General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term | Zendy

Abdelbaki Choucha | Zendy; Djamel Ouchenane | Zendy; Khaled Zennir | Zendy

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General Decay of Solutions in One-Dimensional Porous-Elastic with Memory and Distributed Delay Term

Author(s) -

Abdelbaki Choucha,

Djamel Ouchenane,

Khaled Zennir

Publication year - 2021

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.52.2021.3519

Subject(s) - term (time) , mathematics , energy method , porous medium , energy (signal processing) , mathematical analysis , porosity , pure mathematics , physics , quantum mechanics , materials science , statistics , composite material

As a continuity to the study by T. A. Apalarain[3], we consider a one-dimensional porous-elastic system with the presence of both memory and distributed delay terms in the second equation. Using the well known energy method combined with Lyapunov functionals approach, we prove a general decay result given in Theorem 2.1.

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