On the global existence, exponential decay and blow-up of a nonlinear wave equation subject to a boundary fractional damping and time-varying delay
This study examines a nonlinear wave equation with boundary fractional damping and time-varying delay. After proving the existence of a global solution, we establish exponential stability by constructing an appropriate Lyapunov functional. Finally, we prove the blow-up phenomenon using the potential-well method.
Authors
- Zayd Hajjej (ORCID: https://orcid.org/0000-0003-0622-0779)
- Jianghao Hao (ORCID: https://orcid.org/0000-0002-3573-8406)
- Muhammad Fahim Aslam (ORCID: https://orcid.org/0000-0002-0572-2876)
- Luqman Bashir
Institutions
- Shanxi University (CN)
- King Saud University (SA)
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems - S
- Published
- 2025-03-31
- DOI
- https://doi.org/10.3934/dcdss.2025038
- Citations
- 5
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 6.07
Funders
- National Natural Science Foundation of China
- King Saud University