General decay for a coupled wave problem with Lord-Shulman thermal heat law and delay
Abstract
This article study a coupled one-dimensional hyperbolic system with Lord-Shulman thermal heat law on the first equation, and a general weak inherent damping, along with time-dependent coefficient and time-varying delay term on the second equation. Using the multiplier method, through a suitable Lyapunov functional, we prove a general decay stability result that encompasses both exponential and polynomial decay estimates as special cases. This result extends and generalizes existing findings in the literature related to the system under study.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Thermoelastic and Magnetoelastic Phenomena
Stability and Control of Uncertain Systems
Publication details
- Journal / source
- Electronic Research Archive
- Volume
- 34
- Issue
- 2
- Pages
- 997–1016
- Publication date
- 1 January 2026