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

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.