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Applied Mathematics and Mechanics

, Volume 39, Issue 11, pp 1661–1678 | Cite as

General decay of energy to a nonlinear viscoelastic two-dimensional beam

  • B. Lekdim
  • A. Khemmoudj
Article
  • 13 Downloads

Abstract

A viscoelastic beam in a two-dimensional space is considered with nonlinear tension. A boundary feedback is applied at the right boundary of the beam to suppress the undesirable vibration. The well-posedness of the problem is established. With the multiplier method, a uniform decay result is proven.

Key words

two-dimensional space viscoelastic beam nonlinear tension exponential decay Lyapunov functional 

Chinese Library Classification

O242 

2010 Mathematics Subject Classification

5B40 35L70 

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Notes

Acknowledgements

The authors would like to express their gratitude to the anonymous referees for giving constructive and fruitful suggestions.

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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of Sciences and Technology Houari BoumedienneBab Ezzouar, AlgiersAlgeria

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