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Well-posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks. (English) Zbl 1403.35163

Summary: This paper is concerned with laminated beams modeled from the well-established Timoshenko system with time delays and boundary feedbacks. By using semigroup method, we prove the global well-posedness of solutions. Assuming the weights of the delay are small, we establish the exponential decay of energy to the system by using an appropriate Lyapunov functional.

MSC:

35L53 Initial-boundary value problems for second-order hyperbolic systems
35B40 Asymptotic behavior of solutions to PDEs
93D20 Asymptotic stability in control theory
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
35L71 Second-order semilinear hyperbolic equations
35Q74 PDEs in connection with mechanics of deformable solids
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