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Polynomial Decay for the Timoshenko System with Dynamical Boundary Conditions

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Abstract

In this study, we show that the solution of Timoshenko systems with past history and dynamical boundary condition decays polynomially in the case where the wave speeds of equations are different. Our method is based on the semigroup technique and the contraction argument of frequency domain method.

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Acknowledgements

The authors would like to thank the anonymous referees for their valuable suggested comments. The first author would like to express his gratitude to DGRSDT for the financial support. The authors are grateful to the editors for their help.

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  1. Laboratoire SDG, Faculty of Mathematics, University of Science and Technology Houari Boumedienne, P.O. Box 32, El-Alia, 16111, Bab Ezzouar, Algiers, Algeria

    Ammar Khemmoudj & Naouel Kechiche

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  1. Ammar Khemmoudj
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  2. Naouel Kechiche
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Khemmoudj, A., Kechiche, N. Polynomial Decay for the Timoshenko System with Dynamical Boundary Conditions. Bull. Malays. Math. Sci. Soc. 45, 1195–1212 (2022). https://doi.org/10.1007/s40840-021-01226-4

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  • DOI: https://doi.org/10.1007/s40840-021-01226-4

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