Comparison of heterogeneous and homogenized numerical models of cavitation / Roman Samulyak, Jarema PRYKARPATSKY, Tianshi Lu, James Glimm, Zhiliang Xu, Myoung-Nyoun Kim // International Journal for Multiscale Computational Engineering ; ISSN 1543-1649. — 2006 vol. 4 iss. 3, s. 377–390. — Bibliogr., Abstr.

Kanonìčna redukcìâ na kodotičnih simplektičnih mnogovidah ìz grupovoû dìêû ta na asocìjovanih golovnih rozšaruvannâh ìz zv'âznìstû — [Canonical reduction on cotangent symplectic manifolds with a group action and on associated principal fiber bundles with connection] / J. A. PRYKARPATSKY // Nelìnìjnì Kolivannâ = Nonlinear Oscillations ; ISSN 1562-3076. — 2006 t. 9 no. 1, s. 98–108. — Bibliogr. s. 108

Mel'nikov-Samoilenko adiabatic stability problem / J. A. PRYKARPATSKY // Ukrainian Mathematical Journal ; ISSN 0041-5995. — 2006 vol. 58 no. 6, s. 887–903. — Bibliogr. s. 902–903. — J. A. Prykarpatski - pierwsza afiliacja: Ukrainian Academy of Sciences, Kyiv, Ukraine. — tekst: https://goo.gl/i7oimT

On the geometrical properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications / Y. A. PRYKARPATSKY, A. M. Samoilenko, A. K. PRYKARPATSKY // Dynamics of Continuous, Discrete and Impulsive Systems. Series A, Mathematical ; ISSN 1201-3390. — 2006 vol. 13A S2, s. 145–158. — Differential equations and dynamical systems : proceedings of the international workshop : Guelph, Canada, July 29–31, 2006 / eds. X. Liu, S. X. Yang. — Waterloo : Watam Press, 2006

Simplektičnij metod pobudovi ergodičnih mìr na ìnvarìantnih pìdmnogovidah neavtonomnih gamìl'tonovih sistem: Lagranževì mnogovidi, ïh struktura ta gomologìï Mazera — [Symplectic method of ergodic measures constructions on invariant manifolds of nonautonomous Hamiltonian systems: Lagrangian manifolds, their structure and J. Mather's homology] / J. A. PRYKARPATSKY // Ukraïns'kij Matematičnij Žurnal ; ISSN 1027-3190. — 2006 t. 58 no. 5, s. 675–691. — Bibliogr. s. 690–691

Symplectic method for the construction of ergodic measures on invariant submanifolds of nonautomous Hamiltonian systems : Lagrangian manifolds, their structure, and mather homologies / J. A. PRYKARPATSKY // Ukrainian Mathematical Journal ; ISSN 0041-5995. — 2006 vol. 58 no. 5, s. 763–778. — Bibliogr. s. 778. — tekst: https://goo.gl/W89M5r

The spectral and differential geometric aspects of a generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems / A. M. Samoilenko, J. A. PRYKARPATSKY, A. K. PRYKARPATSKY // Nonlinear Analysis : Theory, Methods & Applications ; ISSN 0362-546X. — 2006 vol. 65 iss. 2, s. 395–432. — Bibliogr. s. 431–432, Abstr.. — tekst: https://goo.gl/6Hyr6K