Boundary value problems for generalized differential equations

A new approach to boundary value problems for generalized differential equations is considered. It is shown how to obtain the formulations of boundary value problems studied earlier in the framework of this approach. Properties involving the solvability of such problems are expressed in terms of certain boundary spaces consisting of generalized functions with supports on the boundary. Possible methods for solving boundary value problems arising in this scheme are discussed. The Markov property is obtained for a solution of a boundary value problem for a generalized stochastic differential equation with Markov source.
Bibliography: 11 titles.