. Zbl 1249.34044
Nizhnik, L. P.
14
2012
Inverse spectral nonlocal problem for the first order ordinary differential equation. Zbl 1237.34021
Nizhnik, Leonid
13
2011
A Schrödinger operator with a \(\delta^{\prime}\)-interaction on a Cantor set and Krein–Feller operators. Zbl 1105.47039
Albeverio, Sergio; Nizhnik, Leonid
13
2006
The inverse scattering problems for the hyperbolic equations and their application to nonlinear integrable systems. Zbl 0679.35086
Nizhnik, L. P.
12
1988
Integration of the nonlinear two-dimensional spatial Schrödinger equation by the inverse-problem method. Zbl 0541.35068
Nizhnik, L. P.; Pochinajko, M. D.
12
1982
One-dimensional Schrödinger operators with \(\delta'\)-interactions on a set of Lebesgue measure zero. Zbl 1301.47034
Brasche, Johannes F.; Nizhnik, Leonid
10
2013
One-dimensional Schrödinger operators with general point interactions. Zbl 1289.47089
Brasche, J. F.; Nizhnik, L. P.
8
2013
Stable stationary solutions in reaction-diffusion systems consisting of a 1-D array of bistable cells. Zbl 1042.35028
Nizhnik, Leonid P.; Nizhnik, Irina L.; Hasler, Martin
7
2002
A Schrödinger operator with \(\delta'\)-interaction. Zbl 1032.34080
Nizhnik, L. P.
7
2003
Schrödinger operators with nonlocal potentials. Zbl 1289.34237
Albeverio, Sergio; Nizhnik, Leonid
7
2013
Schrödinger operators with a number of negative eigenvalues equal to the number of point interactions. Zbl 1046.34093
Albeverio, Sergio; Nizhnik, Leonid
5
2003
The inverse nonstationary scattering problem for a hyperbolic system of equations. Zbl 0368.35063
Niznik, L. P.; Tarasov, V. G.
5
1977
Singularly perturbed self-adjoint operators in scales of Hilbert spaces. Zbl 1150.47013
Albeverio, S.; Kuzhel, S.; Nizhnik, L.
5
2007
On rank one singular perturbations of selfadjoint operators. Zbl 0989.47011
Nizhnik, L. P.
5
2001
Finite rank self-adjoint perturbations. Zbl 1125.47014
Kuzhel, S.; Nizhnik, L.
5
2006
The scattering problem for non-stationary perturbations. Zbl 0098.29802
Nizhnik, L. P.
5
1960
A one-dimensional Schrödinger operator with point interactions on Sobolev spaces. Zbl 1104.34341
Nizhnik, L. P.
4
2006
The inverse scattering problem on a half-line with a non-selfconjugate potential matrix. Zbl 0314.34032
Niznik, L. P.; Fam Loi Vu
4
1975
Inverse nonstationary scattering problem for the Dirac equation. Zbl 0243.35074
Niznik, L. P.
4
1972
On approximations of rank one \({\mathcal H}_{-2}\)-perturbations. Zbl 1022.47009
Albeverio, S.; Koshmanenko, V.; Kurasov, P.; Nizhnik, L.
4
2003
On the perturbation theory of self-adjoint operators. Zbl 1182.47013
Albeverio, Sergio; Kuzhel, Sergei; Nizhnik, Leonid P.
4
2008
An inverse nonstationary scattering problem for a hyperbolic system of three first order equations on a semi-axis. Zbl 0731.35077
Nizhnik, L. P.; Iskenderov, N. Sh.
4
1990
Spectral analysis of metric graphs with infinite rays. Zbl 1324.05118
Nizhnik, L. P.
3
2014
Hochstadt inverse eigenvalue problem for Jacobi matrices. Zbl 1370.65019
Cojuhari, P. A.; Nizhnik, L. P.
3
2017
Boundary-value problems for the heat equation with a time derivative the matching conditions. Zbl 0511.35041
Nizhnik, L. P.; Taraborkin, L. A.
3
1982
A Schrödinger operator with point interactions on Sobolev spaces. Zbl 1112.35050
Albeverio, Sergio; Nizhnik, Leonid
3
2004
On the point interaction in quantum mechanics. Zbl 0894.47057
Nizhnik, L. P.
