In order to give an intrinsic and axiomatic formulation of continuum physics, the differential operators are studied in the language of \textit{derivative spaces} as introduced by A. Prastaro. Useful generalizations of differential operators are given by introducing \textit{derivative operators} and {\it functional differential operators}. Finally differential equations are considered as suitable subspaces of derivative spaces.
On the general structure of continuum physics, II / Prastaro, Agostino. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. SUPPLEMENTO, FISICA MATEMATICA. - ISSN 1825-0785. - STAMPA. - 5:S-FM(1981), pp. 69-106.
On the general structure of continuum physics, II.
PRASTARO, Agostino
1981
Abstract
In order to give an intrinsic and axiomatic formulation of continuum physics, the differential operators are studied in the language of \textit{derivative spaces} as introduced by A. Prastaro. Useful generalizations of differential operators are given by introducing \textit{derivative operators} and {\it functional differential operators}. Finally differential equations are considered as suitable subspaces of derivative spaces.File allegati a questo prodotto
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