| Abstract: | A mixed problem for a system of differential equations with operator coefficients is considered on an interval. Necessary and sufficient conditions for the existence of at least one solution of the given problem are investigated. It is established that the linear manifold of the solutions of the homogeneous problem is finite-dimensional. The obtained results are applied to multidimensional systems of differential equations of composite type, defined in cylindrical domains.Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 16, pp. 25–69, 1992. |
