Exponential stability in a Timoshenko system of type III

Abstract

In this paper, a Timoshenko system with a delay term and a thermo-viscoelastic damping of type III subjected to Dirichlet–Dirichlet–Neumann boundary conditions will be considered. Exploiting energy method to produce a suitable Lyapunov functional, we establish the global existence and exponential decay of energy for Timoshenko system of type III.

Keywords:

• Timoshenko system
• global existence
• asymptotic behavior

2010 Mathematics Subject Classifications:

• Partial differential equations
• dynamical systems and ergodic theory
• operator theory

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This paper was supported in part by the NNSF of China with contract number 11671075 and the Fundamental Research Funds for Central Universities with contract number 2232021G-13.