کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4619281 | 1631571 | 2009 | 17 صفحه PDF | دانلود رایگان |

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 systemρ1φtt−K(φx+ψ)x=0,ρ1φtt−K(φx+ψ)x=0,ρ2ψtt−bψxx+∫0∞g(t)ψxx(t−s,.)ds+K(φx+ψ)=0, 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].
Journal: Journal of Mathematical Analysis and Applications - Volume 360, Issue 2, 15 December 2009, Pages 459–475