The control of Timoshenko beams by memory-type boundary conditions

ABSTRACT

In this paper, we consider a Timoshenko system subject to viscoelastic damping acting on a part of the boundary. We use a general assumption on the relaxation function and establish explicit energy decay result from which we can recover the optimal exponential and polynomial rates. Our result generalizes the earlier related results in the literature.

COMMUNICATED BY:

• Brahim Amaziane

KEYWORDS:

• General decay
• viscoelasticity
• boundary damping

2000 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 35B40
• 74D99
• 93D15
• 93D20

Disclosure statement

No potential conflict of interest was reported by the authors.