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

We introduce the most general class of linear boundary-value problems for systems of ordinary differential equations of order r ae 2 whose solutions belong to a complex Holder space C (n+r,alpha) ([a, b]), where n a a (+), 0 < alpha ae<currency> 1 and [a, b] aS, a"e. We establish sufficient conditions under which the solutions of these problems continuously depend on the parameter in the Holder space C (n + r , alpha) ([a, b]).