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Author ID: parasyuk.igor-o Recent zbMATH articles by "Parasyuk, Igor O."
Published as: Parasyuk, I. O.; Parasyuk, Igor; Parasyuk, I.; Parasyuk, Igor O.; Parasyuk, Ihor
Homepage: http://www.diffeq.univ.kiev.ua/eng/?id=41
External Links: MGP · ORCID
all top 5

Co-Authors

37 single-authored
10 Samoĭlenko, Anatoliĭ Mykhaĭlovych
5 Perestyuk, Mykola Oleksiĭovych
4 Lukovsky, Ivan Oleksandrovych
4 Makarov, Volodymyr Leonidovych
4 Zakharin, Sergei F.
3 Boĭchuk, Oleksandr Andriĭovych
3 Lovejkin, Yu. V.
3 Pozur, Sergij V.
3 Protsak, L. V.
3 Sharkovs’kyĭ, Oleksandr Mykolaĭovych
3 Stanzhyts’ky, O. M.
3 Tkachenko, Victor Ivanovich
3 Vakal, Yu. E.
2 Antonyuk, Oleksandra Viktorivna
2 Antonishin, I. O.
2 Berezans’kyĭ, Yuriĭ Makarovych
2 Denysenko, Oleksandr M.
2 Fushchych, Vil’gel’m Illich
2 Korolyuk, Volodymyr Semenovych
2 Kubichka, Andrij A.
2 Lagoda, Volodymyr
2 Lahoda, V. A.
2 Luchko, Alina
2 Nikitin, A. H.
2 Repeta, B. V.
2 Ronto, M. I.
2 Rustamova, Anna
1 Diblík, Josef
1 Fečkan, Michal
1 Gorodnii, M. F.
1 Horishna, Yulia
1 Hutlyans’kyi, V. Ya.
1 Kapudtyan, O. V.
1 Khruslov, Eugene Yakovlevich
1 Kiguradze, Ivan Tarielovich
1 Kochubeĭ, Anatoliĭ Naumovych
1 Kozachenko, Yuriĭ Vasyl’ovych
1 Kulinich, Grygoriĭ Logvynovych
1 Kushnir, Roman M.
1 Kyrychenko, Volodymyr Vasyl’ovych
1 Loveikin, Yu. V.
1 Marchenko, V. O.
1 Meleshko, V’yacheslav Volodymyrovych
1 Nagornyj, Volodymyr N.
1 Pastur, Leonid Andreevich
1 Petryshyn, Roman I.
1 Plakhotnyk, V. V.
1 Portenko, Mykola Ivanovych
1 Pratsiovytyi, Mykola
1 Protsak, Lyudmyla
1 Repeta, Bogdan
1 Romanchenko, I. A.
1 Rozov, Nikolaĭ Khristovich
1 Samoĭlenko, Valeriĭ Grygorovych
1 Shevchuk, Igor Oleksandrovych
1 Teplinsky, Yuriy V.
1 Trofimchuk, Sergei I.
1 Vyshenskij, V. A.
1 Zakhavin, S. V.
1 Zhuravlëv, Viktor Filippovich

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 98 times in 75 Documents Cited by Year
Conservation of quasi-periodic motions of reversible multifrequency systems. Zbl 0502.34026
Parasyuk, I. O.
18
1982
Differential equations. 2nd revised ed. (Dyferentsial’ni rivnyannya.) Zbl 1330.34005
Samoilenko, A. M.; Perestyuk, M. O.; Parasyuk, I. O.
12
2003
Conservation of multidimensional invariant tori of Hamiltonian systems. Zbl 0561.58017
Parasyuk, I. O.
8
1984
Generalized and classical almost periodic solutions of Lagrangian systems. Zbl 1141.37350
Zakharin, Sergei F.; Parasyuk, Igor O.
8
1999
On preservation of invariant tori of Hamiltonian systems. Zbl 0587.58019
Parasyuk, I. O.
8
1984
On smoothness of generalized quasiperiodic solutions of Lagrangian systems on Riemannian manifolds of nonpositive curvature. Zbl 1006.37036
Zakharin, S. F.; Parasyuk, I. O.
5
1999
Variational approach for weak quasiperiodic solutions of quasiperiodically excited Lagrangian systems on Riemannian manifolds. Zbl 1260.37030
Parasyuk, Igor; Rustamova, Anna
3
2012
Bifurcation of a Whitney-smooth family of coisotropic invariant tori of a Hamiltonian system under small deformation of a symplectic structure. Zbl 0995.37047
Kubichka, A. A.; Parasyuk, I. O.
