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A New Class of Kernels Leading to an Arbitrary Decay in Viscoelasticity

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Abstract

A new assumption on the relaxation in a viscoelastic problem ensuring uniform stability in an arbitrary rate is established. This assumption replaces a usual condition and allows for a much wider class of kernels. As consequences several earlier results are extended and improved.

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  1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, KFUPM Box# 5047, Dhahran, 31261, Saudi Arabia

    Nasser–eddine Tatar

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  1. Nasser–eddine Tatar
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Tatar, N. A New Class of Kernels Leading to an Arbitrary Decay in Viscoelasticity. Mediterr. J. Math. 10, 213–226 (2013). https://doi.org/10.1007/s00009-012-0177-5

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  • DOI: https://doi.org/10.1007/s00009-012-0177-5

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