Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Vladimir Mikhailets"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 81,, Pp 1-13 (2017)
We consider the most general class of linear boundary-value problems for higher-order ordinary differential systems whose solutions and right-hand sides belong to the corresponding Sobolev spaces. For parameter-dependent problems from this class,
Externí odkaz:
https://doaj.org/article/1d91d14df14d4c429537fe170831782c
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 87, Pp 1-16 (2016)
We introduce the most general class of linear boundary-value problems for systems of first-order ordinary differential equations whose solutions belong to the complex Hölder space $C^{n+1,\alpha}$, with $0\leq n\in\mathbb{Z}$ and $0\leq\alpha\leq 1$
Externí odkaz:
https://doaj.org/article/d7f8da71b9744e64bd0d0ee40ad01c84
Publikováno v:
Electronic Journal of Differential Equations, Vol 2013, Iss 101,, Pp 1-16 (2013)
We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval. The technique is then used to describe all maximal dissipative, accu
Externí odkaz:
https://doaj.org/article/2ef8f1ff80844eea8259cef93170d4a9
Publikováno v:
Complex Analysis and Operator Theory. 16
Autor:
Vladimir Mikhailets, Olena Atlasiuk
Publikováno v:
Ukrainian Mathematical Journal. 70:1526-1537
For systems of ordinary differential equations on a compact interval, we study the character of solvability of the most general linear boundary-value problems in Sobolev spaces. We find the indices of these problems and obtain a criterion of their we
Publikováno v:
Complex Analysis and Operator Theory. 13:1431-1440
We investigate properties of function spaces induced by the inner product Sobolev spaces $H^{s}(\Omega)$ over a bounded Euclidean domain $\Omega$ and by an elliptic differential operator $A$ on $\overline{\Omega}$. The domain and the coefficients of
Publikováno v:
Ukrainian Mathematical Journal. 70:243-251
We study the uniform limit with respect to a parameter for the solutions of a sequence of general boundaryvalue problems for systems of linear ordinary differential equations of any order on a finite interval. An essential generalization of the Kigur
Publikováno v:
Reports of the National Academy of Sciences of Ukraine. :8-13
Publikováno v:
Reports of the National Academy of Sciences of Ukraine. :3-10
Publikováno v:
Communications on Pure & Applied Analysis. 16:69-98
We investigate a general parabolic initial-boundary value problem with zero Cauchy data in some anisotropic Hormander inner product spaces. We prove that the operators corresponding to this problem are isomorphisms between appropriate Hormander space