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Discontinuity, Nonlinearity, and Complexity 13(3) (2024) 411--422 | DOI:10.5890/DNC.2024.09.002

Lamine Bouzettouta

Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS) University of 20 August 1955, Skikda, Algeria

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Abstract

The stabilization of one-dimensional thermoelastic system of full von Kármán beam with a delayed linear frictional damping is considered, where the heat fux is given by Cattaneo's law. Under suitable assumption on the weight of the delay and that of frictional damping, we prove that the system is exponentially stable. The idea here, is to generalize some previous existing results by considering a delayed problem.

Acknowledgments

The authors wish to thank deeply the anonymous supervisor for his/her useful remarks and his/her careful reading of the proofs presented in this paper.

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