3
1997
Phillips symmetric operators and their extensions. Zbl 06946300
Kuzhel, Sergii; Nizhnik, Leonid
3
2018
Direct and inverse spectral problems for Dirac systems with nonlocal potentials. Zbl 1443.47019
Dębowska, Kamila; Nizhnik, Leonid P.
2
2019
Inverse nonstationary scattering problem for the Dirac equation. Zbl 0232.35016
Nizhnik, L. P.
2
1972
Inverse scattering problem for hyperbolic equations. Zbl 0499.35070
Nizhnik, L. P.
2
1978
The inverse non-stationary scattering problem for a hyperbolic system of equations. Zbl 0501.35068
Nizhnik, L. P.; Tarasov, V. G.
2
1981
On point interaction in quantum mechanics. Zbl 0933.47043
Nizhnik, L. P.
2
1997
Inverse scattering problems for hyperbolic equations and their applications. Zbl 0856.35133
Nizhnik, Leonid
2
1996
On the spectrum of general differential operators. Zbl 0088.30502
Nižnik, L. P.
2
1959
Inverse scattering problem for the system of Dirac equations in characteristic variables. Zbl 0544.47009
Nizhnik, L. P.; Pochinajko, M. D.; Tarasov, V. G.
1
1983
On the inverse eigenvalue problems for a Jacobi matrix with mixed given data. Zbl 1413.15028
Nizhnik, L. P.
1
2018
Scattering problem for Dirac system with nonlocal potentials. Zbl 1449.47025
Cojuhari, P. A.; Nizhnik, L. P.
1
2019
Inverse spectral problems for Jacobi matrix with finite perturbed parameters. Zbl 1363.47057
Nizhnik, L. P.
1
2015
Nonstationary inverse scattering problem for a system of second-order equations. Zbl 0511.35080
Nizhnik, L. P.; Fam Loj Vu
1
1983
Singularly perturbed normal operators. Zbl 1222.47014
Dudkin, M. E.; Nizhnik, L. P.
1
2010
Representations of double commutator by matrix-differential operators. Zbl 0940.47017
Nizhnik, L. P.; Turowska, L. B.
1
1997
A generalized sum of quadratic forms. Zbl 1074.47503
Brasche, J.; Nizhnik, L.
1
2002
The inverse scattering problem for an integrodifferential equation. Zbl 0724.45015
Nizhnik, L. P.; Tarasov, V. G.
1
1991
Generalized billiards inside an infinite strip with periodic laws of reflection along the strip’s boundaries. Zbl 1076.37021
Albeverio, S.; Galperin, G.; Nizhnik, I. L.; Nizhnik, L. P.
1
2005
Direct and inverse spectral problems for Dirac systems with nonlocal potentials. Zbl 1443.47019
Dębowska, Kamila; Nizhnik, Leonid P.
2
2019
Scattering problem for Dirac system with nonlocal potentials. Zbl 1449.47025
Cojuhari, P. A.; Nizhnik, L. P.
1
2019
Phillips symmetric operators and their extensions. Zbl 06946300
Kuzhel, Sergii; Nizhnik, Leonid
3
2018
On the inverse eigenvalue problems for a Jacobi matrix with mixed given data. Zbl 1413.15028
Nizhnik, L. P.
1
2018
Hochstadt inverse eigenvalue problem for Jacobi matrices. Zbl 1370.65019
Cojuhari, P. A.; Nizhnik, L. P.
3
2017
Inverse spectral problems for Jacobi matrix with finite perturbed parameters. Zbl 1363.47057
Nizhnik, L. P.
1
2015
Spectral analysis of metric graphs with infinite rays. Zbl 1324.05118
Nizhnik, L. P.
3
2014
One-dimensional Schrödinger operators with \(\delta'\)-interactions on a set of Lebesgue measure zero. Zbl 1301.47034
Brasche, Johannes F.; Nizhnik, Leonid
10
2013
One-dimensional Schrödinger operators with general point interactions. Zbl 1289.47089
Brasche, J. F.; Nizhnik, L. P.
8
2013
Schrödinger operators with nonlocal potentials. Zbl 1289.34237
Albeverio, Sergio; Nizhnik, Leonid
7
2013
Inverse eigenvalue problems for nonlocal Sturm-Liouville operators on a star graph. Zbl 1249.34044
Nizhnik, L. P.
