An Exponential Stability Result of a Timoshenko System with Thermoelasticity with Second Sound and in the Presence of Delay

Well‐posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks

“…The authors proved the global well‐posedness and exponential decay of energy by assuming the weights of the delay are small enough. For more results concerning Timoshenko system with delay, one can refer to the previous studies() and so on.…”

Stabilization of a type III thermoelastic Timoshenko system in the presence of a time‐distributed delay

“…www.mn-journal.com Lemma 3. 2 The energy E(t) satisfies, along the classical solution of (1.7)-(1.8), the estimate…”

“… examined a coupling Timoshenko‐thermoelasticity of type III system with time delay and established exponential and polynomial stability results depending on the wave propagation speeds. Recently Apalara and Messaoudi replaced the frictional damping in by an internal delay and proved an exponential decay result under a smallness condition on the delay. Apalara added a distibuted delay term in the first equation of and obtained an exponential stability result under an appropriete condition on the weights of the frictional damping and the delay terms.…”

Global existence and stability results for a nonlinear Timoshenko system of thermoelasticity of type III with delay

“…We refer the reader to [9][10][11][12][13][14] for more analogous results. Kafini et al [15], considered a one-dimensional Timoshenko-type system…”