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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 5, pp. 692–700, May, 2015.
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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 Math J 67, 785–794 (2015). https://doi.org/10.1007/s11253-015-1114-0
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DOI: https://doi.org/10.1007/s11253-015-1114-0