Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Alexander A. Boichuk"'
Publikováno v:
Abstract and Applied Analysis, Vol 2003, Iss 15, Pp 843-864 (2003)
Externí odkaz:
https://doaj.org/article/74cdfd8d17864090b5025b99a780cf1e
Publikováno v:
Ukrainian Mathematical Journal. 72:1695-1714
With the use of the theory of generalized inversion of operators and integral operators, we obtain a criterion of solvability and determine the general form of solutions of a linear boundary-value problem for the integrodifferential equation with deg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b34dfdf183bce5da6d42da03949142bf
https://doi.org/10.1007/s11253-021-01881-7
https://doi.org/10.1007/s11253-021-01881-7
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 72:1469-1486
УДК 517.983 Із використанням теорії узагальненого обернення операторів і узагальненого обернення інтегральних операторів отримано крите
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b19d33e304b15b0a915654e96319d9a
https://doi.org/10.37863/umzh.v72i11.2322
https://doi.org/10.37863/umzh.v72i11.2322
Publikováno v:
Ukrainian Mathematical Journal. 72:880-899
We establish existence conditions and construct bounded solutions of a system of linear inhomogeneous differential equations of the first order with rectangular matrices.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::123814bf75ecf4bf72d5ddd144a7eb1a
https://doi.org/10.1007/s11253-020-01830-w
https://doi.org/10.1007/s11253-020-01830-w
Publikováno v:
Ukrainian Mathematical Journal. 72:386-402
We establish constructive conditions for the solvability of a linear Noetherian boundary-value problem for a matrix difference equation and propose a procedure of construction of its solutions. We suggest an original scheme of regularization of a lin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f3cb0f4d1c7917ab2639748d2c1eda3
https://doi.org/10.1007/s11253-020-01789-8
https://doi.org/10.1007/s11253-020-01789-8
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 72:758-775
UDC 517.926.7 Conditions for existence are determined and bounded solutions of a system of linear inhomogeneous differential equations of the first order with rectangular matrices are constructed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d0c8f74f2f9bfa275097acc846b0b11
https://doi.org/10.37863/umzh.v72i6.1059
https://doi.org/10.37863/umzh.v72i6.1059
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 72:340-354
UDC 517.9 We establish constructive conditions for the solvability and propose a scheme for constructing solutions of a linear Noetherian boundary-value problem for a matrix difference equation. We suggest an original scheme of regularization of a li
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5c07b523da14bf3852b25576a778e2a
https://doi.org/10.37863/umzh.v72i3.637
https://doi.org/10.37863/umzh.v72i3.637
Publikováno v:
Differential Equations. 53:855-863
We obtain solvability conditions and a representation of solutions for a boundary value problem for a linear nonstationary Schrodinger equation in a Hilbert space as well as sufficient conditions for the bifurcation of solutions of this equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84e25250e5b245cb91b61af91fd13fb7
https://doi.org/10.1134/s0012266117070023
https://doi.org/10.1134/s0012266117070023
Publikováno v:
Ukrainian Mathematical Journal. 67:1327-1335
The perturbation theory is constructed in the Frechet and Hilbert spaces. An iterative process is proposed for finding branching solutions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22efe34f8228ff6d59f5ed2a65ac648a
https://doi.org/10.1007/s11253-016-1156-y
https://doi.org/10.1007/s11253-016-1156-y
Publikováno v:
Ukrainian Mathematical Journal. 66:1781-1792
We establish necessary and sufficient conditions for the existence of bounded solutions of linear differential equations in the Frechet space. The solutions are constructed with the use of a strong generalized inverse operator.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::705fe918f4aa11c689551e0ee949bc11
https://doi.org/10.1007/s11253-015-1051-y
https://doi.org/10.1007/s11253-015-1051-y