Semigroup structure underlying evoluations
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...
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| Format: | Article |
| Language: | English |
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Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171282000040 |
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| _version_ | 1849468055509270528 |
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| author | G. Edgar Parker |
| author_facet | G. Edgar Parker |
| author_sort | G. Edgar Parker |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-fac2a863a7db4b8a970ec6cab45d8003 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fac2a863a7db4b8a970ec6cab45d80032025-08-20T03:25:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-0151314010.1155/S0161171282000040Semigroup structure underlying evoluationsG. Edgar Parker0Department of Mathematics, Pan American University, Edinburg 78539, Texas, USAA 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.http://dx.doi.org/10.1155/S0161171282000040evolution systemsemigroup of transformationsresolvent. |
| spellingShingle | G. Edgar Parker Semigroup structure underlying evoluations International Journal of Mathematics and Mathematical Sciences evolution system semigroup of transformations resolvent. |
| title | Semigroup structure underlying evoluations |
| title_full | Semigroup structure underlying evoluations |
| title_fullStr | Semigroup structure underlying evoluations |
| title_full_unstemmed | Semigroup structure underlying evoluations |
| title_short | Semigroup structure underlying evoluations |
| title_sort | semigroup structure underlying evoluations |
| topic | evolution system semigroup of transformations resolvent. |
| url | http://dx.doi.org/10.1155/S0161171282000040 |
| work_keys_str_mv | AT gedgarparker semigroupstructureunderlyingevoluations |