3
2001
Coisotropic invariant tori of Hamiltonian systems of the quasiclassical theory of motion of a conduction electron. Zbl 0706.58062
Parasyuk, I. O.
3
1990
Zones of instability of the Schrödinger equation with a smooth quasiperiodic potential. Zbl 0435.34042
Parasyuk, I. O.
3
1978
Theorem on the existence of an invariant section over \(\mathbb R^m\) for the indefinite monotone system in \(\mathbb R^m\times\mathbb R^n\). Zbl 1303.34037
Lahoda, V. A.; Parasyuk, I. O.
3
2013
Reduction and coisotropic invariant tori of Hamiltonian systems with non-Poisson commutative symmetries. II. Zbl 0841.58026
Parasyuk, I. O.
2
1994
Integral representation of solutions to boundary-value problems on the half-line for linear ODEs with singularity of the first kind. Zbl 1172.34016
Horishna, Yulia; Parasyuk, Igor; Protsak, Lyudmyla
2
2008
Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori. Zbl 0813.58023
Parasyuk, I. O.
2
1993
Dynamical bifurcation of multifrequency oscillations in a fast-slow system. Zbl 1376.34045
Samoilenko, A. M.; Parasyuk, I. O.; Repeta, B. V.
2
2015
Quasiperiodic extremals of nonautonomous Lagrangian systems on Riemannian manifolds. Zbl 1376.37109
Parasyuk, I. O.
2
2015
Hyperbolic quasiperiodic solutions of U-monotone systems on Riemannian manifolds. (Hyperbolic quasiperiodic solutions of U-monotone systems on Reimannian manifolds.) Zbl 1428.34063
Parasyuk, Igor O.
2
2019
A theorem on perturbation of coisotropic invariant tori of locally Hamiltonian systems and its application. Zbl 1107.37050
Lovejkin, Yu. V.; Parasyuk, I. O.
1
2005
Bifurcation of the Cantor set of coisotropic invariant tori of the Hamiltonian system under symplectic structure perturbation. Zbl 0935.37019
Parasyuk, I. O.
1
1998
On Galerkin’s method in the perturbation theory of invariant tori. Zbl 0358.34040
Samojlenko, A. M.; Parasyuk, I. O.
1
1977
Non-Poissonian commutative symmetries and multidimensional invariant tori of Hamiltonian systems. Zbl 0616.58018
Parasyuk, I. O.
1
1984
Qualitative analysis of families of bounded solutions of the nonlinear three-dimensional Schrödinger equation. Zbl 0727.35127
Parasyuk, I. O.; Fushchich, V. I.
1
1990
On the one-dimensional Schrödinger equation with almost periodic potential. Zbl 0395.35083
Parasyuk, I. O.
1
1978
Invariant tori of locally Hamiltonian systems close to conditionally integrable systems. Zbl 1144.37445
Lovejkin, Yu. V.; Parasyuk, I. O.
1
2007
Estimate for the number of perturbed ultrasubharmonics of a system with one and a half degrees of freedom close to a Hamiltonian system. Zbl 1336.37051
Vakal, Yu. E.; Parasyuk, I. O.
1
2011
Substantiation of the Galerkin’s procedure for indefinite monotone quasi-periodic systems. Zbl 1034.34052
Parasyuk, I. O.; Romanchenko, I. A.
1
2002
Existence of \(V\)-bounded solutions for non-autonomous nonlinear systems via the Ważewski topological principle. Zbl 1289.34104
Lagoda, Volodymyr; Parasyuk, Igor
1
2010
Lipschitz invariant tori of indefinite-monotone systems. Zbl 1267.37063
Samoilenko, A. M.; Parasyuk, I. O.; Lahoda, V. A.
1
2012
Bifurcation of coisotropic invariant tori under locally Hamiltonian perturbations of integrable systems and nondegenerate deformation of symplectic structure. Zbl 1262.37026
Loveikin, Yu. V.; Parasyuk, I. O.
1
2006
Hyperbolic quasiperiodic solutions of U-monotone systems on Riemannian manifolds. (Hyperbolic quasiperiodic solutions of U-monotone systems on Reimannian manifolds.) Zbl 1428.34063
Parasyuk, Igor O.
2
2019
Dynamical bifurcation of multifrequency oscillations in a fast-slow system. Zbl 1376.34045
Samoilenko, A. M.; Parasyuk, I. O.; Repeta, B. V.
2
2015
Quasiperiodic extremals of nonautonomous Lagrangian systems on Riemannian manifolds. Zbl 1376.37109
Parasyuk, I. O.
2
2015
Theorem on the existence of an invariant section over \(\mathbb R^m\) for the indefinite monotone system in \(\mathbb R^m\times\mathbb R^n\). Zbl 1303.34037
Lahoda, V. A.; Parasyuk, I. O.
