General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient

Audu, Johnson D.; Mukiawa, Soh Edwin; Júnior, D. S. Almeida

doi:10.1016/j.rinam.2021.100219

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2024

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Cited by 4 publications

(2 citation statements)

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“…Furthermore, in [4,24], the authors presented some existence and stability results for wave equation with internal time-varying delay and time-varying weights; and for suspension bridge models, see Mukiawa [3,27,29,30].…”

Section: Introductionmentioning

confidence: 99%

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Stability of thermoelastic Timoshenko beam with suspenders and time-varying feedback

2023

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This paper considers a one-dimensional thermoelastic Timoshenko beam system with suspenders, general weak internal damping with time varying coefficient, and time-varying delay terms. Under suitable conditions on the nonlinear terms, we prove a general stability result for the beam model, where exponential and polynomial decay are special cases. We also gave some examples to illustrate our theoretical finding.

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Section: Introductionmentioning

confidence: 99%

“…Motivated by the works in [3,6,29], in the current paper, we are concerned with the stability result for the thermoelastic Timoshenko system with suspension cables, timevarying internal feedback, and time-varying weight given in (1.1)-(1.3). The result in [6] is a particular case of our result in this paper.…”

Section: Introductionmentioning

confidence: 99%