Abstract
In this paper we consider the following viscoelastic Timoshenko system{φtt−(φx+ψ)x=0,ψtt−ψxx+φx+ψ+∫0tg(t−s)ψxx(s)ds+|ψt|m(x)−2ψt=0,with a nonlinear feedback having a variable exponent m(x), and investigate the interaction between the two types of damping. We establish, for the first time as per our knowledge, explicit energy decay rates for this system. Our result generalizes and improves earlier related results in the literature.
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