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Explicit Stability for a Porous Thermoelastic System with Second Sound and Distributed Delay Term [PDF]

open access: closedInternational Journal of Applied and Computational Mathematics, 2021
In the present article, we consider a porous thermoelastic system with distributed delay term in second sound, by using the energy method combined with multiplicative technique, we show the polynomial decay estimate of (1) with (3) in Theorem 2.7 and exponential stability of (1) with conditions (38) in Theorem 3.4.
Abdelhak Djebabla   +3 more
openalex   +2 more sources

Energy decay for viscoelastic plates with distributed delay and source term

open access: closedZeitschrift für angewandte Mathematik und Physik, 2016
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.
Muhammad I. Mustafa, Mohammad Kafini
openalex   +3 more sources

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