2017
Том 69
№ 5

All Issues

On the Continuity in a Parameter for the Solutions of Boundary-Value Problems Total with Respect to the Spaces $C^{(n+r)}[a, b]$

Soldatov V. O.


Abstract

We study a broad class of linear boundary-value problems for systems of ordinary differential equations, namely, the problems total with respect to the space $C^{(n+r)}[a, b]$, where $n ∈ ℕ$ and $r$ is the order of the equations. For their solutions, we prove the theorem of existence, uniqueness, and continuous dependence on the parameter in this space.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 5, pp 785-794.

Citation Example: Soldatov V. O. On the Continuity in a Parameter for the Solutions of Boundary-Value Problems Total with Respect to the Spaces $C^{(n+r)}[a, b]$ // Ukr. Mat. Zh. - 2015. - 67, № 5. - pp. 692–700.