Advances in Differential Equations

Exponential decay of Timoshenko systems with indefinite memory dissipation

Hugo D. Fernández Sare and Jaime E. Muñoz Rivera

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We study the asymptotic behavior of Timoshenko systems with memory, where the memory is given by a non-dissipative kernel and is acting only on one equation of the system. We show that the exponential stability depends on conditions regarding the decay rate of the kernel and a nice relationship between the coefficients of the system. Moreover, with full-memory effect in the system, we will show exponential stability in the general case.

Article information

Adv. Differential Equations, Volume 13, Number 7-8 (2008), 733-752.

First available in Project Euclid: 18 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35Q74: PDEs in connection with mechanics of deformable solids
Secondary: 35B35: Stability 35B40: Asymptotic behavior of solutions 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30] 47N20: Applications to differential and integral equations


Muñoz Rivera, Jaime E.; Fernández Sare, Hugo D. Exponential decay of Timoshenko systems with indefinite memory dissipation. Adv. Differential Equations 13 (2008), no. 7-8, 733--752.

Export citation