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For systems of linear differential equations on a compact interval, weinvestigate the~dependence on a parameter $\varepsilon$ of the solutions toboundary-value problems in the Sobolev spaces $W^{n}_{\infty}$. We obtain aconstructive criterion of the continuous dependence of the solutions of theseproblems on the~parameter $\varepsilon$ for $\varepsilon=0$. The degree ofconvergence of these solutions is established.

Fredholm one-dimensional boundary-value problems with parameter in Sobolev spaces