Stability Result for a Weakly Nonlinearly Damped Porous System with Distributed Delay
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Published:2021-10-28
Issue:6
Volume:19
Page:812-825
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ISSN:2291-8639
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Container-title:International Journal of Analysis and Applications
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language:
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Short-container-title:Int. J. Anal. Appl.
Author:
Kibeche Khoudir,Bouzettouta Lamine,Djebabla Abdelhak,Hebhoub Fahima
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.
Publisher
SCIK Publishing Corporation