14
2012
Inverse spectral nonlocal problem for the first order ordinary differential equation. Zbl 1237.34021
Nizhnik, Leonid
13
2011
Inverse nonlocal Sturm-Liouville problem. Zbl 1217.34040
Nizhnik, Leonid
26
2010
Singularly perturbed normal operators. Zbl 1222.47014
Dudkin, M. E.; Nizhnik, L. P.
1
2010
Inverse eigenvalue problems for nonlocal Sturm-Liouville operators. Zbl 1199.34028
Nizhnik, L. P.
14
2009
On the perturbation theory of self-adjoint operators. Zbl 1182.47013
Albeverio, Sergio; Kuzhel, Sergei; Nizhnik, Leonid P.
4
2008
Inverse spectral problems for non-local Sturm-Liouville operators. Zbl 1121.34014
Albeverio, S.; Hryniv, R. O.; Nizhnik, L. P.
34
2007
Schrödinger operators with nonlocal point interactions. Zbl 1122.47040
Albeverio, Sergio; Nizhnik, Leonid
18
2007
Singularly perturbed self-adjoint operators in scales of Hilbert spaces. Zbl 1150.47013
Albeverio, S.; Kuzhel, S.; Nizhnik, L.
5
2007
A Schrödinger operator with a \(\delta^{\prime}\)-interaction on a Cantor set and Krein–Feller operators. Zbl 1105.47039
Albeverio, Sergio; Nizhnik, Leonid
13
2006
Finite rank self-adjoint perturbations. Zbl 1125.47014
Kuzhel, S.; Nizhnik, L.
5
2006
A one-dimensional Schrödinger operator with point interactions on Sobolev spaces. Zbl 1104.34341
Nizhnik, L. P.
4
2006
Generalized billiards inside an infinite strip with periodic laws of reflection along the strip’s boundaries. Zbl 1076.37021
Albeverio, S.; Galperin, G.; Nizhnik, I. L.; Nizhnik, L. P.
1
2005
A Schrödinger operator with point interactions on Sobolev spaces. Zbl 1112.35050
Albeverio, Sergio; Nizhnik, Leonid
3
2004
On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions. Zbl 1056.34093
Albeverio, Sergio; Nizhnik, Leonid
16
2003
A Schrödinger operator with \(\delta'\)-interaction. Zbl 1032.34080
Nizhnik, L. P.
7
2003
Schrödinger operators with a number of negative eigenvalues equal to the number of point interactions. Zbl 1046.34093
Albeverio, Sergio; Nizhnik, Leonid
5
2003
On approximations of rank one \({\mathcal H}_{-2}\)-perturbations. Zbl 1022.47009
Albeverio, S.; Koshmanenko, V.; Kurasov, P.; Nizhnik, L.
4
2003
Stable stationary solutions in reaction-diffusion systems consisting of a 1-D array of bistable cells. Zbl 1042.35028
Nizhnik, Leonid P.; Nizhnik, Irina L.; Hasler, Martin
7
2002
A generalized sum of quadratic forms. Zbl 1074.47503
Brasche, J.; Nizhnik, L.
1
2002
On rank one singular perturbations of selfadjoint operators. Zbl 0989.47011
Nizhnik, L. P.
5
2001
Approximation of general zero-range potential. Zbl 1037.81532
Albeverio, S.; Nizhnik, L.
21
2000
On the point interaction in quantum mechanics. Zbl 0894.47057
Nizhnik, L. P.
3
1997
On point interaction in quantum mechanics. Zbl 0933.47043
Nizhnik, L. P.
2
1997
Representations of double commutator by matrix-differential operators. Zbl 0940.47017
Nizhnik, L. P.; Turowska, L. B.
1
1997
Inverse scattering problems for hyperbolic equations and their applications. Zbl 0856.35133
Nizhnik, Leonid
2
1996
Inverse scattering problems for hyperbolic equations. (Obratnye zadachi rasseyaniya dlya giperbolicheskikh uravnenij.) Zbl 0791.35142
Nizhnik, L. P.
29
1991
The inverse scattering problem for an integrodifferential equation. Zbl 0724.45015
Nizhnik, L. P.; Tarasov, V. G.
1
1991
An inverse nonstationary scattering problem for a hyperbolic system of three first order equations on a semi-axis. Zbl 0731.35077
Nizhnik, L. P.; Iskenderov, N. Sh.
