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Matematicheskie Zametki, 2018, Volume 103, Issue 5, Pages 702–719
DOI: https://doi.org/10.4213/mzm11703 (Mi mzm11703) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Exponential Stability of a Certain Semigroup and Applications

D. A. Zakoraab

a Voronezh State University
b Crimea Federal University, Simferopol
Full-text PDF (601 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm11703
Abstract: The uniform exponential stability of a $C_0$-semigroup with generator of a special form is proved. Such semigroups arise in the study of various problems of the theory of viscoelasticity. The proved statement is applied to the study of the asymptotic behavior of solutions in the problem of small motions of a viscoelastic body subject to driving forces of a special form.
Keywords: $C_0$-semigroup, integro-differential equation, exponential stability, materials with memory, asymptotics.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Z50.31.0037
This work was supported by the Ministry of Education and Science of the Russian Federation (grant no. 14.Z50.31.0037).
Received: 29.05.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 5, Pages 745–760
DOI: https://doi.org/10.1134/S0001434618050073
Bibliographic databases:
Document Type: Article
UDC: 517.968.72
Language: Russian
Citation: D. A. Zakora, “Exponential Stability of a Certain Semigroup and Applications”, Mat. Zametki, 103:5 (2018), 702–719; Math. Notes, 103:5 (2018), 745–760
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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