Exponential Stability of a Transmission Problem with History and Delay

  • Beniani Abderrahmane Center University of Belhadj Bouchaib, Ain Temouchent, Algeria.
  • Noureddine Bahri
DOI: https://doi.org/10.19139/soic-2310-5070-728
Keywords: Wave equation, transmission problem, past history, delay term.

Abstract

In this paper, we consider a transmission problem in the presence of history and delay terms.Under appropriate assumptions, we prove well-posedness by using the semigroup theory. Our stability estimate proves that the unique dissipation given by the history term is strong enough to stabilize exponentially the system in presence of delay by introducing a suitable Lyaponov functional.

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Published
2019-12-01
How to Cite
Abderrahmane, B., & Bahri, N. (2019). Exponential Stability of a Transmission Problem with History and Delay. Statistics, Optimization & Information Computing, 7(4), 731-747. https://doi.org/10.19139/soic-2310-5070-728
Issue
Vol 7 No 4 (2019)
Section
Research Articles
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