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

  • V. O. Soldatov

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.
Published
25.05.2015
How to Cite
SoldatovV. O. “On the Continuity in a Parameter for the Solutions of Boundary-Value Problems Total With Respect to the Spaces $C^{(n+r)}[a, b]$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 5, May 2015, pp. 692–700, http://umj.imath.kiev.ua/index.php/umj/article/view/2015.
Section
Research articles