Zobrazeno 1 - 5
of 5
pro vyhledávání: '"R. I. Andrushkiw"'
Autor:
Mykola Prytula, Yu. O. Mitropolsky, Anatoliy K. Prykarpatsky, R. I. Andrushkiw, V. Hr. Samoilenko
Publikováno v:
Journal of Mathematical Physics. 35:1763-1777
The algebraic structure of the gradient‐holonomic algorithm for Lax integrable dynamical systems is discussed. A generalization of the R‐structure approach for the case of operator‐valued affine Lie algebras is used to prove the bi‐Hamiltonia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b737ab62a43740ec72ab366e489ef4d
https://doi.org/10.1063/1.530569
https://doi.org/10.1063/1.530569
Publikováno v:
Journal of Mathematical Physics. 35:1532-1548
The procedure of geometric quantization is developed for completely integrable dynamical systems on manifolds with exact symplectic structure. These results are applied to Neumann’s nonharmonic oscillatory system on two‐dimensional sphere S2.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b72c4e4d613de013a02aebebaaa4af4
https://doi.org/10.1063/1.530605
https://doi.org/10.1063/1.530605
Autor:
R. I. Andrushkiw
Publikováno v:
Numerical Functional Analysis and Optimization. 6:197-212
A method is presented for generating a sequence of lower and upper bounds for the eigenvalues of the problem (i) Tu-λSu = 0, where T and S belong to a class of unbounded and nonsymmetric operators in a separable Hilbert space. Sufficient conditions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6cb59de6dbe1df55b464617ec2473ef
https://doi.org/10.1080/01630568308816161
https://doi.org/10.1080/01630568308816161
Autor:
T. K. Lakshmanan, R. I. Andrushkiw
Publikováno v:
Review of Scientific Instruments. 34:433-435
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4efe0168ee40a686ead8b4c725e89670
https://doi.org/10.1063/1.1718392
https://doi.org/10.1063/1.1718392
Publikováno v:
Scopus-Elsevier
The generalized theory of the R‐structure on affine operator Lie algebras is used to construct a complete theory of Lax integrable nonlinear dynamical systems in multidimensions. The operator bi‐Hamiltonian structures and their functional reducti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20b73bfdb6f930dc2e34fcca6ebd1a6a
http://www.scopus.com/inward/record.url?eid=2-s2.0-21344480280&partnerID=MN8TOARS
http://www.scopus.com/inward/record.url?eid=2-s2.0-21344480280&partnerID=MN8TOARS
