Semigroup structure underlying evoluations | Zendy

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Semigroup structure underlying evoluations

Author(s) -

Gary Parker

Publication year - 1982

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/s0161171282000040

Subject(s) - mathematics , semigroup , invertible matrix , resolvent , generator (circuit theory) , class (philosophy) , pure mathematics , discrete mathematics , power (physics) , computer science , physics , quantum mechanics , artificial intelligence

A member of a class of evolution systems is defined by averaging a one parameter family of invertible transformations G with a semigroup T. The resulting evolution system, U(t,s)=G(t)T(t−s)G(s)−1, preserves continuity and strong continuity, and in case G is a linear family, may have an identifiable generator and resolvent both of which are constructed from T. Occurrences of the class of evolutions are given to show possible applications

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