Stability Result for a Weakly Nonlinearly Damped Porous System with Distributed Delay

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DOI: https://doi.org/10.28924/2291-8639-19-2021-812
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Khoudir Kibeche, Lamine Bouzettouta, Abdelhak Djebabla, Fahima Hebhoub, Stability Result for a Weakly Nonlinearly Damped Porous System with Distributed Delay, Int. J. Anal. Appl., 19 (6) (2021), 812-825.

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Khoudir Kibeche, Lamine Bouzettouta, Abdelhak Djebabla, Fahima Hebhoub

Abstract

In this paper, we consider a one-dimensional porous system damped with a single weakly nonlinear feedback and distributed delay term. Without imposing any restrictive growth assumption near the origin on the damping term, we establish an explicit and general decay rate, using a multiplier method and some properties of convex functions in case of the same speed of propagation in the two equations of the system. The result is new and opens more research areas into porous-elastic system.

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