4
1990
The inverse scattering problems for the hyperbolic equations and their application to nonlinear integrable systems. Zbl 0679.35086
Nizhnik, L. P.
12
1988
Inverse scattering problem for the system of Dirac equations in characteristic variables. Zbl 0544.47009
Nizhnik, L. P.; Pochinajko, M. D.; Tarasov, V. G.
1
1983
Nonstationary inverse scattering problem for a system of second-order equations. Zbl 0511.35080
Nizhnik, L. P.; Fam Loj Vu
1
1983
Integration of the nonlinear two-dimensional spatial Schrödinger equation by the inverse-problem method. Zbl 0541.35068
Nizhnik, L. P.; Pochinajko, M. D.
12
1982
Boundary-value problems for the heat equation with a time derivative the matching conditions. Zbl 0511.35041
Nizhnik, L. P.; Taraborkin, L. A.
3
1982
The inverse non-stationary scattering problem for a hyperbolic system of equations. Zbl 0501.35068
Nizhnik, L. P.; Tarasov, V. G.
2
1981
Integration of multidimensional nonlinear equations by the method of the inverse problem. Zbl 0495.35041
Nizhnik, L. P.
15
1980
Inverse scattering problem for hyperbolic equations. Zbl 0499.35070
Nizhnik, L. P.
2
1978
The inverse nonstationary scattering problem for a hyperbolic system of equations. Zbl 0368.35063
Niznik, L. P.; Tarasov, V. G.
5
1977
The inverse scattering problem on a half-line with a non-selfconjugate potential matrix. Zbl 0314.34032
Niznik, L. P.; Fam Loi Vu
4
1975
Inverse nonstationary scattering problem for the Dirac equation. Zbl 0243.35074
Niznik, L. P.
4
1972
Inverse nonstationary scattering problem for the Dirac equation. Zbl 0232.35016
Nizhnik, L. P.
2
1972
Inverse problem of nonstationary scattering. Zbl 0224.35053
Nizhnik, L. P.
16
1971
The scattering problem for non-stationary perturbations. Zbl 0098.29802
Nizhnik, L. P.
5
1960
On the spectrum of general differential operators. Zbl 0088.30502
Nižnik, L. P.
2
1959
all top 5

Cited by 223 Authors