3
2013
Variational approach for weak quasiperiodic solutions of quasiperiodically excited Lagrangian systems on Riemannian manifolds. Zbl 1260.37030
Parasyuk, Igor; Rustamova, Anna
3
2012
Lipschitz invariant tori of indefinite-monotone systems. Zbl 1267.37063
Samoilenko, A. M.; Parasyuk, I. O.; Lahoda, V. A.
1
2012
Estimate for the number of perturbed ultrasubharmonics of a system with one and a half degrees of freedom close to a Hamiltonian system. Zbl 1336.37051
Vakal, Yu. E.; Parasyuk, I. O.
1
2011
Existence of \(V\)-bounded solutions for non-autonomous nonlinear systems via the Ważewski topological principle. Zbl 1289.34104
Lagoda, Volodymyr; Parasyuk, Igor
1
2010
Integral representation of solutions to boundary-value problems on the half-line for linear ODEs with singularity of the first kind. Zbl 1172.34016
Horishna, Yulia; Parasyuk, Igor; Protsak, Lyudmyla
2
2008
Invariant tori of locally Hamiltonian systems close to conditionally integrable systems. Zbl 1144.37445
Lovejkin, Yu. V.; Parasyuk, I. O.
1
2007
Bifurcation of coisotropic invariant tori under locally Hamiltonian perturbations of integrable systems and nondegenerate deformation of symplectic structure. Zbl 1262.37026
Loveikin, Yu. V.; Parasyuk, I. O.
1
2006
A theorem on perturbation of coisotropic invariant tori of locally Hamiltonian systems and its application. Zbl 1107.37050
Lovejkin, Yu. V.; Parasyuk, I. O.
1
2005
Differential equations. 2nd revised ed. (Dyferentsial’ni rivnyannya.) Zbl 1330.34005
Samoilenko, A. M.; Perestyuk, M. O.; Parasyuk, I. O.
12
2003
Substantiation of the Galerkin’s procedure for indefinite monotone quasi-periodic systems. Zbl 1034.34052
Parasyuk, I. O.; Romanchenko, I. A.
1
2002
Bifurcation of a Whitney-smooth family of coisotropic invariant tori of a Hamiltonian system under small deformation of a symplectic structure. Zbl 0995.37047
Kubichka, A. A.; Parasyuk, I. O.
3
2001
Generalized and classical almost periodic solutions of Lagrangian systems. Zbl 1141.37350
Zakharin, Sergei F.; Parasyuk, Igor O.
8
1999
On smoothness of generalized quasiperiodic solutions of Lagrangian systems on Riemannian manifolds of nonpositive curvature. Zbl 1006.37036
Zakharin, S. F.; Parasyuk, I. O.
5
1999
Bifurcation of the Cantor set of coisotropic invariant tori of the Hamiltonian system under symplectic structure perturbation. Zbl 0935.37019
Parasyuk, I. O.
1
1998
Reduction and coisotropic invariant tori of Hamiltonian systems with non-Poisson commutative symmetries. II. Zbl 0841.58026
Parasyuk, I. O.
2
1994
Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori. Zbl 0813.58023
Parasyuk, I. O.
2
1993
Coisotropic invariant tori of Hamiltonian systems of the quasiclassical theory of motion of a conduction electron. Zbl 0706.58062
Parasyuk, I. O.
3
1990
Qualitative analysis of families of bounded solutions of the nonlinear three-dimensional Schrödinger equation. Zbl 0727.35127
Parasyuk, I. O.; Fushchich, V. I.
1
1990
Conservation of multidimensional invariant tori of Hamiltonian systems. Zbl 0561.58017
Parasyuk, I. O.
8
1984
On preservation of invariant tori of Hamiltonian systems. Zbl 0587.58019
Parasyuk, I. O.
8
1984
Non-Poissonian commutative symmetries and multidimensional invariant tori of Hamiltonian systems. Zbl 0616.58018
Parasyuk, I. O.
1
1984
Conservation of quasi-periodic motions of reversible multifrequency systems. Zbl 0502.34026
Parasyuk, I. O.
18
1982
Zones of instability of the Schrödinger equation with a smooth quasiperiodic potential. Zbl 0435.34042
Parasyuk, I. O.
3
1978
On the one-dimensional Schrödinger equation with almost periodic potential. Zbl 0395.35083
Parasyuk, I. O.
1
1978
On Galerkin’s method in the perturbation theory of invariant tori. Zbl 0358.34040
Samojlenko, A. M.; Parasyuk, I. O.
1
1977

Citations by Year