4 papers
Parameter-dependent inhomogeneous boundary-value problems in Sobolev spaces
Olena Atlasiuk, Vladimir Mikhailets, Jari Taskinen
We study a wide class of linear inhomogeneous boundary-value problems for th order ODE-systems depending on a parameter in a general metric space . The solution…
Continuity in a parameter of solutions to boundary-value problems in Sobolev spaces
Olena Atlasiuk, Vladimir Mikhailets
We consider the most general class of linear inhomogeneous boundary-value problems for systems of ordinary differential equations of an arbitrary order whose solutions and right-ha…
Uniqueness problem for accretive Schrödinger operators with complex singular coefficients
Vladimir Mikhailets, Volodymyr Molyboga
This paper studies the uniqueness problem for the one-dimensional Schrödinger operator associated with the formal differential expression \begin{equation*} l[u] =-u''+qu + i[(ru)'…
Differential systems in Sobolev spaces with generic inhomogeneous boundary conditions
Vladimir Mikhailets, Olena Atlasiuk
The paper contains a review of results on linear systems of ordinary differential equations of an arbitrary order on a finite interval with the most general inhomogeneous boundary…