Energy decay of solution for nonlinear delayed transmission problem

Energy decay of solution for nonlinear delayed transmission problem

In this work, we consider a nonlinear transmission problem in the bounded domain with a delay term in the first equation. Under conditions on the weight of the damping and the weight of the delay, we prove general stability estimates by introducing a suitable Lyapunov functional and using the proper...

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Veröffentlicht in:AIMS mathematics 2023-01, Vol.8 (6), p.13815-13829
Hauptverfasser: Moumen, Abdelkader, Beniani, Abderrahmane, Alraqad, Tariq, Saber, Hicham, Ali, Ekram. E., Bouhali, Keltoum, Zennir, Khaled
Format: Artikel
Sprache:eng
Schlagworte:
decay rate
delay term
lyapunov functions
nonlinear transmission problem
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Beschreibung
Zusammenfassung:In this work, we consider a nonlinear transmission problem in the bounded domain with a delay term in the first equation. Under conditions on the weight of the damping and the weight of the delay, we prove general stability estimates by introducing a suitable Lyapunov functional and using the properties of convex functions.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2023707