Article ID Journal Published Year Pages File Type
4610523 Journal of Differential Equations 2014 26 Pages PDF
Abstract

We analyze the differential system{ρ1φtt−κ(φx+ψ)x=0ρ2ψtt−bψxx+κ(φx+ψ)+δθx=0ρ3θt−1β∫0∞g(s)θxx(t−s)ds+δψtx=0 describing a Timoshenko beam coupled with a temperature evolution of Gurtin–Pipkin type. A necessary and sufficient condition for exponential stability is established in terms of the structural parameters of the equations. In particular, we generalize previously known results on the Fourier–Timoshenko and the Cattaneo–Timoshenko beam models.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, ,