Dynamics of Partial Differential Equations

Volume 10 (2013)

Number 4

Timoshenko systems with fading memory

Pages: 367 – 377

DOI: http://dx.doi.org/10.4310/DPDE.2013.v10.n4.a4

Authors

Monica Conti (Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, Italy)

Filippo Dell’oro (Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, Italy)

Vittorino Pata (Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, Italy)

Abstract

The decay properties of the semigroup generated by a linear Timoshenko system with fading memory are discussed. Uniform stability is shown to occur within a necessary and sufficient condition on the memory kernel $\mu$.

Keywords

Timoshenko system, fading memory, contraction semigroup, exponential stability

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