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On Distribution Semigroups with a Singularity at Zero and Bounded Solutions of Differential Inclusions |
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| Authors: | A G Baskakov K I Chernyshov |
| Institution: | (1) Voronezh State University, Russia;(2) Voronezh State Academy of Forestry, Russia |
| Abstract: | We study distribution semigroups with a singularity at zero and their generators, and establish a relationship between this semigroup and a degenerate semigroup of linear operators on the open right half-line. The study makes an intensive use of spectral theory of linear relations. Applications to the existence problem for bounded solutions of linear differential inclusions are obtained. |
| Keywords: | distribution semigroup operator semigroup differential inclusion bounded solution resolvent set Banach space spectrum of a relation |
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