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Energy decay for viscoelastic plates with distributed delay and source term

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Abstract

In this paper we consider a viscoelastic plate equation with distributed delay and source term. Under suitable conditions on the delay and source term, we establish an explicit and general decay rate result without imposing restrictive assumptions on the behavior of the relaxation function at infinity. Our result allows a wider class of relaxation functions and improves earlier results in the literature.

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Authors and Affiliations

  1. Department of Mathematics, University of Sharjah, Sharjah, United Arab Emirates

    Muhammad I. Mustafa

  2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

    Mohammad Kafini

Authors
  1. Muhammad I. Mustafa
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  2. Mohammad Kafini
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Correspondence to Muhammad I. Mustafa.

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Mustafa, M.I., Kafini, M. Energy decay for viscoelastic plates with distributed delay and source term. Z. Angew. Math. Phys. 67, 36 (2016). https://doi.org/10.1007/s00033-016-0641-3

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  • DOI: https://doi.org/10.1007/s00033-016-0641-3

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