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Igor Parasyuk
Igor Parasyuk
Taras Shevchenko National University of Kyiv
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Conservation of multidimensional invariant tori of Hamiltonian systems
IO Parasyuk
Ukrainian Mathematical Journal 36 (4), 380-385, 1984
461984
Conservation of quasiperiodic motions in reversible multifrequency systems
IO Parasyuk
Dokl. Akad. Nauk Ukrain. SSR. Ser. A 9, 19-22, 1982
321982
Generalized and classical almost periodic solutions of Lagrangian systems
SF Zakharin, IO Parasyuk
FUNKCIALAJ EKVACIOJ SERIO INTERNACIA 42 (3), 325-338, 1999
311999
Coisotropic invariant tori of Hamiltonian systems of the quasiclassical theory of motion of a conduction electron
IO Parasyuk
Ukrainian Mathematical Journal 42 (3), 308-312, 1990
171990
Integral representation of solutions to boundary-value problems on the half-line for linear ODEs with singularity of the first kind.
Y Horishna, I Parasyuk, L Protsak
Electronic Journal of Differential Equations (EJDE)[electronic only] 2008 …, 2008
122008
Zones of instability of the Schrödinger equation with a smooth quasiperiodic potential
IO Parasyuk
Ukrainian Mathematical Journal 30 (1), 50-56, 1978
111978
Dynamical bifurcation of multi-frequency oscillations in a fast-slow system
AM Samoilenko, IO Parasyuk, BV Repeta
arXiv preprint arXiv:1503.02000, 2015
102015
Dynamical bifurcation of multi-frequency oscillations in a fast-slow system
AM Samoilenko, IO Parasyuk, BV Repeta
arXiv preprint arXiv:1503.02000, 2015
102015
Bifurcation of a Whitney-smooth family of coisotropic invariant tori of a Hamiltonian system under small deformations of a symplectic structure
AA Kubichka, IO Parasyuk
Ukrainian Mathematical Journal 53 (5), 701-718, 2001
102001
Bifurcation of a Cantor set of coisotropic invariant tori of Hamiltonian systems under perturbation of symplectic structure
IO Parasyuk
Nelin. Kolyvannya 1 (2), 81-89, 1998
81998
Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori
IO Parasyuk
Ukrainian Mathematical Journal 45 (1), 85-93, 1993
81993
Differential Equations [in Ukrainian]
AM Samoilenko, MO Perestyuk, IO Parasyuk
Lybid’, 2003
72003
On smoothness of generalized quasiperiodic solutions of Lagrangian systems on Riemannian manifolds of nonpositive curvature
SF Zakharin, IO Parasyuk
Nonlinear Oscil.(Nelinijni Kolyvannya) 2, 180-193, 1999
71999
Variational approach for weak quasiperiodic solutions of quasiperiodically excited Lagrangian systems on Riemannian manifolds
I Parasyuk, A Rustamova
Electronic Journal of Differential Equations 2012 (66), 1-22, 2012
62012
Generalized quasiperiodic solutions of Lagrangian systems on Riemannian manifolds of nonpositive curvature
SF Zakharin, IO Parasyuk
Bull. Kyiv. Univ.(Visnyk Kyiv. Univ.), 15-20, 1999
61999
Perturbations of degenerate coisotropic invariant tori of Hamiltonian systems
IO Parasyuk
Ukrainian Mathematical Journal 50 (1), 83-99, 1998
61998
Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. I
IO Parasyuk
Ukrainian Mathematical Journal 46 (5), 572-580, 1994
61994
Existence of V-bounded solutions for nonautonomous nonlinear systems via the Wazewski topological principle
V Lagoda, I Parasyuk
arXiv preprint arXiv:0911.4643, 2009
52009
Theorem on perturbation of coisotropic invariant tori of locally Hamiltonian systems and its applications
YV Loveikin, IO Parasyuk
Nonlinear Oscillations 8 (4), 487-512, 2005
52005
On the preservation of coisotropic invariant tori of locally Hamiltonian systems
IO Parasyuk
Some Problems of the Theory of Asymptotic Methods of Nonlinear Mechanics …, 1986
51986
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