Edit Profile Parasyuk, Igor O. Compute Distance To: Compute Author ID: parasyuk.igor-o Published as: Parasyuk, I.; Parasyuk, I. O.; Parasyuk, Igor; Parasyuk, Igor O. External Links: MGP · Wikidata · ORCID Documents Indexed: 75 Publications since 1973, including 1 Book all top 5 Co-Authors 32 single-authored 10 Samoĭlenko, Anatoliĭ Mykhaĭlovych 4 Perestyuk, Mykola Oleksiĭovych 4 Zakharin, Sergei F. 3 Lovejkin, Yu. V. 3 Lukovsky, Ivan Oleksandrovych 3 Makarov, Volodymyr Leonidovich 3 Pozur, Sergij V. 3 Sharkovskiĭ, Oleksandr Mykolaiovych 2 Antonishin, I. O. 2 Berezans’kyĭ, Yuriĭ Makarovych 2 Boĭchuk, Oleksandr Andriĭovych 2 Denysenko, Oleksandr M. 2 Fushchych, Vil’gel’m Illich 2 Korolyuk, Volodymyr Semenovych 2 Kubichka, Andrij A. 2 Lahoda, V. A. 2 Nikitin, A. H. 2 Protsak, L. V. 2 Repeta, B. V. 2 Rustamova, Anna 2 Stanzhyts’ky, O. M. 2 Tkachenko, Victor Ivanovich 2 Vakal, Yu. E. 1 Antonyuk, Oleksandra Viktorivna 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 Kirichenko, Vladimir V. 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kozachenko, Yuriĭ Vasyl’ovych 1 Kulinich, Grygoriĭ L. 1 Kushnir, Roman M. 1 Lagoda, Volodymyr 1 Loveikin, Yu. V. 1 Marchenko, V. O. 1 Medveď, Milan 1 Meleshko, V’yacheslav Volodymyrovych 1 Nagornyj, Volodymyr N. 1 Pastur, Leonid Andreevich 1 Plakhotnyk, V. V. 1 Portenko, Mykola Ivanovych 1 Protsak, Lyudmyla 1 Repeta, Bogdan 1 Romanchenko, I. A. 1 Ronto, M. I. 1 Rozov, Nikolaĭ Khristovich 1 Samoĭlenko, Valeriĭ Grygorovych 1 Shevchuk, I. O. 1 Teplinsky, Yuriy V. 1 Trofimchuk, Sergei I. 1 Vyshenskij, V. A. 1 Zakhavin, S. V. 1 Zhuravlëv, Viktor Filippovich all top 5 Serials 16 Ukrainian Mathematical Journal 15 Ukraïns’kyĭ Matematychnyĭ Zhurnal 7 Visnyk. Matematyka. Mekhanika. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 5 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 4 Neliniĭni Kolyvannya 3 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 3 Journal of Mathematical Sciences (New York) 3 Electronic Journal of Differential Equations (EJDE) 3 Nonlinear Oscillations 2 Dopovidi Akademiï Nauk Ukraïni 1 Funkcialaj Ekvacioj. Serio Internacia 1 Mathematical Inequalities & Applications 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka all top 5 Fields 40 Ordinary differential equations (34-XX) 33 Dynamical systems and ergodic theory (37-XX) 14 Mechanics of particles and systems (70-XX) 7 Partial differential equations (35-XX) 7 Integral equations (45-XX) 4 History and biography (01-XX) 3 Differential geometry (53-XX) 2 Operator theory (47-XX) 2 Optics, electromagnetic theory (78-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 26 Publications have been cited 81 times in 64 Documents Cited by ▼ Year ▼ Conservation of quasi-periodic motions of reversible multifrequency systems. Zbl 0502.34026Parasyuk, I. O. 16 1982 Differential equations. 2nd revised ed. Zbl 1330.34005Samoilenko, A. M.; Perestyuk, M. O.; Parasyuk, I. O. 10 2003 Generalized and classical almost periodic solutions of Lagrangian systems. Zbl 1141.37350Zakharin, Sergei F.; Parasyuk, Igor O. 8 1999 On preservation of invariant tori of Hamiltonian systems. Zbl 0587.58019Parasyuk, I. O. 7 1984 Conservation of multidimensional invariant tori of Hamiltonian systems. Zbl 0561.58017Parasyuk, I. O. 5 1984 Variational approach for weak quasiperiodic solutions of quasiperiodically excited Lagrangian systems on Riemannian manifolds. Zbl 1260.37030Parasyuk, 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 0995.37047Kubichka, A. A.; Parasyuk, I. O. 3 2001 On smoothness of generalized quasiperiodic solutions of Lagrangian systems on Riemannian manifolds of nonpositive curvature. Zbl 1006.37036Zakharin, S. F.; Parasyuk, I. O. 3 1999 Coisotropic invariant tori of Hamiltonian systems of the quasiclassical theory of motion of a conduction electron. Zbl 0706.58062Parasyuk, I. O. 3 1990 Zones of instability of the Schrödinger equation with a smooth quasiperiodic potential. Zbl 0435.34042Parasyuk, I. O. 3 1978 Dynamical bifurcation of multifrequency