Stability of Timoshenko systems with past history

• Published in: Journal of mathematical analysis and applications Vol. 339; no. 1; pp. 482 - 502
• Main Authors: MUNOZ RIVERA, Jaime E, FERNANDEZ SARE, Hugo D
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Inc 01.03.2008; Elsevier
• Subjects: Exact sciences and technology; Exponential stability; Mathematical analysis; Mathematics; Partial differential equations; Polynomial rate of decay; Sciences and techniques of general use; Timoshenko system; Exponential stability; Timoshenko system; Polynomial rate of decay; Wave equation; Polynomial; Mathematical analysis; Solution decay; Regularity; Numerical stability

We consider vibrating systems of Timoshenko type with past history acting only in one equation. We show that the dissipation given by the history term is strong enough to produce exponential stability if and only if the equations have the same wave speeds. Otherwise the corresponding system does not...