Hybrid solution of weakly formulated boundary-value problems

A weak formulation of linear two-point boundary-value problems is introduced. Then the factorization method, which is suitable for hybrid computation, is applied. So we can treat the problems with right-hand side containing Dirac distributions or some more general ones. In the general case, the coefficient of the differential operator are measurable bounded and the right-hand side belong to the relevant Sobolev space of distribution. Practical examples are given.