oscillations in a fast-slow system. Zbl 1376.34045Samoilenko, A. M.; Parasyuk, I. O.; Repeta, B. V. 2 2015 Integral representation of solutions to boundary-value problems on the half-line for linear ODEs with singularity of the first kind. Zbl 1172.34016Horishna, Yulia; Parasyuk, Igor; Protsak, Lyudmyla 2 2008 Reduction and coisotropic invariant tori of Hamiltonian systems with non-Poisson commutative symmetries. II. Zbl 0841.58026Parasyuk, I. O. 2 1994 Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori. Zbl 0813.58023Parasyuk, I. O. 2 1993 Hyperbolic quasiperiodic solutions of U-monotone systems on Riemannian manifolds. Zbl 1428.34063Parasyuk, Igor O. 1 2019 Quasiperiodic extremals of nonautonomous Lagrangian systems on Riemannian manifolds. Zbl 1376.37109Parasyuk, I. O. 1 2015 Lipschitz invariant tori of indefinite-monotone systems. Zbl 1267.37063Samoilenko, 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 1336.37051Vakal, Yu. E.; Parasyuk, I. O. 1 2011 Existence of \(V\)-bounded solutions for non-autonomous nonlinear systems via the Ważewski topological principle. Zbl 1289.34104Lagoda, Volodymyr; Parasyuk, Igor 1 2010 A theorem on perturbation of coisotropic invariant tori of locally Hamiltonian systems and its application. Zbl 1107.37050Lovejkin, Yu. V.; Parasyuk, I. O. 1 2005 Substantiation of the Galerkin’s procedure for indefinite monotone quasi-periodic systems. Zbl 1034.34052Parasyuk, I. O.; Romanchenko, I. A. 1 2002 Bifurcation of the Cantor set of coisotropic invariant tori of the Hamiltonian system under symplectic structure perturbation. Zbl 0935.37019Parasyuk, I. O. 1 1998 Qualitative analysis of families of bounded solutions of the nonlinear three-dimensional Schrödinger equation. Zbl 0727.35127Parasyuk, I. O.; Fushchich, V. I. 1 1990 Non-Poissonian commutative symmetries and multidimensional invariant tori of Hamiltonian systems. Zbl 0616.58018Parasyuk, I. O. 1 1984 On the one-dimensional Schrödinger equation with almost periodic potential. Zbl 0395.35083Parasyuk, I. O. 1 1978 On Galerkin’s method in the perturbation theory of invariant tori. Zbl 0358.34040Samojlenko, A. M.; Parasyuk, I. O. 1 1977 Hyperbolic quasiperiodic solutions of U-monotone systems on Riemannian manifolds. Zbl 1428.34063Parasyuk, Igor O. 1 2019 Dynamical bifurcation of multifrequency oscillations in a fast-slow system. Zbl 1376.34045Samoilenko, A. M.; Parasyuk, I. O.; Repeta, B. V. 2 2015 Quasiperiodic extremals of nonautonomous Lagrangian systems on Riemannian manifolds. Zbl 1376.37109Parasyuk, I. O. 1 2015 Variational approach for weak quasiperiodic solutions of quasiperiodically excited Lagrangian systems on Riemannian manifolds. Zbl 1260.37030Parasyuk, Igor; Rustamova, Anna 3 2012 Lipschitz invariant tori of indefinite-monotone systems. Zbl 1267.37063Samoilenko, 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 1336.37051Vakal, Yu. E.; Parasyuk, I. O. 1 2011 Existence of \(V\)-bounded solutions for non-autonomous nonlinear systems via the Ważewski topological principle. Zbl 1289.34104Lagoda, 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 1172.34016Horishna, Yulia; Parasyuk, Igor; Protsak, Lyudmyla 2 2008 A theorem on perturbation of coisotropic invariant tori of locally Hamiltonian systems and its application. Zbl 1107.37050Lovejkin, Yu. V.; Parasyuk, I. O. 1 2005 Differential equations. 2nd revised ed. Zbl 1330.34005Samoilenko, A. M.; Perestyuk, M. O.; Parasyuk, I. O. 10 2003 Substantiation of the Galerkin’s procedure for indefinite monotone quasi-periodic systems. Zbl 1034.34052Parasyuk, 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 0995.37047Kubichka, A. A.; Parasyuk, I. O. 3 2001 Generalized and classical almost periodic solutions of Lagrangian systems. Zbl 1141.37350Zakharin, Sergei F.; Parasyuk, Igor O. 8 1999 On smoothness of generalized quasiperiodic solutions of Lagrangian systems on Riemannian manifolds of nonpositive curvature. Zbl 1006.37036Zakharin, S. F.; Parasyuk, I. O. 3 1999 Bifurcation of the Cantor