14 citations · 27 across the 11 of their papers we have counts for
12 papers
Limit theorems for differential systems with multipoint boundary conditions in Sobolev spaces
Olena Atlasiuk, Vladimir Mikhailets
The most general class of multipoint inhomogeneous boundary-value problems for systems of linear ordinary differential equations of arbitrary order is investigated, whose…
On 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 belonging to a general metric space . The…
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 solutions…
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…
Weak solutions for a singular beam equation
Olena Atlasiuk, Arnaud Heibig, Adrien Petrov
This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem…
The solvability of inhomogeneous boundary-value problems in Sobolev spaces
Vladimir Mikhailets, Olena Atlasiuk
The aim of the paper is to develop a general theory of solvability of linear inhomogeneous boundary-value problems for systems of ordinary differential equations of arbitrary order…
On Differential Systems in Sobolev spaces with Generic Inhomogeneous Boundary Conditions
Olena Atlasiuk, Vladimir Mikhailets
We study linear systems of ordinary differential equations of an arbitrary order on a finite interval with the most general (generic) inhomogeneous boundary conditions in Sobolev s…
On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces
Vladimir Mikhailets, Olena Atlasiuk, Tetiana Skorobohach
Systems of linear ordinary differential equations with the most general inhomogeneous boundary conditions in fractional Sobolev spaces on a finite interval are studied. The Fredhol…
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…
On Linear Boundary-Value Problems for Differential Systems in Sobolev spaces
Olena Atlasiuk, Vladimir Mikhailets
We consider the Fredholm one-dimensional boundary-value problems in Sobolev spaces.We have obtained several important results about the indixes of functional operators, the criteri…
Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces
Olena Atlasiuk, Vladimir Mikhailets
For systems of linear differential equations on a compact interval, we investigate the~dependence on a parameter of the solutions to boundary-value problems in the So…
Fredholm one-dimensional boundary-value problems in Sobolev spaces
Olena Atlasiuk, Vladimir Mikhailets
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…