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Matematicheskie Zametki, 2006, Volume 79, Issue 1, Pages 19–33
DOI: https://doi.org/10.4213/mzm2671 (Mi mzm2671) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Distribution Semigroups with a Singularity at Zero and Bounded Solutions of Differential Inclusions

A. G. Baskakova, K. I. Chernyshovb

a Voronezh State University
b Voronezh State Academy of Forestry Engineering
Full-text PDF (265 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm2671
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.
Received: 28.05.2004
English version:
Mathematical Notes, 2006, Volume 79, Issue 1, Pages 18–30
DOI: https://doi.org/10.1007/s11006-006-0002-1
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: A. G. Baskakov, K. I. Chernyshov, “On Distribution Semigroups with a Singularity at Zero and Bounded Solutions of Differential Inclusions”, Mat. Zametki, 79:1 (2006), 19–33; Math. Notes, 79:1 (2006), 18–30
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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