Abstract
We obtain necessary and sufficient conditions for the solvability of a two-point boundary-value problem for systems of linear differential equations of the second order in the critical case where the corresponding homogeneous boundary-value problem has nontrivial solutions. We construct the general solution of the considered boundary-value problem.
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References
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Additional information
Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 52, No. 6, pp. 861–864, June, 2000.
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Shovkoplyas, T.S. A criterion for the solvability of A linear boundary-value problem for A system of the second order. Ukr Math J 52, 987–991 (2000). https://doi.org/10.1007/BF02591795
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DOI: https://doi.org/10.1007/BF02591795