set of coisotropic invariant tori of the Hamiltonian system under symplectic structure perturbation. Zbl 0935.37019Parasyuk, I. O. 1 1998 Reduction and coisotropic invariant tori of Hamiltonian systems with non-Poisson commutative symmetries. II. Zbl 0841.58026Parasyuk, I. O. 2 1994 Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori. Zbl 0813.58023Parasyuk, I. O. 2 1993 Coisotropic invariant tori of Hamiltonian systems of the quasiclassical theory of motion of a conduction electron. Zbl 0706.58062Parasyuk, I. O. 3 1990 Qualitative analysis of families of bounded solutions of the nonlinear three-dimensional Schrödinger equation. Zbl 0727.35127Parasyuk, I. O.; Fushchich, V. I. 1 1990 On preservation of invariant tori of Hamiltonian systems. Zbl 0587.58019Parasyuk, I. O. 7 1984 Conservation of multidimensional invariant tori of Hamiltonian systems. Zbl 0561.58017Parasyuk, I. O. 5 1984 Non-Poissonian commutative symmetries and multidimensional invariant tori of Hamiltonian systems. Zbl 0616.58018Parasyuk, I. O. 1 1984 Conservation of quasi-periodic motions of reversible multifrequency systems. Zbl 0502.34026Parasyuk, I. O. 16 1982 Zones of instability of the Schrödinger equation with a smooth quasiperiodic potential. Zbl 0435.34042Parasyuk, I. O. 3 1978 On the one-dimensional Schrödinger equation with almost periodic potential. Zbl 0395.35083Parasyuk, I. O. 1 1978 On Galerkin’s method in the perturbation theory of invariant tori. Zbl 0358.34040Samojlenko, A. M.; Parasyuk, I. O. 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 61 Authors 13 Parasyuk, Igor O. 8 Sevryuk, Mikhail Borisovich 7 Wang, Xiaocai 7 Xu, Junxiang 6 Zhang, Dongfeng 5 Li, Yong 4 Cong, Fuzhong 3 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Burkotová, Jana 2 Cieutat, Philippe 2 Fassò, Francesco 2 Huang, Qingdao 2 Lahoda, V. A. 2 Rachůnková, Irena 2 Slyusarchuk, Vasyl Yukhimovich 2 Stanzhytskyi, Oleksandr M. 2 Weinmüller, Ewa B. 2 Yi, Yingfei 1 Bajcinca, Naim 1 Bogolyubov, Nikolaĭ Nikolaevich jun. 1 Broer, Henk W. 1 Burylko, O. A. 1 Burylko, Oleksandr 1 Feketa, Petro V. 1 Filippov, M. G. 1 Fushchych, Vil’gel’m Illich 1 Gentile, Guido 1 Giacobbe, Andrea 1 Gladilina, R. I. 1 Grigorkiv, V. S. 1 Han, Yuliang 1 Hong, Jialin 1 Huitema, G. B. 1 Karpenko, O. V. 1 Kravets, Vasyl’ I. 1 Kuang, Juhong 1 Kuzina, Yu. V. 1 Loveikin, Yu. V. 1 Martynyuk, Petro M. 1 Mazzoccoli, Alessandro 1 Mielke, Alexander 1 Misiats, Oleksandr 1 Nakonechny, O. G. 1 Prykarpatsky, Anatoliy Karolevych 1 Quispel, Gilles Reinout Willem 1 Repeta, B. V. 1 Samoĭlenko, Valeriĭ Grygorovych 1 Shen, Wenxian 1 Shevchuk, Iu. M. 1 Staněk, Svatoslav 1 Tkachenko, Victor Ivanovich 1 Vaia, Faenia 1 Vakal, Yu. E. 1 Wolfrum, Matthias 1 Yanchuk, Sergiĭ Volodymyrovych 1 Yang, Xiaomei 1 Yip, Nung Kwan 1 You, Jiangong 1 Zernov, Alexander E. 1 Zhang, Xingyong 1 Zin’ko, Petro M. all top 5 Cited in 31 Serials 14 Ukrainian Mathematical Journal 6 Journal of Mathematical Sciences (New York) 4 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 Acta Applicandae Mathematicae 3 Discrete and Continuous Dynamical Systems 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Dynamics and Differential Equations 2 Chaos 2 Regular and Chaotic Dynamics 2 Qualitative Theory of Dynamical Systems 2 Nonlinear Oscillations 1 Journal of Geometry and Physics 1 Automatica 1 Journal of Soviet Mathematics 1 Transactions of the American Mathematical Society 1 Physica D 1 Applied Numerical Mathematics 1 Journal of Theoretical Probability 1 Cybernetics and Systems Analysis 1 Abstract and Applied Analysis 1 Matematychni Studiï 1 Mathematical Inequalities & Applications 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Advances in Difference Equations 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 17 Fields 38 Dynamical systems and ergodic theory (37-XX) 30 Ordinary differential equations (34-XX) 19 Mechanics of particles and systems (70-XX) 5 Partial differential equations (35-XX) 5 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.