Zobrazeno 1 - 10
of 11
pro vyhledávání: '"A. K. Prykarpats'kyi"'
Autor:
A. K. Prykarpats’kyi
Publikováno v:
Ukrainian Mathematical Journal. 68:746-755
The Calogero-type matrix discretization scheme is applied to the construction of Lax-type integrable discretizations of one sufficiently wide class of nonlinear integrable dynamical systems on functional manifolds. Their Lie-algebraic structure and c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adbe4e228d17b0185e83b74f11aa9fbb
https://doi.org/10.1007/s11253-016-1255-9
https://doi.org/10.1007/s11253-016-1255-9
Publikováno v:
Cybernetics and Systems Analysis. 47:210-227
A competitive market model with a polyvariant profit function is investigated as applied to the competing banking portfolio medium under conditions of "zeitnot" stock behavior of clients with a view to devising optimal strategies. The method of assoc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3b7d6f4f8c31747cc76f9451cd30233
https://doi.org/10.1007/s10559-011-9304-8
https://doi.org/10.1007/s10559-011-9304-8
Publikováno v:
Nonlinear Oscillations. 12:510-521
We develop a Calogero-type projection-algebraic method of discrete approximations for linear differential equations in Banach spaces and analyze the convergence of finite-dimensional approximations based on the functional-analytic approach to discret
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::804f295e948df378f4048d5e49db94ce
https://doi.org/10.1007/s11072-010-0091-3
https://doi.org/10.1007/s11072-010-0091-3
Autor:
A. K. Prykarpats’kyi
Publikováno v:
Ukrainian Mathematical Journal. 60:114-120
A generalization of the classical Leray – Schauder fixed point theorem, based on the infinite-dimensional Borsuk – Ulam type antipode construction, is proposed. A new nonstandard proof of the classical Leray – Schauder fixed point theorem and a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b202a92164f203216cf66f60df7cf3c5
https://doi.org/10.1007/s11253-008-0046-3
https://doi.org/10.1007/s11253-008-0046-3
Autor:
N. N. Bogolyubov, A. K. Prykarpats’kyi
Publikováno v:
Ukrainian Mathematical Journal. 59:361-378
We study the differential-geometric aspects of generalized de Rham-Hodge complexes naturally related to integrable multidimensional differential systems of the M. Gromov type, as well as the geometric structure of the Chern characteristic classes. Sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2724ab08b906581957d165e7f8771ff5
https://doi.org/10.1007/s11253-007-0023-2
https://doi.org/10.1007/s11253-007-0023-2
Publikováno v:
Nonlinear Oscillations. 10:32-45
We show that the Bogolyubov generating functional method is a very efficient tool for studying distribution functions of both equilibrium and nonequilibrium states of classical many-particle dynamical systems. In some cases, the Bogolyubov generating
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a221b8d96366c48a9475d25643a13bf4
https://doi.org/10.1007/s11072-007-0004-2
https://doi.org/10.1007/s11072-007-0004-2
Autor:
A. K. Prykarpats’kyi, O. E. Hentosh
Publikováno v:
Ukrainian Mathematical Journal. 56:1117-1126
A Hamiltonian representation for a hierarchy of Lax-type equations on a dual space to the Lie algebra of integro-differential operators with matrix coefficients extended by evolutions for eigenfunctions and adjoint eigenfunctions of the corresponding
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30d8fa647f8f00e909c9a78746844645
https://doi.org/10.1007/s11253-005-0121-y
https://doi.org/10.1007/s11253-005-0121-y
Autor:
A. K. Prykarpats’kyi, V. H. Samoilenko
Publikováno v:
Ukrainian Mathematical Journal. 56:336-341
For Hermitian adjoint differential operators, we consider the structure of Darboux–Backlund-type transformations in the class of parametrically dependent Hilbert spaces. By using the proposed new method, we obtain the corresponding integro-differen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9289369717b8641d5b56b45d0371c4b8
https://doi.org/10.1023/b:ukma.0000036107.23520.fc
https://doi.org/10.1023/b:ukma.0000036107.23520.fc
Publikováno v:
Ukrainian Mathematical Journal. 55:82-92
We analyze the geometric structure of the Lyapunov–Schmidt approach to studying critical manifolds of weakly perturbed Lagrangian and Hamiltonian systems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3117aca64bdc89927ebad1d23d26a3a4
https://doi.org/10.1023/a:1025072619144
https://doi.org/10.1023/a:1025072619144
Publikováno v:
Ukrainian Mathematical Journal. 55:282-292
We study the problem of the complete integrability of nonlinear oscillatory dynamical systems connected, in particular, both with the Cartan decomposition of a Lie algebra \(G = K \oplus P{\text{, where }}K\) is the Lie algebra of a fixed subgroup \(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfd83dfb2181fb553a601b6ba4a6d15b
https://doi.org/10.1023/a:1025416429429
https://doi.org/10.1023/a:1025416429429