Feng, Baowei Well-posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks. (English) Zbl 1403.35163 Math. Methods Appl. Sci. 41, No. 3, 1162-1174 (2018). 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. Cited in 30 Documents 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 Keywords:laminated beam; semigroup method; Lyapunov functional PDFBibTeX XMLCite \textit{B. Feng}, Math. Methods Appl. Sci. 41, No. 3, 1162--1174 (2018; Zbl 1403.35163) Full Text: DOI