Professor, Dr. Leonid NIZHNIK
Department of Functional Analysis
Institute of Mathematics NAS of Ukraine
Address:
Email: nizhnik (#) imath . kiev . ua
Fax: +(38044) 235 20 30
Room 406
Institute of Mathematics, Tereschenkivska 3,
Kiev, 01 601, Ukraine.
MAIN RESEARCH ACTIVITIES
in functional analysis, differential equations, mathematical physics,
numerical and applied mathematics.
In particular:

Inverse Scattering Problems

Soliton Theory

Spectral Theory

Nonlinear Problems

Mathematical Problems in Electroengineering.
L.Nizhnik was awarded the State Prize of Ukraine in Science and Technology
(1987, 1998) and Ostrogradskii Prize NAS of Ukraine (2006).
He is the author of 4 monographs and over 170 research papers.
RECENT PUBLICATIONS

Albeverio, S. and Nizhnik, L. (2006):
A Schrodinger operator with δ'interaction on a Cantor set and
KreinFeller operators,
Mathematische Nachrichten, 279, No. 56, 467476.

Nizhnik, L. (2006): A onedimensional Schrodinger operators with point interactions
on Sobolev spaces, J. Funct. Anal. Appl. 40, n. 2, 143147.

Kuzhel, S. and Nizhnik, L. (2006):
Finite Rank SelfAdjoint Perturbations,
Methods Funct. Anal. Topology, 12, n. 3, 243253.

Albeverio, S., Kuzhel, S. and Nizhnik, L. (2007):
Singularly Perturbed SelfAdjoint Operators in Scales of Hilbert spaces,
Ukrain. Math. J., Vol 59, 6, 723743.

Albeverio, S., Hryniv, R. and Nizhnik, L. (2007): Inverse spectral problems
for nonlocal SturmLiouville operators, Inverse Problems,
23, 523535.

Albeverio, S. and Nizhnik, L. (2007):
Schrodinger operators with nonlocal point interactions,
J.Math. Anal. Appl. Vol 332, 2, 884895.

Albeverio, S., Kuzhel, S. and Nizhnik, L. (2008):
On the Perturbation Theory of SelfAdjoint Operators, Tokyo Journal of Mathematics, Vol 31, 2, 273292.
 Nizhnik, L. (2009): Inverse eigenvalue problems for nonlocal SturmLiouville operators, Methods Funct. Anal.
Topology, Vol 15, 1, 4147.
 Dudkin, M. E., Nizhnik, L. P. (2010): Singularly perturbed
normal operators, Methods Funct. Anal.
Topology, Vol 16, 4, 298303.
 Berezansky, Yu. M., Brasche, J. and Nizhnik, L. P.
(2011): On generalized selfadjoint operators on scales of Hilbert spaces,
Methods Funct. Anal.
Topology, Vol 17, 3, 193198.
 Nizhnik, L. (2011): Inverse spectral nonlocal problem for the first order ordinary differential
equation, Tamkang J. Mathematics, 42, 3, 385394.
 Nizhnik, L. (2012): Inverse eigenvalue problems for nonlocal SturmLiouville operators on a star graph, Methods Funct. Anal.
Topology, Vol 18, 1, 6878.
 Brasche, J. and Nizhnik, L. P.(2013):Onedimensional
Schrodinger operators with general point interactions, Methods Funct. Anal.
Topology, Vol 19, 1, 415.
 Brasche, J. and Nizhnik, L. P.(2013): Onedimensional Schrodinger operators with δ'interactions on
a set of Lebesgue measure zero, Operators and Matrices, Vol 7,4, 887904.
 Albeverio, S. and Nizhnik, L. (2013): Schrodinger
operators with nonlocal potentials, Methods Funct. Anal.
Topology Vol 19, 3, 199210.

Lebid', V. and Nizhnik, L. (2014): Spectral
analysis of locally finite graphs with one infinite chain, Reports of the National Academy of Sciences of Ukraine,
no.3, 29–35.
 Lebid', V. and Nizhnik,L. (2015): Spectral
analysis of some graphs with infinite chains,
Ukr. Math. J., Vol 66, no.9, 13331345.
 Nizhnik, L. (2015): Inverse spectral problems for Jacobi matrix with finite perturbed parameters, Methods Funct. Anal.
Topology, Vol 21, 3, 256265.
Last updated 01.12.2015
© Irene Nizhnik, 2005.