18 Nizhnik, Leonid Pavlovich
9 Albeverio, Sergio A.
9 Ismailov, Mansur I.
9 Prykarpatsky, Anatoliy Karolevych
9 Yurko, Vjacheslav Anatoljevich
8 Prykarpatsky, Yarema Anatoliyovych
7 Buterin, Sergey Alexandrovich
7 Samoĭlenko, Anatoliĭ Mykhaĭlovych
7 Yang, Chuanfu
6 Kostenko, Aleksey S.
6 Malamud, Mark M.
5 Bondarenko, Natalia P.
5 Kuzhel, Sergei
4 Behrndt, Jussi
4 Belishev, Mikhail Igorevitch
4 Exner, Pavel
4 Hu, Yiteng
4 Iskenderov, Nizameddin Sh.
4 Koshmanenko, Volodymyr Dmytrovych
3 Eckhardt, Jonathan
3 Fülöp, Tamás
3 Golenia, Jolanta
3 Golovatyj, Yuriy Danilovich
3 Hryniv, Rostyslav O.
3 Khrabustovskyi, Andrii
3 Li, Kun
3 Lotoreichik, Vladimir
3 Nizhnik, Irina L.
3 Ogurisu, Osamu
3 Pham Loi Vu
3 Shieh, Chung-Tsun
3 Sun, Fu
3 Tsutsui, Izumi
3 Wang, Yuping
3 Wu, Xuewen
3 Zolotarëv, Vladimir Alekseevich
3 Zolotaryuk, Alexander V.
2 Åberg, Ingegerd
2 Adalar, Ibrahim
2 Blackmore, Denis L.
2 Cheon, Taksu
2 Dias, Nuno Costa
2 Dobosevych, Oles
2 Dudkin, Mykola E.
2 Dyuzhenkova, O. Yu.
2 Fam Loj Vu
2 Fassari, Silvestro
2 Ferapontov, Evgeny Vladimirovich
2 Golinskii, Leonid Borisovich
2 Granet, Etienne
2 Higuchi, Yusuke
2 Jex, Michal
2 Jorge, Cristina
2 Kaup, David J.
2 Keskin, Baki
2 Khasanov, Aknazar Bekdurdievich
2 Kuznetsova, Mariya Andreevna
2 Lonigro, Davide
2 Lou, Senyue
2 Oridoroga, Leonid L.
2 Ozkan, Ahmet Sinan
2 Pestov, Andrei Leonidovich
2 Prata, João Nuno
2 Rinaldi, Fabio
2 Taraborkin, L. A.
2 Tekin, Ibrahim
2 Teschl, Gerald
2 Vasil’ev, Sergeĭ Vladimirovich
2 Wei, Guangsheng
2 Zolotaryuk, Yaroslav
1 Agrawal, Aahan
1 Akhtyamov, Azamat Moukhtarovich
1 Allanazarova, T. Zh.
1 Alonso, Martinez L.
1 Arlins’kyĭ, Yuriĭ Moĭseĭovych
1 Arosio, Alberto
1 Baiocchi, Claudio
1
1 Basalaev, M. Yu.
1 Bebiano, Natália Isabel Quadros
1 Berge, Astrid
1 Blagovestchenskiĭ, Aleksandr Sergeevich
1 Bonin, C. A.
1 Borisov, Denis Ivanovich
1 Borovskikh, A. V.
1 Boyko, Vyacheslav M.
1 Bozhok, R. V.
1 Braverman, Michael Sh.
1 Brezetsky, Serhiy
1 Cai, Jinming
1 Cakmak, Yasar
1 Cardone, Giuseppe
1 Chandrasekar, V. K.
1 Chang, Hui
1 Chang, Jen-Hsu
1 Chen, Guoliang
1 Chen, Lung-Hui
1 Choque Rivero, Abdon Eddy
1 Cojuhari, Petru A.
1 Colbert-Pollack, Seth
...and 123 more Authors
all top 5

Cited in 80 Serials

20 Ukrainian Mathematical Journal
14 Journal of Mathematical Analysis and Applications
10 Journal of Mathematical Physics
8 Journal of Physics A: Mathematical and Theoretical
6 Reports on Mathematical Physics
6 Integral Equations and Operator Theory
6 Journal of Differential Equations
6 Journal of Mathematical Sciences (New York)
5 Applied Mathematics and Computation
5 Journal of Functional Analysis
5 Journal of Inverse and Ill-Posed Problems
5 Analysis and Mathematical Physics
4 Applied Mathematics Letters
4 Differential Equations
3 Letters in Mathematical Physics
3 Physics Letters. A
3 Wave Motion
3 Functional Analysis and its Applications
3 Results in Mathematics
3 Physica D
3 Annals of Physics
3 Communications in Nonlinear Science and Numerical Simulation
3 Complex Analysis and Operator Theory
3 Operators and Matrices
2 Linear and Multilinear Algebra
2 Mathematical Methods in the Applied Sciences
2 Mathematical Notes
2 Theoretical and Mathematical Physics
2 Proceedings of the American Mathematical Society
2 Siberian Mathematical Journal
2 Acta Applicandae Mathematicae
2 St. Petersburg Mathematical Journal
2 Turkish Journal of Mathematics
2 Opuscula Mathematica
2 Chaos
2 Annales Henri Poincaré
2 Journal of Nonlinear Mathematical Physics
2 Central European Journal of Mathematics
2 International Journal of Geometric Methods in Modern Physics
2 Boundary Value Problems
2 Advances in Mathematical Physics
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Ukraïns’kyĭ Matematychnyĭ Zhurnal
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Acta Mathematica Vietnamica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Journal of Soviet Mathematics
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Studies in Applied Mathematics
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Applied Numerical Mathematics
1 Differential Geometry and its Applications
1 Linear Algebra and its Applications
1 Cybernetics and Systems Analysis
1 Russian Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Doklady Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Matematychni Studiï
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Journal of Mathematical Physics, Analysis, Geometry
1 Inverse Problems in Science and Engineering
1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
1 Banach Journal of Mathematical Analysis
1 Science China. Mathematics
1 Annals of Functional Analysis
1 Symmetry
1 Bulletin of Mathematical Sciences
1 Open Mathematics

Citations by Year