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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… Click to show full 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.
Keywords:
stability certain;
semigroup applications;
certain semigroup;
exponential stability;
stability
Journal Title: Mathematical Notes
Year Published: 2018
Link to full text (if available)
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Journal Title: Mathematical Notes
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!