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A general decay result of a viscoelastic equation with past history and boundary feedback

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Abstract

In this paper, we consider a viscoelastic equation with a nonlinear feedback localized on a part of the boundary and in the presence of infinite memory term. In the domain as well as on a part of the boundary, we use the multiplier method and some properties of the convex functions to prove an explicit and general decay result.

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Correspondence to Salim A. Messaoudi.

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Messaoudi, S.A., Al-Gharabli, M.M. A general decay result of a viscoelastic equation with past history and boundary feedback. Z. Angew. Math. Phys. 66, 1519–1528 (2015). https://doi.org/10.1007/s00033-014-0476-8

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  • DOI: https://doi.org/10.1007/s00033-014-0476-8

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