Zobrazeno 1 - 10
of 36
pro vyhledávání: '"M.I. Kopach"'
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 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 296-302 (2018)
When we solve practical problems that arise, for example, in mathematical economics, in the theory of Markov processes, it is often necessary to use the decomposition of operator equations using methods of iterative aggregation. In the studies of the
Externí odkaz:
https://doaj.org/article/92a4f63233dc4c59a0e5cf4228c50b2d
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:
Journal of Vasyl Stefanyk Precarpathian National University, Vol 2, Iss 4, Pp 50-57 (2015)
The sufficient conditions of convergence for a class of multi-parameter iterativeaggregation methods are established. These conditions do not contain the requirements ofpositivity for the operators and aggregating functionals. Moreover, it is not nec
Externí odkaz:
https://doaj.org/article/e298c03c47844ca2815eaf8d0b8deb65
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 7, Iss 1, Pp 78-82 (2015)
The theorems on solutions and their two-sided estimates for one class of nonlinear operator equations $x=Fx$ with nonmonotone operators.
Externí odkaz:
https://doaj.org/article/380d9a6096d14cfa851ec9a4fdbbc761
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 5, Iss 1, Pp 156-163 (2013)
Aggregation-iterative algorithms for linear operator equations are constructed and investigated. These algorithms cover methods of iterative aggregation and projection-iterative methods. In convergence conditions there is neither requirement for the
Externí odkaz:
https://doaj.org/article/facd917e56594a179212d8e246687df3
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