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We consider the Fredholm one-dimensional boundary-value problems in Sobolevspaces.We have obtained several important results about the indixes offunctional operators, the criterion of their correct well-posedness, thecriterion of the continuous dependence of the solutions of these problems onthe parameter, the degree of convergence of these solutions, and sufficientconstructive conditions under which the solutions of the most general class ofmultipoint boundary-value problems are continuous with respect to theparameter. Eeach of these boundary-value problems corresponds to a certainrectangular numerical characteristic matrix with kernel and cokernel of thesame dimension as the kernel and cokernel of the boundary-value problem. Theconditions for the sequence of characteristic matrices to converge are found.

On Linear Boundary-Value Problems for Differential Systems in Sobolev spaces