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Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback (2404.17706v1)
Published 26 Apr 2024 in math.AP
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.