Email this article Exponential Stability of a Certain Semigroup and Applications
- Authors: Zakora D.A.1
-
Affiliations:
- Voronezh State University
- Issue: Vol 103, No 5-6 (2018)
- Pages: 745-760
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150863
- DOI: https://doi.org/10.1134/S0001434618050073
- ID: 150863
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Abstract
The uniform exponential stability of a C0-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.
About the authors
D. A. Zakora
Voronezh State University
Author for correspondence.
Email: dmitry.zkr@gmail.com
Russian Federation, Voronezh
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