✦ LIBER ✦
How far can relaxation functions be increasing in viscoelastic problems?
✍ Scribed by Nasser-eddine Tatar
- Book ID
- 104000538
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 350 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
It is known that when we add a viscoelastic damping to a frictional damping acting in the domain we might lose the property of exponential stability of the system. Moreover, a necessary condition for a system to be sub-exponentially stable is that the kernel itself must be sub-exponentially decaying to zero. Having this in mind, a natural question to be asked is that of when this necessary condition is also sufficient. We prove that this is the case for a fairly large class of kernels.