Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Ya.O. Baranetskij"'
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
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
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
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
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
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
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 10, Iss 1, Pp 14-30 (2018)
We study a problem with periodic boundary conditions for a $2n$-order differential equation whose coefficients are non-self-adjoint operators. It is established that the operator of the problem has two invariant subspaces generated by the involution
Externí odkaz:
https://doaj.org/article/ce4d97917bea4af79ddd2a18a0294608
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 9, Iss 2, Pp 109-119 (2018)
In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated. By analogy of separation of var
Externí odkaz:
https://doaj.org/article/8dfcafe5ae9b467aa3570bfd98e8b52f
Publikováno v:
Carpathian Mathematical Publications. 13:587-591
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://explore.openaire.eu/search/publication?articleId=doi_________::d458ce8d8f71f5ec8ac1403d1310cc81
https://doi.org/10.15330/cmp.13.3.587-591
https://doi.org/10.15330/cmp.13.3.587-591
Autor:
P. I. Kalenyuk, Ya.O. Baranetskij
Publikováno v:
Journal of Mathematical Sciences. 256:375-397
For a partial differential equation of order 2n with constant coefficients in the domain G := {x = (x1,…, xm) : 0 < xj < 1 < ∞, j = 1,…, m, m ϵ ℕ} , we study the problem with conditions that are multipoint perturbations of the Dirichlet boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e32534b686d0a58b1cdcd67da01d99e
https://doi.org/10.1007/s10958-021-05433-z
https://doi.org/10.1007/s10958-021-05433-z