Zobrazeno 1 - 10
of 56
pro vyhledávání: '"O. O. Pokutnyi"'
Autor:
O. Z. Iskra, O. O. Pokutnyi
Publikováno v:
Journal of Mathematical Sciences. 272:228-235
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f10395b259a346703646da669898f83c
https://doi.org/10.1007/s10958-023-06412-2
https://doi.org/10.1007/s10958-023-06412-2
Publikováno v:
Journal of Mathematical Sciences. 261:195-227
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e6d9dab928e0168f01b32d153d04285
https://doi.org/10.1007/s10958-022-05747-6
https://doi.org/10.1007/s10958-022-05747-6
Publikováno v:
Ukrainian Mathematical Journal. 73:1009-1022
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41def5f1c094f21093cf7361a33d9e51
https://doi.org/10.1007/s11253-021-01973-4
https://doi.org/10.1007/s11253-021-01973-4
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 73:867-878
UDC 517.9 We investigate boundary value problems for the Lyapunov equation in the Hilbert space in the case where the corresponding problem is defined on an interval that depends on a parameter $\varepsilon$. We obtain necessary and sufficient condit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf4ca54c60f3e0ca7506c50b9c938f3c
https://doi.org/10.37863/umzh.v73i7.6691
https://doi.org/10.37863/umzh.v73i7.6691
Autor:
D. Bihun, O. O. Pokutnyi
Publikováno v:
Journal of Mathematical Sciences. 254:179-200
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::233f6842e7e8a1bd9cf68877b60e0adc
https://doi.org/10.1007/s10958-021-05297-3
https://doi.org/10.1007/s10958-021-05297-3
Autor:
O. O. Pokutnyi
Publikováno v:
Journal of Mathematical Sciences. 249:647-660
We study boundary-value problem for the evolutionary Schrodinger equation and present a survey of the works in this field.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6160aeff1619d4c093f01135624d344b
https://doi.org/10.1007/s10958-020-04963-2
https://doi.org/10.1007/s10958-020-04963-2
Autor:
O. O. Pokutnyi, E. V. Panasenko
Publikováno v:
Journal of Mathematical Sciences. 246:394-409
We study boundary-value problems for a Lyapunov-type equation in the space Lp.(I, ℒ(ℋ)): Necessary and sufficient conditions for the solvability of the corresponding boundary-value problem are established both in linear and nonlinear cases. The s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64dfdd541e93f7126f991bd7970396ed
https://doi.org/10.1007/s10958-020-04747-8
https://doi.org/10.1007/s10958-020-04747-8
Autor:
O. O. Pokutnyi, O. A. Boichuk
Publikováno v:
Ukrainian Mathematical Journal. 71:869-882
We study bounded solutions of a nonlinear Lyapunov-type problem in Banach and Hilbert spaces. Necessary and sufficient conditions for the existence of bounded solutions on the entire axis are obtained under the assumption that the homogeneous equatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e8ad30f189a79141ffc521cee91ef2e
https://doi.org/10.1007/s11253-019-01685-w
https://doi.org/10.1007/s11253-019-01685-w
Autor:
O. O. Pokutnyi, E. V. Panasenko
Publikováno v:
Journal of Mathematical Sciences. 236:313-332
We establish sufficient conditions for the bifurcation of solutions of the boundary-value problems for the Lyapunov equation in Hilbert spaces. The cases where the generating equation has or does not have solutions are analyzed. As an example, we con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30137d2995fea42bd161ca401fe0ae32
https://doi.org/10.1007/s10958-018-4113-5
https://doi.org/10.1007/s10958-018-4113-5
Publikováno v:
Ukrainian Mathematical Journal. 70:5-29
We study the problems of existence and representations of the solutions bounded on the entire axis for both linear and nonlinear differential equations with unbounded operator coefficients in the Frechet and Banach spaces under the condition of expon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d431f3a42baba1bc7ead915ba22008b
https://doi.org/10.1007/s11253-018-1485-0
https://doi.org/10.1007/s11253-018-1485-0