AIMS Mathematics (Feb 2024)

Decay for thermoelastic laminated beam with nonlinear delay and nonlinear structural damping

  • Hicham Saber ,
  • Fares Yazid,
  • Fatima Siham Djeradi,
  • Mohamed Bouye,
  • Khaled Zennir

DOI
https://doi.org/10.3934/math.2024337
Journal volume & issue
Vol. 9, no. 3
pp. 6916 – 6932

Abstract

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This paper discussed the decay of a thermoelastic laminated beam subjected to nonlinear delay and nonlinear structural damping. We provided explicit and general energy decay rates of the solution by imposing suitable conditions on both weight delay and wave speeds. To achieve this, we leveraged the properties of convex functions and employed the multiplier technique as a specific approach to demonstrate our stability results.

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