From the 1 of 6 linked papers with an AI index.
6 papers
Limit theorems for differential systems with multipoint boundary conditions in Sobolev spaces
Olena Atlasiuk, Vladimir Mikhailets
The paper studies very general multipoint boundary-value problems for linear ordinary differential systems, focusing on solutions in Sobolev spaces and providing conditions for con…
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 . Th…
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…
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…