Well‐posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks. (3rd November 2017)

• Record Type: Journal Article
• Authors: Feng, Baowei
• Other Names: Barbatis Gerassimos guestEditor.; Dougalis Vassilios guestEditor.; Stratis Ioannis G. guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 41:Number 3(2018)
• Page Start: 1162
• Page End: 1174
• Publication Date: 2017-11-03
• Subjects: boundary feedbacks -- delay -- exponential decay -- laminated beam -- Timoshenko; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4655
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : 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.