activity
20162024
most citedA criterion for continuity in a parameter of solutions to generic boundary-value problems for higher-order differential systems

5 citations · 10 across the 6 of their papers we have counts for

collaborators

7 papers

math.CA2024

Solvability of linear boundary-value problems for ordinary differential systems in the space

Vitalii Soldatov

We study linear boundary-value problems for systems of first-order ordinary differential equations with the most general boundary conditions in the normed spaces of continuously di…

math.CA2024

On solvability of the most general linear boundary-value problems in spaces of smooth functions

Vitalii Soldatov

In the paper we develop a general theory of solvability of linear inhomogeneous boundary-value problems for systems of first-order ordinary differential equations in spaces of smoo…

math.CA2021

Approximation properties of solutions to multipoint boundary-value problems

A. A. Murach, O. B. Pelekhata, V. O. Soldatov

We consider a wide class of linear boundary-value problems for systems of ordinary differential equations of order , known as general boundary-value problems. Their solution…

math.CA2020★ 4 cited

Approximation properties of multipoint boundary-value problems

Hanna Masliuk, Olha Pelekhata, Vitalii Soldatov

We consider a wide class of linear boundary-value problems for systems of -th order ordinary differential equations whose solutions range over the normed complex space $(C^{(n)}…

math.CA2018★ 1 cited

One-dimensional parameter-dependent boundary-value problems in Hölder spaces

Hanna Masliuk, Vitalii Soldatov

We study the most general class of linear boundary-value problems for systems of -th order ordinary differential equations whose solutions range over the complex Hölder space $C…

math.CA2016★ 5 cited

A criterion for continuity in a parameter of solutions to generic boundary-value problems for higher-order differential systems

Vladimir Mikhailets, Aleksandr Murach, Vitalii Soldatov

We consider the most general class of linear boundary-value problems for ordinary differential systems, of order , whose solutions belong to the complex space ,…

math.CA2016

Continuity in a parameter of solutions to generic boundary-value problems

Vladimir A. Mikhailets, Aleksandr A. Murach, Vitalii Soldatov

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…