In this paper, we study well-posedness and exponential stability for semilinear second-order evolution equations with memory and time-varying delay feedback. The time delay function is assumed to be continuous and bounded. Under a suitable assumption on the delay feedback, we are able to prove that solutions corresponding to small initial data are globally defined and satisfy an exponential decay estimate.
Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback
Continelli, Elisa;Pignotti, Cristina
2025-01-01
Abstract
In this paper, we study well-posedness and exponential stability for semilinear second-order evolution equations with memory and time-varying delay feedback. The time delay function is assumed to be continuous and bounded. Under a suitable assumption on the delay feedback, we are able to prove that solutions corresponding to small initial data are globally defined and satisfy an exponential decay estimate.File in questo prodotto:
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