Uniform decay in a Timoshenko-type system with past history期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

where g is a positive differentiable exponentially decaying function. They established an exponential decay result in the case of equal wave-speed propagation and a polynomial decay result in the case of nonequal wave-speed propagation. In this paper, we study the same system, for g decaying polynomially, and prove polynomial stability results for the equal and nonequal wave-speed propagation. Our results are established under conditions on the relaxation function weaker than those in [H.D. Fernández Sare, J.E. Muñoz Rivera, Stability of Timoshenko systems with past history, J. Math. Anal. Appl. 339 (1) (2008) 482–502].

Uniform decay in a Timoshenko-type system with past history

Authors:	Salim A. Messaoudi Belkacem Said-Houari

Affiliation:	^aDepartment of Mathematics and Statistics, KFUPM, Dhahran 31261, Saudi Arabia;^bInstitut de Mathématiques de Toulouse, MIP, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 09, France;^cLaboratoire de Mathématiques Appliquées, Université Badji Mokhtar, B.P. 12, Annaba 23000, Algeria

Abstract:	Fernández Sare and Rivera [H.D. Fernández Sare, J.E. Muñoz Rivera, Stability of Timoshenko systems with past history, J. Math. Anal. Appl. 339 (1) (2008) 482–502] considered the following Timoshenko-type system ρ₁φ_tt−K(φ_x+ψ)_x=0,

Keywords:	Exponential decay Polynomial decay Timoshenko Past history Relaxation function
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