Well-posedness and exponential stability for the logarithmic Lamé system with a time varying delay
Abstract
The focus of this paper revolves around the initial–boundary value problem associated with a logarithmic Lamé system within a bounded domain, and incorporating a time-varying delay. We demonstrate the system’s well-posedness through the application of semigroup theory. Subsequently, we establish the existence of global solutions by employing the well-depth method. Furthermore, we establish exponential decay of solutions under adequate constraints concerning the weight of the time-varying delay and the frictional damping.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Stability and Control of Uncertain Systems
Contact Mechanics and Variational Inequalities
Publication details
- Journal / source
- Mathematical Modelling and Analysis
- Publisher
- Vilnius Gediminas Technical University
- Volume
- 31
- Issue
- 2
- Pages
- 194–213
- Publication date
- 10 February 2026
- Language
- EN