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Well‐posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks
Author(s) -
Feng Baowei
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4655
Subject(s) - semigroup , exponential decay , mathematics , boundary (topology) , exponential stability , energy method , exponential growth , mathematical analysis , exponential function , boundary value problem , timoshenko beam theory , lyapunov function , energy (signal processing) , control theory (sociology) , beam (structure) , physics , computer science , statistics , control (management) , nonlinear system , quantum mechanics , artificial intelligence , nuclear physics , optics
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.