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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 2, Pages 293–308
DOI: https://doi.org/10.17377/smzh.2018.59.205 (Mi smj2972) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Solutions almost periodic at infinity to differential equations with unbounded operator coefficients

A. G. Baskakov, I. I. Strukova, I. A. Trishina

Voronezh State University, Voronezh, Russia
Full-text PDF (353 kB) Citations (13)
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DOI: https://doi.org/10.17377/smzh.2018.59.205
Abstract: The new class of functions almost periodic at infinity is defined using the subspace of functions with integrals decreasing at infinity. We obtain spectral criteria for almost periodicity at infinity of bounded solutions to differential equations with unbounded operator coefficients. For the new class of asymptotically finite operator semigroups we prove the almost periodicity at infinity of their orbits.
Keywords: functions almost periodic at infinity, Banach modules, differential equations with unbounded operator coefficients, function spectrum, operator spectrum, operator semigroups.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.3464.2017/4.6
Russian Foundation for Basic Research 16-01-00197
The first author was supported by the Ministry of Science and Education of the Russian Federation (Grant 1.3464.2017/4.6) and the second author was supported by the Russian Foundation for Basic Research (Grant 16-01-00197).
Received: 27.06.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 2, Pages 231–242
DOI: https://doi.org/10.1134/S0037446618020052
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35R30
Language: Russian
Citation: A. G. Baskakov, I. I. Strukova, I. A. Trishina, “Solutions almost periodic at infinity to differential equations with unbounded operator coefficients”, Sibirsk. Mat. Zh., 59:2 (2018), 293–308; Siberian Math. J., 59:2 (2018), 231–242
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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