Výsledky vyhledávání - "A.V. Solomko"

Akademický článek

Inverse problems of determining an unknown depending on time coefficient for a parabolic equation with involution and periodicity conditions

Autor: Ya.O. Baranetskij, I.I. Demkiv, A.V. Solomko

Publikováno v: Karpatsʹkì Matematičnì Publìkacìï, Vol 15, Iss 1, Pp 5-19 (2023)

The solution of the investigated problem with an unknown coefficient in the equation was constructed by using the method of separation of variables. The properties of the induced spectral problem for the second-order differential equation with involu

Externí odkaz: https://doaj.org/article/7319c56aa88b4bbb980994f40eadf2c6

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Akademický článek

Interpolational $(L,M)$-rational integral fraction on a continual set of nodes

Autor: Ya.O. Baranetskij, I.I. Demkiv, M.I. Kopach, A.V. Solomko

Publikováno v: Karpatsʹkì Matematičnì Publìkacìï, Vol 13, Iss 3, Pp 587-591 (2021)

In the paper, an integral rational interpolant on a continual set of nodes, which is the ratio of a functional polynomial of degree $L$ to a functional polynomial of degree $M$, is constructed and investigated. The resulting interpolant is one that p

Externí odkaz: https://doaj.org/article/707157cb332c42418bb532602666f46b

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Akademický článek

Nonlocal multipoint problem for a differential equation of $2n$-th order with operator coefficients

Autor: Ya.O. Baranetskij, I.I. Demkiv, A.V. Solomko, O.M. Sus'

Publikováno v: Karpatsʹkì Matematičnì Publìkacìï, Vol 13, Iss 2, Pp 501-514 (2021)

In the article, the spectral properties of a multipoint problem for a differential operator equation of order $2n$ are studied. The operator of the problem has an infinite number of multiple eigenvalues. Each multiple eigenvalue corresponds to a fini

Externí odkaz: https://doaj.org/article/1e952075d0254c2cb32affac377cdc95

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Akademický článek

The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. II

Autor: Ya.O. Baranetskij, P.I. Kalenyuk, M.I. Kopach, A.V. Solomko

Publikováno v: Karpatsʹkì Matematičnì Publìkacìï, Vol 12, Iss 1, Pp 173-188 (2020)

In this paper we continue to investigate the properties of the problem with nonlocal conditions, which are multipoint perturbations of mixed boundary conditions, started in the first part. In particular, we construct a generalized transform operator,

Externí odkaz: https://doaj.org/article/b1990755f6f54a248083d7ca5a0fdef9

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Akademický článek

The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. I

Autor: Ya.O. Baranetskij, P.I. Kalenyuk, M.I. Kopach, A.V. Solomko

Publikováno v: Karpatsʹkì Matematičnì Publìkacìï, Vol 11, Iss 2, Pp 228-239 (2019)

In this article we investigate a problem with nonlocal boundary conditions which are multipoint perturbations of mixed boundary conditions in the unit square $G$ using the Fourier method. The properties of a generalized transformation operator $R: L_

Externí odkaz: https://doaj.org/article/be329c35415d4a9e9b49ced92ab1817f

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Akademický článek

The nonlocal boundary problem with perturbations of antiperiodicity conditions for the eliptic equation with constant coefficients

Autor: Ya.O. Baranetskij, I.Ya. Ivasiuk, P.I. Kalenyuk, A.V. Solomko

Publikováno v: Karpatsʹkì Matematičnì Publìkacìï, Vol 10, Iss 2, Pp 215-234 (2018)

In this article, we investigate a problem with nonlocal boundary conditions which are perturbations of antiperiodical conditions in bounded $m$-dimensional parallelepiped using Fourier method. We describe properties of a transformation operator $R:L_

Externí odkaz: https://doaj.org/article/c2d3a0a5ab184a2db3a1a5f4fbe0d450

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Interpolational $(L,M)$-rational integral fraction on a continual set of nodes

Autor: A.V. Solomko, I. I. Demkiv, Ya.O. Baranetskij, M.I. Kopach

Publikováno v: Carpathian Mathematical Publications. 13:587-591

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d458ce8d8f71f5ec8ac1403d1310cc81
https://doi.org/10.15330/cmp.13.3.587-591

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The nonlocal problem with multi- point perturbations of the boundary conditions of the Sturm-type for an ordinary differential equation with involution of even order

Autor: Ya.O. Baranetskij, M.I. Kopach, P. I. Kalenyuk, A.V. Solomko

Publikováno v: Matematychni Studii. 54:64-78

The spectral properties of the nonself-adjoint problem with multipoint perturbations of the Dirichlet conditions for differential operator of order $2n$ with involution are investigated. The system of eigenfunctions of a multipoint problem is constru

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d23a1e99c48c812d2fa86589c1099bed
https://doi.org/10.30970/ms.54.1.64-78

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The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. II

Autor: A.V. Solomko, M.I. Kopach, Ya.O. Baranetskij, P. I. Kalenyuk

Publikováno v: Carpathian Mathematical Publications. 12:173-188

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2c4f128d6768b19cb039e7801b106d3c
https://doi.org/10.15330/cmp.12.1.173-188

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