General decay of energy to a nonlinear viscoelastic two-dimensional beam  

作　　者：B.LEKDIM A.KHEMMOUDJ 

机构地区：[1]Faculty of Mathematics, University of Sciences and Technology Houari Boumedienne

出　　处：《Applied Mathematics and Mechanics(English Edition)》2018年第11期1661-1678,共18页应用数学和力学（英文版）

摘　　要：A viscoelastic beam in a two-dimensional space is considered with nonlinear tension. A boundary feedback is applied at the right boundary of the beam to suppress the undesirable vibration. The well-posedness of the problem is established. With the multiplier method, a uniform decay result is proven.A viscoelastic beam in a two-dimensional space is considered with nonlinear tension. A boundary feedback is applied at the right boundary of the beam to suppress the undesirable vibration. The well-posedness of the problem is established. With the multiplier method, a uniform decay result is proven.

关 键 词：two-dimensional space viscoelastic beam nonlinear tension exponential decay Lyapunov functional 

分 类 号：O242[理学—计算数学]