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Exponential stability of abstract evolution equations with time delay

Journal of Evolution Equations, ISSN: 1424-3202, Vol: 15, Issue: 1, Page: 107-129
2015
  • 43
    Citations
  • 0
    Usage
  • 13
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    43
    • Citation Indexes
      43
  • Captures
    13

Article Description

We consider abstract semilinear evolution equations with a time-delay feedback. We show that, if the C-semigroup describing the linear part of the model is exponentially stable, then the whole system retains this good property when a suitable smallness condition on the time-delay feedback is satisfied. Some examples illustrating our abstract approach are also given.

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