Nizhnik Irene
Publications
Nizhnik Irina L. Deterministic diffusion in dynamical systems with a tiled phase space, arXiv:2501.00182, 2024. DOI
Debowska K., Nizhnik I. L. Spectral analysis of self-adjoint first order differential operators with nonlocal potentials, arXiv:2312.15775, 2023. DOI
Nizhnik L., Nizhnik I. Deterministic diffusion, Ukrainian Math. J. 2020. — 71, ¹ 11. — P. 1781-1801. DOI
Nizhnik I. Anomalous diffusion in dynamical systems with reflection, Transactions of Institute of Mathematics NAS of Ukraine. — 2017. — 14, ¹ 3. — P. 271-292. PDF
Nizhnik I. Periodic solutions of differential equations with discontinuous nonlinearity, Transactions of Institute of Mathematics NAS of Ukraine. — 2016. — 13, ¹1. — P. 274-288. PDF
Nizhnik I. Traveling avalanche waves in reaction-diffusion lattices, Transactions of Institute of Mathematics NAS of Ukraine. — 2016. — 13, ¹2, 227-241. PDF
Samoilenko A. M., Nizhnik I.L. Differential Equations with bistable nonlinearity, Ukrainian Math. J., 2015, Vol. 67, 4, 584-624. https://doi.org/10.1007/s11253-015-1102-4
Nizhnik L., Nizhnik I., Invariant measures with respect to the mapping of the segment on itself, Transactions of Institute of Mathematics NAS of Ukraine, 2015, Vol. 12 No. 2, 307-314. PDF
Samoilenko A. M., Nizhnik I.L. Kinklike solutions of fourth-order differential equations with a cubic bistable nonlinearity, Differential Equations, 2014, Vol.50, ¹2, 203-212. https://doi.org/10.1134/S0012266114020074
Nizhnik I.L., Krasneeva A.O. Periodic solutions of second-order differential equations with discontinuous nonlinearity, J. Math. Sci.(N.Y.), 2013, 191, ¹3, 421-430. DOI
Samoilenko A. M., Nizhnik I.L., Bounded solutions of a fourth-order differential equation with a model bistable nonlinearity, Ukr. Math. Bull., 2009, 6, ¹ 3, 397-420.
Nizhnik I. Stable stationary solutions for a reaction-diffusion equation with a multi-stable nonlinearity, Phys. Lett. A, 2006, 357, 319-322. https://doi.org/10.1016/j.physleta.2006.04.054
Albeverio S, Galperin G., Nizhnik L., Nizhnik I.Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries, Regular and Chaotic Dynamics, (2005), 10 (3), 285-306. PDF
Nizhnik L., Nizhnik I., Hasler M. Stable stationary solutions in reaction-diffusion systems consisting of a 1-d array of bistable cells, Int. J. Bifur. Chaos, 2002, ¹2, 261-279. https://doi.org/10.1142/S0218127402004322
Albeverio S., Nizhnik I. Spatial chaos of a fourth order nonlinear parabolic equation, Phys. Lett. A., 2001, 288, 299-304. https://doi.org/10.1016/S0375-9601(01)00532-1
Debowska K., Nizhnik I. L. Spectral analysis of self-adjoint first order differential operators with nonlocal potentials, arXiv:2312.15775, 2023. DOI
Nizhnik L., Nizhnik I. Deterministic diffusion, Ukrainian Math. J. 2020. — 71, ¹ 11. — P. 1781-1801. DOI
Nizhnik I. Anomalous diffusion in dynamical systems with reflection, Transactions of Institute of Mathematics NAS of Ukraine. — 2017. — 14, ¹ 3. — P. 271-292. PDF
Nizhnik I. Periodic solutions of differential equations with discontinuous nonlinearity, Transactions of Institute of Mathematics NAS of Ukraine. — 2016. — 13, ¹1. — P. 274-288. PDF
Nizhnik I. Traveling avalanche waves in reaction-diffusion lattices, Transactions of Institute of Mathematics NAS of Ukraine. — 2016. — 13, ¹2, 227-241. PDF
Samoilenko A. M., Nizhnik I.L. Differential Equations with bistable nonlinearity, Ukrainian Math. J., 2015, Vol. 67, 4, 584-624. https://doi.org/10.1007/s11253-015-1102-4
Nizhnik L., Nizhnik I., Invariant measures with respect to the mapping of the segment on itself, Transactions of Institute of Mathematics NAS of Ukraine, 2015, Vol. 12 No. 2, 307-314. PDF
Samoilenko A. M., Nizhnik I.L. Kinklike solutions of fourth-order differential equations with a cubic bistable nonlinearity, Differential Equations, 2014, Vol.50, ¹2, 203-212. https://doi.org/10.1134/S0012266114020074
Nizhnik I.L., Krasneeva A.O. Periodic solutions of second-order differential equations with discontinuous nonlinearity, J. Math. Sci.(N.Y.), 2013, 191, ¹3, 421-430. DOI
Samoilenko A. M., Nizhnik I.L., Bounded solutions of a fourth-order differential equation with a model bistable nonlinearity, Ukr. Math. Bull., 2009, 6, ¹ 3, 397-420.
Nizhnik I. Stable stationary solutions for a reaction-diffusion equation with a multi-stable nonlinearity, Phys. Lett. A, 2006, 357, 319-322. https://doi.org/10.1016/j.physleta.2006.04.054
Albeverio S, Galperin G., Nizhnik L., Nizhnik I.Generalized billiards inside an infinite strip with periodic laws of reflection along the strip's boundaries, Regular and Chaotic Dynamics, (2005), 10 (3), 285-306. PDF
Nizhnik L., Nizhnik I., Hasler M. Stable stationary solutions in reaction-diffusion systems consisting of a 1-d array of bistable cells, Int. J. Bifur. Chaos, 2002, ¹2, 261-279. https://doi.org/10.1142/S0218127402004322
Albeverio S., Nizhnik I. Spatial chaos of a fourth order nonlinear parabolic equation, Phys. Lett. A., 2001, 288, 299-304. https://doi.org/10.1016/S0375-9601(01)00532-1