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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 4, Pages 82–90
(Mi vmj488)
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This article is cited in 1 scientific paper (total in 1 paper)
About Silchenko operators semigroup
A. G. Chshiev South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
Abstract:
We consider a class of operator semigroups with integrable singularity at the origin and nondense image. Our approach is based on using the linear relations as the generators of semigroup. The existence of a base generator is proved and a representation of the resolvent of the base generator is also obtained.
Key words:
semigroup of operators, generator of the semigroup, linear relation.
Received: 31.10.2012
Citation:
A. G. Chshiev, “About Silchenko operators semigroup”, Vladikavkaz. Mat. Zh., 15:4 (2013), 82–90
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https://www.mathnet.ru/eng/vmj488 https://www.mathnet.ru/eng/vmj/v15/i4/p82
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Abstract page: | 301 | Full-text PDF : | 85 | References: | 62 | First page: | 1 |
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