Global existence and exponential stability for a nonlinear Timoshenko system with delay

被引：0
作者：
Baowei Feng
Maurício L Pelicer
机构：
[1] Southwestern University of Finance and Economics,Faculty of Economic Mathematics
[2] Universidade Estadual de Maringá,Departamento de Ciências, Campus Regional de Goioerê
来源：
Boundary Value Problems | / 2015卷
关键词：
Timoshenko system; time delay; global existence; exponential stability; 35B40;
D O I：
暂无
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摘要：
This paper is concerned with a nonlinear Timoshenko system modeling clamped thin elastic beams with time delay. The delay is defined on a feedback term associated to the equation for rotation angle. Under suitable assumptions on the data, we establish the well-posedness of the problem with respect to weak solutions. We also establish the exponential stability of the system under the usual equal wave speeds assumption.
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