Work

On the global existence, exponential decay and blow-up of a nonlinear wave equation subject to a boundary fractional damping and time-varying delay

Year: 2025

Type: article

Abstract: 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.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2025038

Authors: Muhammad Fahim Aslam, Jianghao Hao, Zayd Hajjej, Luqman Bashir

Institutions: Shanxi University, University of Kotli, Azad Jammu and Kashmir, King Saud University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, King Saud University

Award: G3786229316