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pro vyhledávání: '"V. S. Il'kiv"'
Autor:
V. S. Il'kiv
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 1, Iss 1, Pp 47-58 (2012)
We consider the problem with nonlocal multi-point boundary conditions for high order in time strictly hyperbolic equation with variable coe±cients in Cartesian product of the time interval and the spatial multidimensional torus. We establish the sol
Externí odkaz:
https://doaj.org/article/ea198aa2ef14483fb17599cf289a0454
Autor:
V. S. Il'kiv
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 1, Iss 1, Pp 47-58 (2009)
We consider the problem with nonlocal multi-point boundary conditions for high order in time strictly hyperbolic equation with variable coe±cients in Cartesian product of the time interval and the spatial multidimensional torus. We establish the sol
Externí odkaz:
https://doaj.org/article/17d2744f967f4e4a8db03127f7f159b9
Publikováno v:
Ukrainian Mathematical Journal. 72:515-535
We study the solvability of the nonlocal boundary-value problem for a differential equation with weak nonlinearity. By using the Nash–Mozer iterative scheme, we establish the solvability conditions for the posed problem in the Hilbert H¨ormander s
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 72:452-466
УДК 517.946+511.37 Розглянуто нелокальну крайову задачу для диференціального рівняння зі слабкою нелінійністю. За допомогою ітераційної схем
Autor:
N. I. Strap, V. S. Il’kiv
Publikováno v:
Journal of Mathematical Sciences. 231:572-585
We study the nonlocal boundary-value problem for a differential-operator equation with nonlinear right-hand side and an operator B = (B1,…B p ), where its components B j ≡ z j ∂/∂z j , j = 1,…,p, are the operators of generalized differentia
Autor:
V. S. Il’kiv, Z. M. Nytrebych
Publikováno v:
Journal of Mathematical Sciences. 217:166-175
We establish the upper estimate of the measure of level set for the functions obtained as solutions of inhomogeneous ordinary differential equations with constant coefficients and right-hand sides without zeros in a certain interval. These estimates
Autor:
N. I. Strap, V. S. Il’kiv
Publikováno v:
Ukrainian Mathematical Journal. 67:690-710
We study the solvability of the nonlocal boundary-value problem with one parameter for a system of differential-operator equations in the Sobolev scale of spaces of functions of many complex variables and in the scale of Hormander spaces which form a
Autor:
N. I. Strap, V. S. Il'kiv
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 6, Iss 2, Pp 242-255 (2014)
The paper is devoted to investigation of non-local boundary problem for a system of partial differential equations with the operator $B=(B_1,\ldots,B_p)$, where $B_j\equiv z_j\frac{\partial}{\partial z_j}$, $j=1,\ldots,p$, are operators of the genera
Autor:
V. S. Il'kiv, I. I. Volyans'ka
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 6, Iss 1, Pp 44-58 (2014)
Досліджено нелокальну крайову задачу для рівняння з частинними похідними з оператором узагальненого диференціювання $B=z\frac{\partial}{\partial z}
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 5, Iss 2, Pp 249-255 (2013)
The conditions of existence and uniqueness of Sobolev periodic solution for linear partial differential equation with constant complex coefficients, which depends on one real parameter, are established. It is shown that these conditions fulfill for a