Bibliographic Details
| Title: |
Well-posedness and exponential stability for the logarithmic Lamé system with a time varying delay. |
| Authors: |
Yazid, Fares1, Boulaaras, Salah2 s.boularas@qu.edu.sa, Shahrouzi, Mohammad3 |
| Source: |
Mathematical Modelling & Analysis. 2026, Vol. 31 Issue 2, p194-213. 20p. |
| Subjects: |
Time delay systems, Exponential stability, Initial value problems, Semigroups (Algebra), Uniqueness (Mathematics), Damping (Mechanics) |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
