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

Autor: V. O. Soldatov
Rok vydání: 2015
Předmět:
Zdroj: Ukrainian Mathematical Journal. 67:785-794
ISSN: 1573-9376
0041-5995
Popis: 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.
Databáze: OpenAIRE