ABSTRACT

Briefly said and anticipating a little on terminology clarified later ( 1 ), the purpose of this paper is to investigate the relation(s) between “signals” and “responses” in parabolic systems with interactions represented by distributions or hyperfunctions. First for the moment let us recall (from [3]) that in the setting of a general Banach space X a system as mentioned above, and in the title, is considered to be governed by an equation of the form (more details in section 1):