On the reduction of linear systems related to boundary value
problems
The main topic of this work is the investigation of operator
relations which appear during the reduction of linear systems,
particularly in the study of boundary value problems. The first
objective is to improve formulations like "equivalent reduction" by
the help of operator relations. Then we describe how some of these
operator relations can be employed to determine the regularity
class and effective solution of boundary value problems.
Furthermore operator relations are used to put boundary value
problems into a correct space setting, e.g., by operator
normalization.