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Continuity of the Solutions of One-Dimensional Boundary-Value Problems in Hölder Spaces with Respect to the Parameter

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Ukrainian Mathematical Journal Aims and scope

We introduce the most general class of linear boundary-value problems for systems of ordinary differential equations of order r ≥ 2 whose solutions belong to a complex Hölder space C n+r,α([a, b]), where n ∈ ℤ +, 0 < α ≤ 1 and [a, b] ⊂ ℝ. We establish sufficient conditions under which the solutions of these problems continuously depend on the parameter in the Hölder space C n + r , α([a, b]).

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Authors and Affiliations

  1. Sikorsky “Kyiv Polytechnic Institute” Ukrainian National Technical University, Kyiv, Ukraine

    H. O. Maslyuk

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  1. H. O. Maslyuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 1, pp. 83–91, January, 2017.

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Maslyuk, H.O. Continuity of the Solutions of One-Dimensional Boundary-Value Problems in Hölder Spaces with Respect to the Parameter. Ukr Math J 69, 101–110 (2017). https://doi.org/10.1007/s11253-017-1349-z

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  • DOI: https://doi.org/10.1007/s11253-017-1349-z

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