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In this paper, we consider an abstract viscoelastic equation. We use memory-type damping with a general assumption on the relaxation function and establish explicit energy decay result from which we… Click to show full abstract
In this paper, we consider an abstract viscoelastic equation. We use memory-type damping with a general assumption on the relaxation function and establish explicit energy decay result from which we can recover the optimal exponential and polynomial rates. Our result generalizes the earlier related results in the literature.
Keywords:
order evolution;
second order;
asymptotic stability;
stability second;
equation;
memory
Journal Title: Journal of Dynamical and Control Systems
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Dynamical and Control Systems
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!