Global Existence and Decay Estimates for a Viscoelastic Petrovsky–Kirchhoff-Type Equation with a Delay Term
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.
Authors
- Noureddine Sebih
- Abdelhamid Mohammed Djaouti (ORCID: https://orcid.org/0000-0003-0413-5626)
- Chafi Boudekhil
- Ashraf Al-Quran (ORCID: https://orcid.org/0000-0002-1140-1710)
Institutions
- Université Djilali de Sidi Bel Abbès (DZ)
- King Faisal University (SA)
Publication Details
- Journal
- Axioms
- Published
- 2024-12-13
- DOI
- https://doi.org/10.3390/axioms13120869
- Citations
- 1
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.33