Professor, Dr. Leonid NIZHNIK

Address:
Email: nizhnik (#) imath . kiev . ua
Fax: +(38044) 235 20 30
Room 406

Institute of Mathematics, Tereschenkivska 3, Kiev, 01 601, Ukraine.

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.

1. Nizhnik, L., Hasler, M. and Nizhnik, I. (2002): Stable stationary solutions in reaction-diffusion systems consisting of a 1-D array of bistable cells. Int. J. of Bifurcation and Chaos 2, 261-279.


2. Albeverio, S., Koshmanenko, V., Kurasov P., Nizhnik L. (2002): On approximations of rank one H_-2-perturbations. Proc. Amer. Math. Soc. 5, 1443-1452.


3. Brasche, J. and Nizhnik, L. (2002): A generalized sum of quadratic forms. Methods Funct. Anal. Topology 8, n 3, 13-19.


4. Nizhnik, L. (2003): Schrodinger operator with δ'-interaction. J. Funct. Anal. Appl. 37, 1, 72-74.


5. Albeverio, S. and Nizhnik, L. (2003): On the number of negative eigenvalues of a one-dimensional Schrodinger operator with point interaction. Lett. Math. Phys. 65, 27-35.


6. Albeverio, S. and Nizhnik, L. (2003): Schrodinger operators with a number of negative eigenvalues equal to the number of point interactions. Methods Funct. Anal. Topology 9, n 4, 273-286.


7. Nizhnik, L., Hasler, M. and Nizhnik, I. (2003): Traveling avalanche waves in spatially discrete bistable reaction-diffusion systems, Preprint 03- 05-115 BiBoS Universitat Bielefeld.


8. Albeverio, S., Nizhnik, L. and Tarasov, V. (2004): Inverse scattering problem for a Dirac system with nonstationary point interactions. Inverse Problems 20, 799-813.
   
9. Albeverio, S. and Nizhnik, L. (2004): A Schrodinger operator with point interactions on Sobolev spaces. Lett. Math. Phys. 70, 185-194.
10. Albeverio, S., Galperin, G., Nizhnik, I. and Nizhnik, L. (2004): Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries. Preprint 04- 08-154 BiBoS Universitat Bielefeld, Regular and Chaotic Dynamics (2005), 10 (3), 285-306.


11. Kosyak, A. and Nizhnik, L. (2005): Operators of Generalized Translation and Hypergroups Constructed from Self-Adjoint Differential Operators. Ukrain. Math. J. 57, n. 5, 782-793.


12. Albeverio, S. and Nizhnik, L. (2006): A Schrodinger operator with δ'-interaction on a Cantor set and Krein-Feller operators, Mathematische Nachrichten, 279, No. 5-6, 467-476.


13. Nizhnik, L. (2006): A one-dimensional Schrodinger operators with point interactions on Sobolev spaces, J. Funct. Anal. Appl. 40, n. 2, 143-147.


14. Kuzhel, S. and Nizhnik, L. (2006): Finite Rank Self-Adjoint Perturbations, Methods Funct. Anal. Topology, 12, n. 3, 243-253.


15. Albeverio, S., Kuzhel, S. and Nizhnik, L. (2007): Singularly Perturbed Self-Adjoint Operators in Scales of Hilbert spaces, Ukrain. Math. J., Vol 59, 6, 723-743.


16. Albeverio, S., Hryniv, R. and Nizhnik, L. (2007): Inverse spectral problems for non-local Sturm-Liouville operators, Inverse Problems, 23, 523-535.


17. Albeverio, S. and Nizhnik, L. (2007): Schrodinger operators with nonlocal point interactions, J.Math. Anal. Appl. Vol 332, 2, 884-895.


18. Albeverio, S., Kuzhel, S. and Nizhnik, L. (2008): On the Perturbation Theory of Self-Adjoint Operators, Tokyo Journal of Mathematics, Vol 31, 2, 273-292.


19. Nizhnik, L. (2009): Inverse eigenvalue problems for nonlocal Sturm-Liouville operators, Methods Funct. Anal. Topology, Vol 15, 1, 41-47.