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Global Existence and Decay Estimates for a Viscoelastic Petrovsky–Kirchhoff-Type Equation with a Delay Term.

Authors :
Sebih, Noureddine
Mohammed Djaouti, Abdelhamid
Boudekhil, Chafi
Al-Quran, Ashraf
Source :
Axioms (2075-1680). Dec2024, Vol. 13 Issue 12, p869. 21p.
Publication Year :
2024

Abstract

In this paper, we consider a viscoelastic Kirchhoff equation with a delay term in the internal feedback. By using the Faedo–Galerkin approximation method, we prove the well posedness of the global solutions. Introducing suitable energy, we prove the general uniform decay results. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*EQUATIONS

Details

Language :
English
ISSN :
20751680
Volume :
13
Issue :
12
Database :
Academic Search Index
Journal :
Axioms (2075-1680)
Publication Type :
Academic Journal
Accession number :
181953551
Full Text :
https://doi.org/10.3390/axioms13120869