We study the uniform limit with respect to a parameter for the solutions of a sequence of general boundaryvalue problems for systems of linear ordinary differential equations of any order on a finite interval. An essential generalization of the Kiguradze theorem (1987) for these problems is obtained.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 2, pp. 216–223, February, 2018.
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Mikhailets, V.A., Pelekhata, O.B. & Reva, N.V. Limit Theorems for the Solutions of Boundary-Value Problems. Ukr Math J 70, 243–251 (2018). https://doi.org/10.1007/s11253-018-1498-8
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DOI: https://doi.org/10.1007/s11253-018-1498-8