Zobrazeno 1 - 10
of 13
pro vyhledávání: '"O. M. Stanzhyts'kyi"'
Publikováno v:
Ukrainian Mathematical Journal. 70:232-242
We study the application of the method of averaging to the problems of optimal control over functional differential equations. The procedure of averaging allows one to replace the original problem by the problem of optimal control over a system of or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::698566f857e8c6a25fd9949187ebf4ea
https://doi.org/10.1007/s11253-018-1497-9
https://doi.org/10.1007/s11253-018-1497-9
Publikováno v:
Ukrainian Mathematical Journal. 69:1085-1106
We introduce a concept of viscous solution of the Bellman equation on time scales and establish conditions for the existence and uniqueness of this solution.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00e68315e46b603f479978e91ec93d45
https://doi.org/10.1007/s11253-017-1417-4
https://doi.org/10.1007/s11253-017-1417-4
Publikováno v:
Ukrainian Mathematical Journal. 65:249-259
We establish conditions required for the oscillation behavior of solutions of linear functional-difference equations and discrete linear difference equations of the second order in the case where the corresponding solutions of their differential anal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c6c691198221e4a46e5acba45c5e703
https://doi.org/10.1007/s11253-013-0775-9
https://doi.org/10.1007/s11253-013-0775-9
Publikováno v:
Ukrainian Mathematical Journal. 63:1268-1297
For a weakly nonlinear stochastic system, we construct a system of ordinary differential equations the behavior of solutions of which at infinity is similar to the behavior of solutions of the original stochastic system.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52044c45feaddb72f6a7d640b40187b0
https://doi.org/10.1007/s11253-012-0577-5
https://doi.org/10.1007/s11253-012-0577-5
Autor:
O. M. Stanzhyts’kyi, T. V. Nosenko
Publikováno v:
Nonlinear Oscillations. 11:539-547
We substantiate the application of the averaging method to the optimal-control problem for systems of differential equations in the standard Bogolyubov form. An ϵ-optimal control is constructed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ae025604f0496902d90d0b6577765f4
https://doi.org/10.1007/s11072-009-0049-5
https://doi.org/10.1007/s11072-009-0049-5
Autor:
O. M. Stanzhyts’kyi, N. V. Horban
Publikováno v:
Ukrainian Mathematical Journal. 60:299-309
We investigate the dynamics of solutions of an autonomous wave equation in ℝn with continuous nonlinearity. A priori estimates are obtained. We substantiate the existence of an invariant global attractor for an m-semiflow.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fea975be04cc6d7ee77af5e317feabae
https://doi.org/10.1007/s11253-008-0059-y
https://doi.org/10.1007/s11253-008-0059-y
Autor:
O. O. Misyats, O. M. Stanzhyts’kyi
Publikováno v:
Ukrainian Mathematical Journal. 59:577-587
We present sufficient conditions for the asymptotic equivalence of a nonlinear impulsive system and a nonlinear system without pulses. We also consider the case of the asymptotic equivalence of a weakly nonlinear impulsive system and a linear system
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2ad65adb970ff57d83aaf3f6dde3c0d6
https://doi.org/10.1007/s11253-007-0037-9
https://doi.org/10.1007/s11253-007-0037-9
Autor:
O. M. Stanzhyts’kyi, A. M. Tkachuk
Publikováno v:
Ukrainian Mathematical Journal. 58:1415-1424
We establish conditions under which the existence of a bounded solution of a difference equation yields the existence of a bounded solution of the corresponding differential equation. We investigate the relationship between the dissipativities of dif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3368078c8c460065486ff0e1b3e3e197
https://doi.org/10.1007/s11253-006-0140-3
https://doi.org/10.1007/s11253-006-0140-3
Autor:
A. P. Krenevych, O. M. Stanzhyts’kyi
Publikováno v:
Ukrainian Mathematical Journal. 58:619-629
We study conditions for the mean-square exponential dichotomy of linear Ito stochastic systems. We prove that a sufficient condition for exponential dichotomy is the existence of a quadratic form whose derivative along the solutions of a system is ne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbf730c4ee575e040f9a06d5dc17a99d
https://doi.org/10.1007/s11253-006-0087-4
https://doi.org/10.1007/s11253-006-0087-4
Autor:
A. M. Tkachuk, O. M. Stanzhyts'kyi
Publikováno v:
Ukrainian Mathematical Journal. 57:1167-1176
We establish conditions under which the existence of a periodic solution of a differential equation is preserved if a solution of the corresponding difference equation possesses the same property. We prove the convergence of periodic solutions of a s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c149cbf626c66c6c5439c6c460c8a65
https://doi.org/10.1007/s11253-005-0253-0
https://doi.org/10.1007/s11253-005-0253-0