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Memory-type plate system with nonlinear delay

  • Muhammad I. Mustafa EMAIL logo
Veröffentlicht/Copyright: 30. August 2017
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Abstract

In this paper we consider a plate equation with infinite memory in the presence of nonlinear feedbacks with and without delay. Under suitable condition on the weight of the delayed feedback compared with the weight of the non-delayed feedback, we use the energy method to establish an explicit and general decay rate result without imposing restrictive assumptions on the behavior of the relaxation function at infinity.

Acknowledgements

The author thanks University of Sharjah for its continuous support.

References

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Received: 2016-11-18
Accepted: 2017-8-14
Published Online: 2017-8-30
Published in Print: 2017-10-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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