Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback
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.
Authors
- Elisa Continelli (ORCID: https://orcid.org/0000-0002-0901-1887)
- Cristina Pignotti (ORCID: https://orcid.org/0000-0002-1337-3928)
Publication Details
- Journal
- Advances in Differential Equations
- Published
- 2025-06-27
- DOI
- https://doi.org/10.57262/ade030-0910-601
- Citations
- 2
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 2.43